Babuška, Ivo; Rheinboldt, W. C. A-posteriori error estimates for the finite element method. (English) Zbl 0396.65068 Int. J. Numer. Methods Eng. 12, 1597-1615 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 399 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65N15 Error bounds for boundary value problems involving PDEs 65N25 Numerical methods for eigenvalue problems for boundary value problems involving PDEs 74S05 Finite element methods applied to problems in solid mechanics 65L10 Numerical solution of boundary value problems involving ordinary differential equations 35K20 Initial-boundary value problems for second-order parabolic equations Keywords:Partial Differential Equations; Computable A-Posteriori Error Estimates; Eigenvalue Problems; Finite Element Solutions; Parabolic Problems; Source Problems PDFBibTeX XMLCite \textit{I. Babuška} and \textit{W. C. Rheinboldt}, Int. J. Numer. Methods Eng. 12, 1597--1615 (1978; Zbl 0396.65068) Full Text: DOI References: [1] Hull, SIAM J. Num. Anal. 9 pp 603– (1972) [2] Shampine, SIAM Rev. 18 pp 376– (1976) [3] Krogh, J. ACM 4 pp 545– (1973) [4] and , ’Computational aspects of finite element analysis’, in Mathematical Software–III (Ed. ), Academic Press, New York, 1973, pp. 223-253. [5] and , ’Error estimates for adaptive finite element computations’, University of Maryland, Institute for Physical Science and Technology, Technical Note BN-854 (1977); [6] SIAM J. Num. Anal. 15 (1978) [7] and , Theoretical and Computational Analysis of the Finite Element Method, in preparation. [8] and , ’Analysis of optimal finite element meshes in R1’, University of Maryland, Institute for Physical Science and Technology, Technical Note BN-869 (1977). [9] and , ’Survey lectures on the mathematical foundations of the finite element method’, in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (Ed. ), Academic Press, New York, 1972. [10] Sobolev Spaces, Academic Press, New York, 1975. · Zbl 0314.46030 [11] and (Ed.), Modern Numerical Methods for Ordinary Differential Equations, Clarendon Press, Oxford, 1976. · Zbl 0348.65064 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.