Yim, Jaeryun; Sheen, Dongwoo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. I: Fundamental results on dimensions, bases, solvers, and error analysis. (English) Zbl 07777376 Numer. Methods Partial Differ. Equations 39, No. 5, 3725-3753 (2023). MSC: 65N30 65N15 65F20 65F55 65F10 15A09 PDFBibTeX XMLCite \textit{J. Yim} and \textit{D. Sheen}, Numer. Methods Partial Differ. Equations 39, No. 5, 3725--3753 (2023; Zbl 07777376) Full Text: DOI arXiv
Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. (English) Zbl 07777356 Numer. Methods Partial Differ. Equations 39, No. 4, 3309-3331 (2023). MSC: 65N30 65N15 65D30 65F10 65F05 35B27 35B05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Yim} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3309--3331 (2023; Zbl 07777356) Full Text: DOI arXiv
Tyrylgin, Aleksei; Vasilyeva, Maria; Alikhanov, Anatoly; Sheen, Dongwoo A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media. (English) Zbl 1502.65146 J. Comput. Appl. Math. 418, Article ID 114670, 18 p. (2023). MSC: 65M60 65M06 65N30 65M15 76S05 74F10 74L10 74R10 76M10 76M20 74S05 74S20 35Q35 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{A. Tyrylgin} et al., J. Comput. Appl. Math. 418, Article ID 114670, 18 p. (2023; Zbl 1502.65146) Full Text: DOI arXiv
Byrne, David P.; Martin, Leslie A.; Nah, Jia Sheen Price discrimination by negotiation: a field experiment in retail electricity. (English) Zbl 1501.91068 Q. J. Econ. 137, No. 4, 2499-2537 (2022). MSC: 91B24 91B74 91-05 PDFBibTeX XMLCite \textit{D. P. Byrne} et al., Q. J. Econ. 137, No. 4, 2499--2537 (2022; Zbl 1501.91068) Full Text: DOI
Ascher, Uri M.; Larionov, Egor; Sheen, Seung Heon; Pai, Dinesh K. Simulating deformable objects for computer animation: a numerical perspective. (English) Zbl 1493.65039 J. Comput. Dyn. 9, No. 2, 47-68 (2022). MSC: 65D18 68U05 PDFBibTeX XMLCite \textit{U. M. Ascher} et al., J. Comput. Dyn. 9, No. 2, 47--68 (2022; Zbl 1493.65039) Full Text: DOI arXiv
Cho, Kanghun; Sheen, Dongwoo Simple quadrature rules for a nonparametric nonconforming quadrilateral element. arXiv:2201.10652 Preprint, arXiv:2201.10652 [math.NA] (2022). MSC: 65N30 BibTeX Cite \textit{K. Cho} and \textit{D. Sheen}, ``Simple quadrature rules for a nonparametric nonconforming quadrilateral element'', Preprint, arXiv:2201.10652 [math.NA] (2022) Full Text: arXiv OA License
Cho, Kanghun; Lim, Roktaek; Sheen, Dongwoo Algebraic Multiscale Method for one–dimensional elliptic problems. arXiv:2201.10645 Preprint, arXiv:2201.10645 [math.NA] (2022). MSC: 65N30 BibTeX Cite \textit{K. Cho} et al., ``Algebraic Multiscale Method for one--dimensional elliptic problems'', Preprint, arXiv:2201.10645 [math.NA] (2022) Full Text: arXiv OA License
Cho, Kanghun; Kim, Imbunm; Kim, Raehyun; Sheen, Dongwoo Algebraic Multiscale Method for two–dimensional elliptic problems. arXiv:2201.10640 Preprint, arXiv:2201.10640 [math.NA] (2022). MSC: 65N30 BibTeX Cite \textit{K. Cho} et al., ``Algebraic Multiscale Method for two--dimensional elliptic problems'', Preprint, arXiv:2201.10640 [math.NA] (2022) Full Text: arXiv OA License
Sheen, Dongwoo \(P_1\)-nonconforming polyhedral finite elements in high dimensions. (English) Zbl 1447.65160 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 121-133 (2020). MSC: 65N30 35J15 PDFBibTeX XMLCite \textit{D. Sheen}, MATRIX Book Ser. 3, 121--133 (2020; Zbl 1447.65160) Full Text: DOI arXiv
Saito, Norikazu (ed.); Sheen, Dongwoo (ed.); Xie, Ziqing (ed.) Special feature: The seventh China-Japan-Korea joint conference on numerical mathematics (CJK2018). (English) Zbl 1440.00029 Japan J. Ind. Appl. Math. 36, No. 3, 987-988 (2019). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{N. Saito} (ed.) et al., Japan J. Ind. Appl. Math. 36, No. 3, 987--988 (2019; Zbl 1440.00029) Full Text: DOI
Lin, Tao; Sheen, Dongwoo; Zhang, Xu A nonconforming immersed finite element method for elliptic interface problems. (English) Zbl 1415.65260 J. Sci. Comput. 79, No. 1, 442-463 (2019). MSC: 65N30 35R05 35J25 65N15 PDFBibTeX XMLCite \textit{T. Lin} et al., J. Sci. Comput. 79, No. 1, 442--463 (2019; Zbl 1415.65260) Full Text: DOI arXiv
Jeon, Youngmok; Sheen, Dongwoo Upwind hybrid spectral difference methods for steady-state Navier-Stokes equations. (English) Zbl 1407.65249 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 621-644 (2018). MSC: 65N06 65N35 76D05 76M20 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{D. Sheen}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 621--644 (2018; Zbl 1407.65249) Full Text: DOI
