Axelsson, O.; Barker, V. A. Finite element solution of boundary value problems. Theory and computation. Repr. (English) Zbl 0981.65130 Classics in Applied Mathematics. 35. Philadelphia, PA: SIAM. xxiii, 432 p. (2001). See the review of the original edition (1984; Zbl 0537.65072). Cited in 43 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis 65N15 Error bounds for boundary value problems involving PDEs 65F05 Direct numerical methods for linear systems and matrix inversion 65F10 Iterative numerical methods for linear systems 35J25 Boundary value problems for second-order elliptic equations 35-04 Software, source code, etc. for problems pertaining to partial differential equations Keywords:finite element method; minimization methods; steepest descent; conjugate gradient; preconditioning; Euler-Lagrange equation; field equation; Sobolev spaces; Lax-Milgram theorem; distributions; Ritz method; error estimates; Galerkin method; noncoercive problems; isoparametric basis functions; Gaussian elimination; Cholesky method; data errors; rounding errors; symmetric successive overrelaxation method; incomplete factorization methods; comparison; multigrid methods; exercises; computer codes Citations:Zbl 0537.65072 PDFBibTeX XMLCite \textit{O. Axelsson} and \textit{V. A. Barker}, Finite element solution of boundary value problems. Theory and computation. Repr. Philadelphia, PA: SIAM (2001; Zbl 0981.65130) Full Text: DOI