Superconvergence in Galerkin finite element methods / Lars B. Wahlbin
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1605Langue : anglais.Éditeur : Berlin : Springer, 1995ISBN: 9783540600114.ISSN: 1617-9692.Sujet MSC : 65N30, Numerical methods for PDEs, boundary value problems, Finite element, Rayleigh-Ritz and Galerkin methods65N12, Numerical methods for PDEs, boundary value problems, Stability and convergence of numerical methods
65N15, Numerical methods for PDEs, boundary value problems, Error bounds
35J25, PDEs - Elliptic equations and elliptic systems, Boundary value problems for second-order elliptic equations
35J65, PDEs - Elliptic equations and elliptic systems, Nonlinear boundary value problems for linear elliptic equationsEn-ligne : Springerlink | Zentralblatt | MathSciNet
This book discusses superconvergence of Galerkin finite element methods applied to second-order elliptic problems with sufficiently smooth solutions. The results are sensitive to the choice of elements and test functions, and this book elaborates on their aspect of the problem in depth. The book includes an interesting brief chapter on nonlinear problems. It also discusses superconvergence of approximations to derivatives of the solution function.
The book originates from seminar notes, and is written in an informal and quite readable style. Numerous references to the extensive literature in this area are included. (Zentralblatt)
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