Kim, Hyoeun; Lim, Roktaek; Seo, Young-Il; Sheen, Dongwoo A modified von Bertalanffy growth model dependent on temperature and body size. (English) Zbl 1382.92265 Math. Biosci. 294, 57-61 (2017). MSC: 92D99 PDFBibTeX XMLCite \textit{H. Kim} et al., Math. Biosci. 294, 57--61 (2017; Zbl 1382.92265) Full Text: DOI
Lim, Roktaek; Sheen, Dongwoo Nonconforming finite element method applied to the driven cavity problem. (English) Zbl 1373.76095 Commun. Comput. Phys. 21, No. 4, 1012-1038 (2017). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{R. Lim} and \textit{D. Sheen}, Commun. Comput. Phys. 21, No. 4, 1012--1038 (2017; Zbl 1373.76095) Full Text: DOI arXiv
Ku, Jaeun; Lee, Young Ju; Sheen, Dongwoo A hybrid two-step finite element method for flux approximation: a priori estimates. (English) Zbl 1379.65089 ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1303-1316 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{J. Ku} et al., ESAIM, Math. Model. Numer. Anal. 51, No. 4, 1303--1316 (2017; Zbl 1379.65089) Full Text: DOI
Bangerth, Wolfgang; Kim, Imbunm; Sheen, Dongwoo; Yim, Jaeryun On hanging node constraints for nonconforming finite elements using the Douglas-Santos-Sheen-Ye element as an example. (English) Zbl 1369.65142 SIAM J. Numer. Anal. 55, No. 4, 1719-1739 (2017). MSC: 65N30 65N50 PDFBibTeX XMLCite \textit{W. Bangerth} et al., SIAM J. Numer. Anal. 55, No. 4, 1719--1739 (2017; Zbl 1369.65142) Full Text: DOI
Lee, Chak Shing; Sheen, Dongwoo Nonconforming generalized multiscale finite element methods. (English) Zbl 1382.65411 J. Comput. Appl. Math. 311, 215-229 (2017). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{C. S. Lee} and \textit{D. Sheen}, J. Comput. Appl. Math. 311, 215--229 (2017; Zbl 1382.65411) Full Text: DOI
Jin, Bangti; Lazarov, Raytcho; Sheen, Dongwoo; Zhou, Zhi Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data. (English) Zbl 1333.65111 Fract. Calc. Appl. Anal. 19, No. 1, 69-93 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 35R11 65M15 PDFBibTeX XMLCite \textit{B. Jin} et al., Fract. Calc. Appl. Anal. 19, No. 1, 69--93 (2016; Zbl 1333.65111) Full Text: DOI arXiv
Meng, Zhaoliang; Luo, Zhongxuan; Sheen, Dongwoo; Kim, Sihwan Convergence analysis of a family of 14-node brick elements. (English) Zbl 1382.65415 J. Comput. Appl. Math. 301, 53-63 (2016). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{Z. Meng} et al., J. Comput. Appl. Math. 301, 53--63 (2016; Zbl 1382.65415) Full Text: DOI arXiv
Kim, Sihwan; Yim, Jaeryun; Sheen, Dongwoo Stable cheapest nonconforming finite elements for the Stokes equations. (English) Zbl 1382.76170 J. Comput. Appl. Math. 299, 2-14 (2016). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{S. Kim} et al., J. Comput. Appl. Math. 299, 2--14 (2016; Zbl 1382.76170) Full Text: DOI arXiv
Meng, Zhaoliang; Luo, Zhongxuan; Sheen, Dongwoo A new cubic nonconforming finite element on rectangles. (English) Zbl 1320.65179 Numer. Methods Partial Differ. Equations 31, No. 3, 691-705 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 PDFBibTeX XMLCite \textit{Z. Meng} et al., Numer. Methods Partial Differ. Equations 31, No. 3, 691--705 (2015; Zbl 1320.65179) Full Text: DOI arXiv
Cho, Yongjin; Kim, Imbunm; Sheen, Dongwoo A fractional-order model for MINMOD millennium. (English) Zbl 1315.92044 Math. Biosci. 262, 36-45 (2015). MSC: 92C50 PDFBibTeX XMLCite \textit{Y. Cho} et al., Math. Biosci. 262, 36--45 (2015; Zbl 1315.92044) Full Text: DOI
Kim, Imbunm; Kwon, Hee-Dae; Lee, Seonjeong; Sheen, Dongwoo Estimation of parameter functions in ordinary differential equations with a stage structure: a linear case. (English) Zbl 1310.34023 Inverse Probl. Sci. Eng. 23, No. 2, 235-255 (2015). MSC: 34A55 65L09 PDFBibTeX XMLCite \textit{I. Kim} et al., Inverse Probl. Sci. Eng. 23, No. 2, 235--255 (2015; Zbl 1310.34023) Full Text: DOI
Jeon, Y.; Park, E.-J.; Sheen, D. A hybridized finite element method for the Stokes problem. (English) Zbl 1361.35128 Comput. Math. Appl. 68, No. 12, Part B, 2222-2232 (2014). MSC: 35Q30 65N30 PDFBibTeX XMLCite \textit{Y. Jeon} et al., Comput. Math. Appl. 68, No. 12, Part B, 2222--2232 (2014; Zbl 1361.35128) Full Text: DOI
Kim, Sihwan; Luo, Zhongxuan; Meng, Zhaoliang; Sheen, Dongwoon Numerical study on three-dimensional quadratic nonconforming brick elements. (English) Zbl 1332.65168 East-West J. Math. 16, No. 1, 63-77 (2014). MSC: 65N30 74B05 74S05 35J25 35J05 PDFBibTeX XMLCite \textit{S. Kim} et al., East-West J. Math. 16, No. 1, 63--77 (2014; Zbl 1332.65168)
Meng, Zhaoliang; Sheen, Dongwoo; Luo, Zhongxuan; Kim, Sihwan Three-dimensional quadratic nonconforming brick element. (English) Zbl 1355.65158 Numer. Methods Partial Differ. Equations 30, No. 1, 158-174 (2014). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Meng} et al., Numer. Methods Partial Differ. Equations 30, No. 1, 158--174 (2014; Zbl 1355.65158) Full Text: DOI arXiv
