×

Finite element methods for nonlinear elliptic systems of second order. (English) Zbl 0444.65077


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J65 Nonlinear boundary value problems for linear elliptic equations
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] : The finite element method for elliptic problems. Amsterdam: North-Holland 1978.
[2] Dobrowolski, R.A.I.R.O. Sér. Rouge Anal. Numér. 12 (1978)
[3] : Optimal uniform convergence for linear finite element approximations to nonlinear parabolic problems (to appear).
[4] Douglas, Math. Comp. 29 pp 689– (1975)
[5] : Eine gleichmäßige asymptotische Fehlerabschätzung zur Methode der finiten Elemente bei quasilinearen Randwertproblemen. In: Theory of Nonlinear Operators. Constructive Aspects. Tagungsband der Akademie der Wissenschaften, Berlin (DDR) 1976.
[6] Frehse, Z. Angew. Math. Mech. 57 pp 229– (1977)
[7] Frehse, Tagungsband, Bonn. Math. Schr. 89 pp 92– (1976)
[8] ; : Optimal uniform convergence for the finite element approximation of a quasilinear elliptic boundary value problem. In: Proc. U.S.-Germany Symposium on Formulation and Computational Algorithms in Finite Element Analysis. M.I.T. 1976.
[9] Frehse, SIAM J. Numer. Anal. 15 pp 418– (1978)
[10] Johnson, Math. Comp. 29 pp 343– (1975)
[11] Mittelmann, SIAM J. Numer. Anal. 14 pp 773– (1977)
[12] : L-convergence of finite element approximation. Second Conference on Finite Elements, Rennes, France 1975.
[13] : On L-convergence of finite element approximations to the solution of a nonlinear boundary value problem. In: Proc. Conf. Numerical Analysis, Dublin 1976.
[14] : Finite element approximations for solving the elasticity problem. In: Computing Methods in Applied Sciences and Engineering ( and , Ed.), pp. 154–166, Springer: Heidelberg 1976. · doi:10.1007/978-3-642-85972-4_9
[15] Rannacher, Math. Z. 149 pp 69– (1976)
[16] Rannacher, R.A.I.R.O. Sér. Rouge Anal. Numér. 11 pp 181– (1977)
[17] : On finite element approximation of general boundary value problems in nonlinear elasticity (to appear).
[18] Scott, Math. Comp. 30 pp 681– (1976)
[19] Schultz, SIAM J. Numer. Anal. 8 pp 737– (1971)
[20] Solonnikov, Proc. Steklov Inst. Math. 116 pp 187– (1971)
[21] Zlamal, SIAM J. Numer. Anal.: I. 10 pp 229– (1973)
[22] SIAM J. Numer. Anal.: Ii. 11 pp 347– (1974)
[23] Louis, Z. Angew. Math. Mech. 57 pp 290– (1977)
[24] : Abschätzungen für diskrete Grundlösungen in der Methode der finiten Elemente, Preprint, Universität Bonn 1979.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.