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Exact finite-difference schemes

✍ Scribed by Walter de Gruyter und Co.; Lemeševskij, Sergej Vladimirovič; Matus, Petr Pavlovič; Polâkov, Dmitrij Borisovič

Publisher
Walter de Gruyter
Year
2016
Tongue
English
Leaves
248
Category
Library
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✦ Synopsis

All relevant implementation aspects of finite element methods are discussed in this book. The focus is on algorithms and data structures as well as on their concrete implementation. Theory is covered only as far as it gives insight into the construction of algorithms. In the exercises, a complete FE-solver for stationary 2D problems is implemented in Matlab/Octave. Contents: Finite Element FundamentalsGrids and Finite ElementsAssemblySolversError EstimationMesh RefinementMultigridElastomechanicsFluid MechanicsGrid Data StructureFunction Reference

✦ Table of Contents

Preface......Page 5
Contents......Page 9
Basic notation......Page 13
Preliminary results......Page 15
Hyperbolic equations......Page 21
Parabolic equations......Page 109
Use of exact difference schemes to construct NSFD discretizations of differential equations......Page 158
Exact and truncated difference schemes for boundary-value problem......Page 179
Exact difference schemes for stochastic differential equations......Page 218
Numerical blow-up time......Page 234
List of contributors......Page 247

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