Jeon, Youngmok; Nam, Hyun; Sheen, Dongwoo A nonconforming quadrilateral element with maximal inf-sup constant. (English) Zbl 1302.76104 Numer. Methods Partial Differ. Equations 30, No. 1, 120-132 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Jeon} et al., Numer. Methods Partial Differ. Equations 30, No. 1, 120--132 (2014; Zbl 1302.76104) Full Text: DOI
Lee, Seonjeong; Kim, Dongyung; Sheen, Dongwoo An exact method to find a circle passing through two points and minimizing the maximal weighted distance to a set of points. (English) Zbl 1352.94096 Comput. Oper. Res. 40, No. 5, 1300-1305 (2013). MSC: 94C05 51M15 90C47 PDFBibTeX XMLCite \textit{S. Lee} et al., Comput. Oper. Res. 40, No. 5, 1300--1305 (2013; Zbl 1352.94096) Full Text: DOI
Lin, Tao; Sheen, Dongwoo; Zhang, Xu A locking-free immersed finite element method for planar elasticity interface problems. (English) Zbl 1349.74328 J. Comput. Phys. 247, 228-247 (2013). MSC: 74S05 65N30 74A60 74B05 PDFBibTeX XMLCite \textit{T. Lin} et al., J. Comput. Phys. 247, 228--247 (2013; Zbl 1349.74328) Full Text: DOI
Jeon, Youngmok; Sheen, Dongwoo A locking-free locally conservative hybridized scheme for elasticity problems. (English) Zbl 1291.74023 Japan J. Ind. Appl. Math. 30, No. 3, 585-603 (2013). MSC: 74B05 74S05 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{D. Sheen}, Japan J. Ind. Appl. Math. 30, No. 3, 585--603 (2013; Zbl 1291.74023) Full Text: DOI
Okamoto, Hisashi (ed.); Sheen, Dongwoo (ed.); Shi, Zhong-Ci (ed.) Preface to the special issue for the proceedings of the fourth China-Japan-Korea conference on numerical mathematics. (English) Zbl 1298.00333 Japan J. Ind. Appl. Math. 30, No. 3, 483 (2013). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{H. Okamoto} (ed.) et al., Japan J. Ind. Appl. Math. 30, No. 3, 483 (2013; Zbl 1298.00333) Full Text: DOI
Nam, Hyun; Choi, Hyung Jun; Park, Chunjae; Sheen, Dongwoo A cheapest nonconforming rectangular finite element for the stationary Stokes problem. (English) Zbl 1286.76044 Comput. Methods Appl. Mech. Eng. 257, 77-86 (2013). MSC: 76D07 65N30 PDFBibTeX XMLCite \textit{H. Nam} et al., Comput. Methods Appl. Mech. Eng. 257, 77--86 (2013; Zbl 1286.76044) Full Text: DOI
Jeon, Youngmok; Nam, Hyun; Sheen, Dongwoo; Shim, Kwangshin A class of nonparametric DSSY nonconforming quadrilateral elements. (English) Zbl 1287.65109 ESAIM, Math. Model. Numer. Anal. 47, No. 6, 1783-1796 (2013). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 PDFBibTeX XMLCite \textit{Y. Jeon} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 6, 1783--1796 (2013; Zbl 1287.65109) Full Text: DOI arXiv
Settle, Sean O.; Douglas, Craig C.; Kim, Imbunm; Sheen, Dongwoo On the derivation of highest-order compact finite difference schemes for the one- and two-dimensional Poisson equation with Dirichlet boundary conditions. (English) Zbl 1295.65103 SIAM J. Numer. Anal. 51, No. 4, 2470-2490 (2013). Reviewer: Svajunas Sajavicius (Vilnius) MSC: 65N06 35J05 PDFBibTeX XMLCite \textit{S. O. Settle} et al., SIAM J. Numer. Anal. 51, No. 4, 2470--2490 (2013; Zbl 1295.65103) Full Text: DOI
Kim, Imbunm; Luo, Zhongxuan; Meng, Zhaoliang; Nam, Hyun; Park, Chunjae; Sheen, Dongwoo A piecewise \({ P}{_2}\)-nonconforming quadrilateral finite element. (English) Zbl 1270.65067 ESAIM, Math. Model. Numer. Anal. 47, No. 3, 689-715 (2013). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 76M10 35J25 35Q30 76D07 PDFBibTeX XMLCite \textit{I. Kim} et al., ESAIM, Math. Model. Numer. Anal. 47, No. 3, 689--715 (2013; Zbl 1270.65067) Full Text: DOI
Park, Chunjae; Sheen, Dongwoo A quadrilateral Morley element for biharmonic equations. (English) Zbl 1316.74063 Numer. Math. 124, No. 2, 395-413 (2013). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Sheen}, Numer. Math. 124, No. 2, 395--413 (2013; Zbl 1316.74063) Full Text: DOI
Lin, Tao; Sheen, Dongwoo The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. (English) Zbl 1267.65135 Int. J. Numer. Anal. Model. 10, No. 2, 298-313 (2013). MSC: 65M60 35K20 35R05 35A22 44A10 65M20 PDFBibTeX XMLCite \textit{T. Lin} and \textit{D. Sheen}, Int. J. Numer. Anal. Model. 10, No. 2, 298--313 (2013; Zbl 1267.65135)
Lee, Hyoseop; Lee, Jinwoo; Sheen, Dongwoo Laplace transform method for parabolic problems with time-dependent coefficients. (English) Zbl 1264.35010 SIAM J. Numer. Anal. 51, No. 1, 112-125 (2013). MSC: 35A22 44A10 65M60 65R10 58J35 35A35 35K90 PDFBibTeX XMLCite \textit{H. Lee} et al., SIAM J. Numer. Anal. 51, No. 1, 112--125 (2013; Zbl 1264.35010) Full Text: DOI Link
