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Higher-order finite element methods

Author: Pavel Šolín; Karel Segeth; Ivo Doležel
Publisher: Boca Raton, FL : Chapman & Hall/CRC, ©2004.
Series: Studies in advanced mathematics
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Online-Publikation
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Pavel Šolín; Karel Segeth; Ivo Doležel
ISBN: 0203488040 9780203488041
OCLC Number: 645595871
Description: 1 online resource (xx, 382 p.) : ill.
Contents: INTRODUCTION Finite Elements Orthogonal Polynomials A One-Dimensional Example HIERARCHIC MASTER ELEMENTS OF ARBITRARY ORDER De Rham Diagram H^1-Conforming Approximations H(curl)-Conforming Approximations H(div)-Conforming Approximations L^2-Conforming Approximations HIGHER-ORDER FINITE ELEMENT DISCRETIZATION Projection-Based Interpolation on Reference Domains Transfinite Interpolation Revisited Construction of Reference Maps Projection-Based Interpolation on Physical Mesh Elements Technology of Discretization in Two and Three Dimensions Constrained Approximation Selected Software-Technical Aspects HIGHER-ORDER NUMERICAL QUADRATURE One-Dimensional Reference Domain K(a) Reference Quadrilateral K(q) Reference Triangle K(t) Reference Brick K(B) Reference Tetrahedron K(T) Reference Prism K(P) NUMERICAL SOLUTION OF FINITE ELEMENT EQUATIONS Direct Methods for Linear Algebraic Equations Iterative Methods for Linear Algebraic Equations Choice of the Method Solving Initial Value Problems for ordinary Differential Equations MESH OPTIMIZATION, REFERENCE SOLUTIONS, AND hp-ADAPTIVITY Automatic Mesh Optimization in One Dimension Adaptive Strategies Based on Automatic Mesh Optimization Goal-Oriented Adaptivity Automatic Goal-Oriented h-, p-, and hp-Adaptivity Automatic Goal-Oriented hp-Adaptivity in Two Dimensions
Series Title: Studies in advanced mathematics
Responsibility: Pavel S̆olin, Karel Segeth, Ivo Dolez̆el.

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