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Higher-order finite element methods. With CD-ROM. (English) Zbl 1032.65132
Studies in Advanced Mathematics. Boca Raton, FL: CRC Press. xxi, 382 p. $ 89.95; £59.99 (2004).
This book gives a very thorough explanation of how to construct an \(hp\)-finite-element computer program. If the original problem has constraints on the curl or divergence of the solution, the book also explains how to choose finite elements consistent with these constraints. The chapter on the linear algebra needed for finite-element programs is brief but up to date. The book closes with a detailed discussion of automatic mesh refinement. The compact disk supplied with the book contains tables of integration points and weights for several quadrature methods.

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
65Y15 Packaged methods for numerical algorithms
35-04 Software, source code, etc. for problems pertaining to partial differential equations
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
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