Park, Chunjae; Sheen, Dongwoo; Shin, Byeong-Chun A subspace of the DSSY nonconforming quadrilateral finite element space for the Stokes equations. (English) Zbl 1311.76070 J. Comput. Appl. Math. 239, 220-230 (2013). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{C. Park} et al., J. Comput. Appl. Math. 239, 220--230 (2013; Zbl 1311.76070) Full Text: DOI
Kim, Jiwoon; Sheen, Dongwoo; Shin, Sungwon Option pricing of weather derivatives for Seoul. (English) Zbl 1284.91548 East Asian J. Appl. Math. 2, No. 4, 309-325 (2012). MSC: 91G20 60H15 60J65 PDFBibTeX XMLCite \textit{J. Kim} et al., East Asian J. Appl. Math. 2, No. 4, 309--325 (2012; Zbl 1284.91548) Full Text: DOI
Lee, Hyoseop; Sheen, Dongwoo Numerical approximation of option pricing model under jump diffusion using the Laplace transformation method. (English) Zbl 1267.91081 Int. J. Numer. Anal. Model. 8, No. 4, 566-583 (2011). MSC: 91G60 91G20 44A10 PDFBibTeX XMLCite \textit{H. Lee} and \textit{D. Sheen}, Int. J. Numer. Anal. Model. 8, No. 4, 566--583 (2011; Zbl 1267.91081) Full Text: arXiv Link
Douglas, C.; Kim, I.; Lee, H.; Sheen, D. Higher-order schemes for the Laplace transformation method for parabolic problems. (English) Zbl 1241.65078 Comput. Vis. Sci. 14, No. 1, 39-47 (2011). MSC: 65M20 35A22 35K15 44A10 65Y05 65M12 65M55 PDFBibTeX XMLCite \textit{C. Douglas} et al., Comput. Vis. Sci. 14, No. 1, 39--47 (2011; Zbl 1241.65078) Full Text: DOI
Feng, Xinlong; Kim, Imbunm; Nam, Hyun; Sheen, Dongwoo Locally stabilized \(P_{1}\)-nonconforming quadrilateral and hexahedral finite element methods for the Stokes equations. (English) Zbl 1233.65088 J. Comput. Appl. Math. 236, No. 5, 714-727 (2011). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 76M10 65N12 76D07 35Q30 PDFBibTeX XMLCite \textit{X. Feng} et al., J. Comput. Appl. Math. 236, No. 5, 714--727 (2011; Zbl 1233.65088) Full Text: DOI
Luo, Zhongxuan; Hu, Wenyu; Sheen, Dongwoo The nearest complex polynomial with a zero in a given complex domain. (English) Zbl 1228.68066 Theor. Comput. Sci. 412, No. 50, 7029-7043 (2011). MSC: 68W30 12D10 PDFBibTeX XMLCite \textit{Z. Luo} et al., Theor. Comput. Sci. 412, No. 50, 7029--7043 (2011; Zbl 1228.68066) Full Text: DOI
Aly, Shaban; Kim, Imbunm; Sheen, Dongwoo Turing instability for a ratio-dependent predator-prey model with diffusion. (English) Zbl 1211.92054 Appl. Math. Comput. 217, No. 17, 7265-7281 (2011). MSC: 92D40 35K57 35Q92 35B32 65N99 PDFBibTeX XMLCite \textit{S. Aly} et al., Appl. Math. Comput. 217, No. 17, 7265--7281 (2011; Zbl 1211.92054) Full Text: DOI arXiv
Lee, Hyoseop; Sheen, Dongwoo Laplace transformation method for the Black-Scholes equation. (English) Zbl 1499.91143 Int. J. Numer. Anal. Model. 6, No. 4, 642-658 (2009). MSC: 91G20 44A10 PDFBibTeX XMLCite \textit{H. Lee} and \textit{D. Sheen}, Int. J. Numer. Anal. Model. 6, No. 4, 642--658 (2009; Zbl 1499.91143) Full Text: Link
Lee, Jinwoo; Sheen, Dongwoo F. John’s stability conditions versus A .Carasso’s SECB constraint for backward parabolic problems. (English) Zbl 1169.35391 Inverse Probl. 25, No. 5, Article ID 055001, 12 p. (2009). MSC: 35R30 35B30 35B45 35B35 35C10 PDFBibTeX XMLCite \textit{J. Lee} and \textit{D. Sheen}, Inverse Probl. 25, No. 5, Article ID 055001, 12 p. (2009; Zbl 1169.35391) Full Text: DOI arXiv
Okamoto, Hisashi (ed.); Sheen, Dongwoo (ed.); Shi, Zhong-ci (ed.) Special issue: The first China-Japan-Korea joint conference on numerical mathematics, Sapporo, Japan, August 3–7, 2006. (English) Zbl 1146.65308 Hokkaido Math. J. 36, No. 4, 699-918 (2007). MSC: 65-06 00B25 PDFBibTeX XML
Ha, Taeyoung; Lee, Ki-tak; Sheen, Dongwoo Analysis of conforming and nonconforming quadrilateral finite element methods for the Helmholtz equation. (English) Zbl 1139.65074 Hokkaido Math. J. 36, No. 4, 891-918 (2007). MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{T. Ha} et al., Hokkaido Math. J. 36, No. 4, 891--918 (2007; Zbl 1139.65074) Full Text: DOI
Santos, Juan E.; Sheen, Dongwoo Finite element methods for the simulation of waves in composite saturated poroviscoelastic media. (English) Zbl 1220.74019 SIAM J. Numer. Anal. 45, No. 1, 389-420 (2007). MSC: 74F10 65N30 74H15 74S05 86-08 PDFBibTeX XMLCite \textit{J. E. Santos} and \textit{D. Sheen}, SIAM J. Numer. Anal. 45, No. 1, 389--420 (2007; Zbl 1220.74019) Full Text: DOI Link
Ha, Taeyoung; Seo, Sangwon; Sheen, Dongwoo Parallel iterative procedures for a computational electromagnetic modeling based on a nonconforming mixed finite element method. (English) Zbl 1232.78010 CMES, Comput. Model. Eng. Sci. 14, No. 1, 57-76 (2006). MSC: 78M10 78A25 65M60 PDFBibTeX XMLCite \textit{T. Ha} et al., CMES, Comput. Model. Eng. Sci. 14, No. 1, 57--76 (2006; Zbl 1232.78010) Full Text: DOI
