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Inside Finite Elements.
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 as far as it gives insight into the construction of algorithms. Throughout the exercises a complete...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin/Boston :
De Gruyter,
2016.
|
| Colección: | De Gruyter textbook.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Weiser, Martin. | |
| 245 | 1 | 0 | |a Inside Finite Elements. |
| 260 | |a Berlin/Boston : |b De Gruyter, |c 2016. | ||
| 300 | |a 1 online resource (158 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 505 | 0 | |a Preface ; 1. Finite Element Fundamentals ; 1.1 Stationary Heat Equation ; 1.2 Boundary Conditions ; 1.3 Weak Formulation ; 1.4 Galerkin Discretization ; 1.5 Finite Elements ; Exercises ; 2. Grids and Finite Elements ; 2.1 Cells and Vertices. | |
| 505 | 8 | |a 2.2 Shape and Ansatz Functions 2.3 Grid Generation and Visualization ; 2.3.1 Preprocessing ; 2.3.2 Postprocessing ; 2.4 Edges and Boundaries ; Exercises ; 3. Assembly ; 3.1 System Matrices ; 3.1.1 Elemental Stiffness Matrices ; 3.1.2 Scattering ; 3.1.3 Elemental Mass Matrices. | |
| 505 | 8 | |a 3.2 Boundary Conditions 3.2.1 Robin Boundary Conditions ; 3.2.2 Dirichlet Boundary Conditions ; 3.3 Right Hand Sides ; 3.4 Examples ; 3.5 Sparse Matrix Storage Formats ; 3.5.1 Triplet Format ; 3.5.2 Compressed Row Storage ; 3.5.3 Computational Efficiency ; Exercises ; 4. Solvers. | |
| 505 | 8 | |a 4.1 Direct Solvers 4.2 Iterative Solvers ; 4.2.1 Stationary Iterations ; 4.2.2 Gradient Descent ; 4.2.3 Conjugate Gradient Method ; 4.3 Examples ; Exercises ; 5. Error Estimation ; 5.1 Hierarchical Error Estimation ; 5.2 DLY simplification ; 5.3 Assembly. | |
| 505 | 8 | |a 5.3.1 Elemental Matrices 5.3.2 Elemental Right Hand Sides ; 5.3.3 Quadrature Rules ; 5.4 Examples ; Exercises ; 6. Mesh Refinement ; 6.1 Marking Strategies ; 6.2 Refinement ; 6.2.1 Bisection ; 6.2.2 Triangle splitting ; 6.3 Grid Hierarchy ; 6.4 Examples ; Exercises. | |
| 500 | |a 7. Multigrid. | ||
| 520 | |a 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 as far as it gives insight into the construction of algorithms. Throughout the exercises a complete FE-solver for scalar 2D problems will be implemented in Matlab/Octave. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Finite element method |v Textbooks. | |
| 650 | 0 | |a Differential equations, Partial |v Textbooks. | |
| 650 | 0 | |a Algorithms |v Textbooks. | |
| 650 | 7 | |a MATHEMATICS |x Numerical Analysis. |2 bisacsh | |
| 650 | 7 | |a Algorithms |2 fast | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Finite element method |2 fast | |
| 655 | 7 | |a Textbooks |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Weiser, Martin. |t Inside Finite Elements. |d Berlin/Boston : De Gruyter, ©2016 |z 9783110373172 |
| 830 | 0 | |a De Gruyter textbook. | |
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