Lee, Jinwoo; Sheen, Dongwoo A parallel method for backward parabolic problems based on the Laplace transformation. (English) Zbl 1125.65088 SIAM J. Numer. Anal. 44, No. 4, 1466-1486 (2006). Reviewer: Srinivasan Natesan (Assam) MSC: 65M30 35R25 35K15 65M15 PDFBibTeX XMLCite \textit{J. Lee} and \textit{D. Sheen}, SIAM J. Numer. Anal. 44, No. 4, 1466--1486 (2006; Zbl 1125.65088) Full Text: DOI
Lee, Heejeong; Sheen, Dongwoo A new quadratic nonconforming finite element on rectangles. (English) Zbl 1097.74059 Numer. Methods Partial Differ. Equations 22, No. 4, 954-970 (2006). MSC: 74S05 65N30 65N15 PDFBibTeX XMLCite \textit{H. Lee} and \textit{D. Sheen}, Numer. Methods Partial Differ. Equations 22, No. 4, 954--970 (2006; Zbl 1097.74059) Full Text: DOI
Lee, Heejeong; Sheen, Dongwoo Basis for the quadratic nonconforming triangular element of Fortin and Soulie. (English) Zbl 1104.65113 Int. J. Numer. Anal. Model. 2, No. 4, 409-421 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35J05 PDFBibTeX XMLCite \textit{H. Lee} and \textit{D. Sheen}, Int. J. Numer. Anal. Model. 2, No. 4, 409--421 (2005; Zbl 1104.65113)
Jang, Gang-Won; Lee, Sangkeun; Kim, Yoon Young; Sheen, Dongwoo Topology optimization using non-conforming finite elements: three-dimensional case. (English) Zbl 1084.74039 Int. J. Numer. Methods Eng. 63, No. 6, 859-875 (2005). MSC: 74P15 74S05 PDFBibTeX XMLCite \textit{G.-W. Jang} et al., Int. J. Numer. Methods Eng. 63, No. 6, 859--875 (2005; Zbl 1084.74039) Full Text: DOI
Jeon, Youngmok; Park, Eun-Jae; Sheen, Dongwoo A cell boundary element method for elliptic problems. (English) Zbl 1072.65158 Numer. Methods Partial Differ. Equations 21, No. 3, 496-511 (2005). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N38 35J25 65N15 PDFBibTeX XMLCite \textit{Y. Jeon} et al., Numer. Methods Partial Differ. Equations 21, No. 3, 496--511 (2005; Zbl 1072.65158) Full Text: DOI
Jeon, Youngmok; Sheen, Dongwoo Analysis of a cell boundary element method. (English) Zbl 1067.65138 Adv. Comput. Math. 22, No. 3, 201-222 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65N38 65N50 65N12 35J25 PDFBibTeX XMLCite \textit{Y. Jeon} and \textit{D. Sheen}, Adv. Comput. Math. 22, No. 3, 201--222 (2005; Zbl 1067.65138) Full Text: DOI
Lee, Jinwoo; Sheen, Dongwoo An accurate numerical inversionof Laplace transforms based on the location of their poles. (English) Zbl 1069.65143 Comput. Math. Appl. 48, No. 10-11, 1415-1423 (2004). MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{J. Lee} and \textit{D. Sheen}, Comput. Math. Appl. 48, No. 10--11, 1415--1423 (2004; Zbl 1069.65143) Full Text: DOI
Sheen, Dongwoo; Seo, Sangwon; Cho, Jinwoo A level set approach to optimal homogenized coefficients. (English) Zbl 1058.74069 CMES, Comput. Model. Eng. Sci. 4, No. 1, 21-30 (2003). MSC: 74Q05 74S05 74P10 PDFBibTeX XMLCite \textit{D. Sheen} et al., CMES, Comput. Model. Eng. Sci. 4, No. 1, 21--30 (2003; Zbl 1058.74069)
Jang, Gang-Won; Jeong, Je Hyun; Kim, Yoon Young; Sheen, Dongwoo; Park, Chunjae; Kim, Myoung-Nyoun Checkerboard-free topology optimization using non-conforming finite elements. (English) Zbl 1062.74590 Int. J. Numer. Methods Eng. 57, No. 12, 1717-1735 (2003). MSC: 74P15 74S05 PDFBibTeX XMLCite \textit{G.-W. Jang} et al., Int. J. Numer. Methods Eng. 57, No. 12, 1717--1735 (2003; Zbl 1062.74590) Full Text: DOI
Kwon, Kiwoon; Sheen, Dongwoo A parallel method for the numerical solution of integro-differential equation with positive memory. (English) Zbl 1042.65109 Comput. Methods Appl. Mech. Eng. 192, No. 41-42, 4641-4658 (2003). Reviewer: Søren Christiansen (Lyngby) MSC: 65R20 65Y05 45K05 44A10 PDFBibTeX XMLCite \textit{K. Kwon} and \textit{D. Sheen}, Comput. Methods Appl. Mech. Eng. 192, No. 41--42, 4641--4658 (2003; Zbl 1042.65109) Full Text: DOI
Park, Chunjae; Sheen, Dongwoo \(P_1\)-nonconforming quadrilateral finite element methods for second-order elliptic problems. (English) Zbl 1048.65114 SIAM J. Numer. Anal. 41, No. 2, 624-640 (2003). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N12 35J25 65N15 PDFBibTeX XMLCite \textit{C. Park} and \textit{D. Sheen}, SIAM J. Numer. Anal. 41, No. 2, 624--640 (2003; Zbl 1048.65114) Full Text: DOI
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar A parallel method for time discretization of parabolic equations based on Laplace transformation and quadrature. (English) Zbl 1022.65108 IMA J. Numer. Anal. 23, No. 2, 269-299 (2003). Reviewer: Emil Minchev (Chiba) MSC: 65M20 35A22 44A10 65Y05 35K50 PDFBibTeX XMLCite \textit{D. Sheen} et al., IMA J. Numer. Anal. 23, No. 2, 269--299 (2003; Zbl 1022.65108) Full Text: DOI Link
Lee, Chang-Ock; Lee, Jongwoo; Sheen, Dongwoo A locking-free nonconforming finite element method for planar linear elasticity. (English) Zbl 1064.74165 Adv. Comput. Math. 19, No. 1-3, 277-291 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 74S05 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{C.-O. Lee} et al., Adv. Comput. Math. 19, No. 1--3, 277--291 (2003; Zbl 1064.74165) Full Text: DOI
Ha, Taeyoung; Santos, Juan E.; Sheen, Dongwoo Nonconforming finite element methods for the simulation of waves in viscoelastic solids. (English) Zbl 1083.74586 Comput. Methods Appl. Mech. Eng. 191, No. 49-50, 5647-5670 (2002). MSC: 74S05 74J10 74D05 PDFBibTeX XMLCite \textit{T. Ha} et al., Comput. Methods Appl. Mech. Eng. 191, No. 49--50, 5647--5670 (2002; Zbl 1083.74586) Full Text: DOI
Lee, Chang-Ock; Lee, Jongwoo; Sheen, Dongwoo A frequency-domain method for finite element solutions of parabolic problems. (English) Zbl 1062.65106 Bull. Korean Math. Soc. 39, No. 4, 589-606 (2002). MSC: 65M60 65M15 35K15 65M12 65Y05 PDFBibTeX XMLCite \textit{C.-O. Lee} et al., Bull. Korean Math. Soc. 39, No. 4, 589--606 (2002; Zbl 1062.65106) Full Text: DOI
Buffa, A.; Costabel, M.; Sheen, D. On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains. (English) Zbl 1106.35304 J. Math. Anal. Appl. 276, No. 2, 845-867 (2002). MSC: 35F05 35Q30 35Q60 PDFBibTeX XMLCite \textit{A. Buffa} et al., J. Math. Anal. Appl. 276, No. 2, 845--867 (2002; Zbl 1106.35304) Full Text: DOI
Kwon, Kiwoon; Sheen, Dongwoo Anisotropic inverse conductivity and scattering problems. (English) Zbl 1002.35125 Inverse Probl. 18, No. 3, 745-756 (2002). MSC: 35R30 35J05 35R05 PDFBibTeX XMLCite \textit{K. Kwon} and \textit{D. Sheen}, Inverse Probl. 18, No. 3, 745--756 (2002; Zbl 1002.35125) Full Text: DOI Link
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo Nonconforming Galerkin methods for the Helmholtz equation. (English) Zbl 1018.65125 Numer. Methods Partial Differ. Equations 17, No. 5, 475-494 (2001). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65N30 35J05 65N12 65N15 65F10 65N55 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Numer. Methods Partial Differ. Equations 17, No. 5, 475--494 (2001; Zbl 1018.65125) Full Text: DOI Link
Sheen, Dongwoo; Sohn, Wonkyu A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions. (English) Zbl 0980.35086 Appl. Math. Lett. 14, No. 5, 531-537 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35L20 35L05 65M70 PDFBibTeX XMLCite \textit{D. Sheen} and \textit{W. Sohn}, Appl. Math. Lett. 14, No. 5, 531--537 (2001; Zbl 0980.35086) Full Text: DOI
Cai, Z.; Douglas, J. jun.; Santos, J. E.; Sheen, D.; Ye, X. Nonconforming quadrilateral finite elements: a correction. (English) Zbl 1012.65124 Calcolo 37, No. 4, 253-254 (2000). Reviewer: G.Schmidt (Berlin) MSC: 65N30 65N15 35J25 76M10 PDFBibTeX XMLCite \textit{Z. Cai} et al., Calcolo 37, No. 4, 253--254 (2000; Zbl 1012.65124) Full Text: DOI
Santos, Juan E.; Sheen, Dongwoo On the existence and uniqueness of solutions to Maxwell’s equations in bounded domains with application to magnetotellurics. (English) Zbl 1034.35138 Math. Models Methods Appl. Sci. 10, No. 4, 615-628 (2000). MSC: 35Q60 86A15 PDFBibTeX XMLCite \textit{J. E. Santos} and \textit{D. Sheen}, Math. Models Methods Appl. Sci. 10, No. 4, 615--628 (2000; Zbl 1034.35138) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo A nonconforming mixed finite element method for Maxwell’s equations. (English) Zbl 1010.78013 Math. Models Methods Appl. Sci. 10, No. 4, 593-613 (2000). MSC: 78M10 65M60 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Math. Models Methods Appl. Sci. 10, No. 4, 593--613 (2000; Zbl 1010.78013) Full Text: DOI
Sheen, Dongwoo Parallel methods for solving time-dependent problems using the Fourier-Laplace transformation. (English) Zbl 1011.65074 Chen, Zhangxin (ed.) et al., Numerical treatment of multiphase flows in porous media. Proceedings of the international workshop, Beijing, China, August 2-6, 1999. Berlin: Springer. Lect. Notes Phys. 552, 283-291 (2000). MSC: 65M70 35L15 35K15 65Y05 35A22 PDFBibTeX XMLCite \textit{D. Sheen}, Lect. Notes Phys. 552, 283--291 (2000; Zbl 1011.65074)
Sheen, Dongwoo; Shepelsky, Dmitry Uniqueness in a frequency-domain inverse problem of a stratified uniaxial bianisotropic medium. (English) Zbl 1074.78525 Wave Motion 31, No. 4, 371-385 (2000). MSC: 78A46 PDFBibTeX XMLCite \textit{D. Sheen} and \textit{D. Shepelsky}, Wave Motion 31, No. 4, 371--385 (2000; Zbl 1074.78525) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo A nonconforming mixed method for the time-harmonic Maxwell equations. (English) Zbl 1006.78016 Bermúdez, Alfredo (ed.) et al., Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10-14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. 792-796 (2000). MSC: 78M10 65M70 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., in: Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10--14, 2000. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics; Rocquencourt: INRIA, Institut National de Recherche en Informatique et en Automatique. 792--796 (2000; Zbl 1006.78016)
Jones, W. P.; Sheen, D.-H. A probability density function method for modelling liquid fuel sprays. (English) Zbl 0968.76070 Flow Turbul. Combust. 63, No. 1-4, 379-394 (2000). MSC: 76M35 76F55 80A25 76V05 PDFBibTeX XMLCite \textit{W. P. Jones} and \textit{D. H. Sheen}, Flow Turbul. Combust. 63, No. 1--4, 379--394 (2000; Zbl 0968.76070) Full Text: DOI
Lee, Chang-Ock; Lee, Jongwoo; Sheen, Dongwoo Frequency domain formulation of linearized Navier-Stokes equations. (English) Zbl 0952.76065 Comput. Methods Appl. Mech. Eng. 187, No. 1-2, 351-362 (2000). MSC: 76M22 76M10 76D05 PDFBibTeX XMLCite \textit{C.-O. Lee} et al., Comput. Methods Appl. Mech. Eng. 187, No. 1--2, 351--362 (2000; Zbl 0952.76065) Full Text: DOI
Kim, Myoung-Nyoun; Sheen, Dongwoo A mixed boundary value problem for TFT/LCD: Analysis and numerical methods. (English) Zbl 0951.35114 Comput. Math. Appl. 39, No. 3-4, 107-123 (2000). MSC: 35Q35 76A15 76M20 35M10 PDFBibTeX XMLCite \textit{M.-N. Kim} and \textit{D. Sheen}, Comput. Math. Appl. 39, No. 3--4, 107--123 (2000; Zbl 0951.35114) Full Text: DOI
Ki, Hosam; Sheen, Dongwoo Numerical inversion of discontinuous conductivities. (English) Zbl 0968.35128 Inverse Probl. 16, No. 1, 33-47 (2000). MSC: 35R30 78A46 44A12 65R20 78M25 45Q05 PDFBibTeX XMLCite \textit{H. Ki} and \textit{D. Sheen}, Inverse Probl. 16, No. 1, 33--47 (2000; Zbl 0968.35128) Full Text: DOI
Sheen, Dongwoo; Sloan, Ian H.; Thomée, Vidar A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature. (English) Zbl 0936.65109 Math. Comput. 69, No. 229, 177-195 (2000). Reviewer: E.Emmrich (Berlin) MSC: 65M12 65J10 34G10 35K15 65M15 65M06 65M60 PDFBibTeX XMLCite \textit{D. Sheen} et al., Math. Comput. 69, No. 229, 177--195 (2000; Zbl 0936.65109) Full Text: DOI
Lee, Chang-Ock; Lee, Jongwoo; Sheen, Dongwoo; Yeom, Yongjin A frequency-domain parallel method for the numerical approximation of parabolic problems. (English) Zbl 0946.65094 Comput. Methods Appl. Mech. Eng. 169, No. 1-2, 19-29 (1999). Reviewer: W.Schönauer (Karlsruhe) MSC: 65M70 65Y05 65M15 35K15 PDFBibTeX XMLCite \textit{C.-O. Lee} et al., Comput. Methods Appl. Mech. Eng. 169, No. 1--2, 19--29 (1999; Zbl 0946.65094) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Ye, Xiu Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems. (English) Zbl 0941.65115 M2AN, Math. Model. Numer. Anal. 33, No. 4, 747-770 (1999). Reviewer: P.Burda (Praha) MSC: 65N30 65N55 35J25 65F10 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., M2AN, Math. Model. Numer. Anal. 33, No. 4, 747--770 (1999; Zbl 0941.65115) Full Text: DOI EuDML Link
Young, D. L.; Liao, C. B.; Sheen, H. J. Computations of recirculation zones of a confined annular swirling flow. (English) Zbl 0951.76067 Int. J. Numer. Methods Fluids 29, No. 7, 791-810 (1999). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{D. L. Young} et al., Int. J. Numer. Methods Fluids 29, No. 7, 791--810 (1999; Zbl 0951.76067) Full Text: DOI
Sheen, Dongwoo; Shepelsky, Dmitry Inverse scattering problem for a stratified anisotropic slab. (English) Zbl 0926.35163 Inverse Probl. 15, No. 2, 499-514 (1999). MSC: 35R30 35Q60 78A45 PDFBibTeX XMLCite \textit{D. Sheen} and \textit{D. Shepelsky}, Inverse Probl. 15, No. 2, 499--514 (1999; Zbl 0926.35163) Full Text: DOI
Sheen, Dongwoo; Shepelsky, Dmitry Inverse scattering problem for stratified uniaxial bianisotropic medium. (English) Zbl 0957.78012 DeSanto, John A. (ed.), Mathematical and numerical aspects of wave propagation. Proceedings of the 4th international conference held at Mines in Golden, CO, USA, June 1-5, 1998. Philadelphia, PA: SIAM. Proc. Appl. Math. 517-519 (1998). MSC: 78A46 78A45 PDFBibTeX XMLCite \textit{D. Sheen} and \textit{D. Shepelsky}, Proc. Appl. Math. 517--519, 517--519 (1998; Zbl 0957.78012)
Santos, Juan E.; Sheen, Dongwoo Global and parallelizable domain-decomposed mixed F. E. M. for 3D electromagnetic modelling. (English) Zbl 0918.65084 Comput. Appl. Math. 17, No. 3, 265-282 (1998). Reviewer: V.Burjan (Praha) MSC: 65Z05 65N30 65N55 65Y05 35Q60 86A25 78A25 PDFBibTeX XMLCite \textit{J. E. Santos} and \textit{D. Sheen}, Comput. Appl. Math. 17, No. 3, 265--282 (1998; Zbl 0918.65084)
Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo Numerical identification of discontinuous conductivity coefficients. (English) Zbl 0934.35204 Inverse Probl. 13, No. 1, 113-123 (1997). Reviewer: B.D.Sleeman (Leeds) MSC: 35R30 35J05 35R05 65N21 PDFBibTeX XMLCite \textit{H. Kang} et al., Inverse Probl. 13, No. 1, 113--123 (1997; Zbl 0934.35204) Full Text: DOI
Kang, Hyeonbae; Seo, Jin Keun; Sheen, Dongwoo The inverse conductivity problem with one measurement: stability and estimation of size. (English) Zbl 0888.35131 SIAM J. Math. Anal. 28, No. 6, 1389-1405 (1997). MSC: 35R30 35J25 31A25 PDFBibTeX XMLCite \textit{H. Kang} et al., SIAM J. Math. Anal. 28, No. 6, 1389--1405 (1997; Zbl 0888.35131) Full Text: DOI
Sheen, Dongwoo Approximation of electromagnetic fields: I. Continuous problems. (English) Zbl 0888.35111 SIAM J. Appl. Math. 57, No. 6, 1716-1736 (1997). MSC: 35Q60 78A25 78M99 PDFBibTeX XMLCite \textit{D. Sheen}, SIAM J. Appl. Math. 57, No. 6, 1716--1736 (1997; Zbl 0888.35111) Full Text: DOI
Kim, Jinsoo; Sheen, Dongwoo Regularity of solutions to Helmholtz-type problems with absorbing boundary conditions in nonsmooth domains. (English) Zbl 0890.35018 Bull. Korean Math. Soc. 34, No. 1, 135-146 (1997). Reviewer: M.Merigot (Nice) MSC: 35B65 35J05 PDFBibTeX XMLCite \textit{J. Kim} and \textit{D. Sheen}, Bull. Korean Math. Soc. 34, No. 1, 135--146 (1997; Zbl 0890.35018)
Kim, Dongryeol; Kim, Jinsoo; Sheen, Dongwoo Absorbing boundary conditions for wave propagation in viscoelastic media. (English) Zbl 0864.73020 J. Comput. Appl. Math. 76, No. 1-2, 301-314 (1996). MSC: 74J10 74Hxx PDFBibTeX XMLCite \textit{D. Kim} et al., J. Comput. Appl. Math. 76, No. 1--2, 301--314 (1996; Zbl 0864.73020) Full Text: DOI
Fernandez-Berdaguer, Elena M.; Santos, Juan E.; Sheen, Dongwoo An iterative procedure for estimation of variable coefficients in a hyperbolic system. (English) Zbl 0849.65072 Appl. Math. Comput. 76, No. 2-3, 213-250 (1996). Reviewer: P.Y.Yalamov (Russe) MSC: 65M30 35R30 35L05 65M12 PDFBibTeX XMLCite \textit{E. M. Fernandez-Berdaguer} et al., Appl. Math. Comput. 76, No. 2--3, 213--250 (1996; Zbl 0849.65072) Full Text: DOI
Sheen, Dongwoo Approximation of electromagnetic fields. I: Continuous problems. (English) Zbl 0873.35098 Chae, Dongho (ed.), Proceedings of a miniconference of partial differential equations and applications, Seoul, Korea, June 9–10, 1995. Seoul: Seoul National University, Lect. Notes Ser., Seoul. 38, 201-222 (1996). MSC: 35Q60 78A25 PDFBibTeX XMLCite \textit{D. Sheen}, in: Proceedings a of miniconference of partial differential equations and applications, Seoul, Korea, June 9--10, 1995. Seoul: Seoul National University. 201--222 (1996; Zbl 0873.35098)
Douglas, Jim jun.; Sheen, Dongwoo; Santos, Juan E. Approximation of scalar waves in the space-frequency domain. (English) Zbl 0812.35173 Math. Models Methods Appl. Sci. 4, No. 4, 509-531 (1994). MSC: 35S10 65N30 35L05 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Math. Models Methods Appl. Sci. 4, No. 4, 509--531 (1994; Zbl 0812.35173) Full Text: DOI
Feng, Xiaobing; Sheen, Dongwoo An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves. (English) Zbl 0811.35021 Trans. Am. Math. Soc. 346, No. 2, 475-487 (1994). MSC: 35J05 35J25 65N99 35L20 PDFBibTeX XMLCite \textit{X. Feng} and \textit{D. Sheen}, Trans. Am. Math. Soc. 346, No. 2, 475--487 (1994; Zbl 0811.35021) Full Text: DOI
Sheen, Dongwoo Second-order absorbing boundary conditions for the wave equation in a rectangular domain. (English) Zbl 0790.65087 Math. Comput. 61, No. 204, 595-606 (1993). Reviewer: L.G.Vulkov (Russe) MSC: 65M60 65M15 35L05 35L45 PDFBibTeX XMLCite \textit{D. Sheen}, Math. Comput. 61, No. 204, 595--606 (1993; Zbl 0790.65087) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo; Bennethum, Lynn Schreyer Frequency domain treatment of one-dimensional scalar waves. (English) Zbl 0783.65070 Math. Models Methods Appl. Sci. 3, No. 2, 171-194 (1993). Reviewer: G.Steidl (Darmstadt) MSC: 65M60 65M06 65Y05 35L05 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Math. Models Methods Appl. Sci. 3, No. 2, 171--194 (1993; Zbl 0783.65070) Full Text: DOI
Sheen, Dongwoo Finite element methods for an acoustic well-logging problem associated with a porous medium saturated by a two-phase immiscible fluid. (English) Zbl 0765.76054 Numer. Methods Partial Differ. Equations 9, No. 2, 155-174 (1993). MSC: 76M10 76Q05 76S05 76T99 PDFBibTeX XMLCite \textit{D. Sheen}, Numer. Methods Partial Differ. Equations 9, No. 2, 155--174 (1993; Zbl 0765.76054) Full Text: DOI
Sheen, Dongwoo A generalized Green’s theorem. (English) Zbl 0764.31002 Appl. Math. Lett. 5, No. 4, 95-98 (1992). Reviewer: S.K.Rangarajan (Bangalore) MSC: 31B10 26B20 PDFBibTeX XMLCite \textit{D. Sheen}, Appl. Math. Lett. 5, No. 4, 95--98 (1992; Zbl 0764.31002) Full Text: DOI