Finite Element Solution of Boundary Value Problems: Theory and Computation
Finite Element Solution of Boundary Value Problems: Theory and Computation provides an introduction to both the theoretical and computational aspects of the finite element method for solving boundary value problems for partial differential equations. This book is composed of seven chapters and begin...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Kent
Elsevier Science
2014
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| Schlagworte: | |
| Online-Zugang: | FAW01 |
| Zusammenfassung: | Finite Element Solution of Boundary Value Problems: Theory and Computation provides an introduction to both the theoretical and computational aspects of the finite element method for solving boundary value problems for partial differential equations. This book is composed of seven chapters and begins with surveys of the two kinds of preconditioning techniques, one based on the symmetric successive overrelaxation iterative method for solving a system of equations and a form of incomplete factorization. The subsequent chapters deal with the concepts from functional analysis of boundary value problems. These topics are followed by discussions of the Ritz method, which minimizes the quadratic functional associated with a given boundary value problem over some finite-dimensional subspace of the original space of functions. Other chapters are devoted to direct methods, including Gaussian elimination and related methods, for solving a system of linear algebraic equations. The final chapter continues the analysis of preconditioned conjugate gradient methods, concentrating on applications to finite element problems. This chapter also looks into the techniques for reducing rounding errors in the iterative solution of finite element equations.This book will be of value to advanced undergraduates and graduates in the areas of numerical analysis, mathematics, and computer science, as well as for theoretically inclined workers in engineering and the physical sciences |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (453 pages) |
| ISBN: | 9781483260563 9780120687800 |
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| 520 | |a Finite Element Solution of Boundary Value Problems: Theory and Computation provides an introduction to both the theoretical and computational aspects of the finite element method for solving boundary value problems for partial differential equations. This book is composed of seven chapters and begins with surveys of the two kinds of preconditioning techniques, one based on the symmetric successive overrelaxation iterative method for solving a system of equations and a form of incomplete factorization. The subsequent chapters deal with the concepts from functional analysis of boundary value problems. These topics are followed by discussions of the Ritz method, which minimizes the quadratic functional associated with a given boundary value problem over some finite-dimensional subspace of the original space of functions. Other chapters are devoted to direct methods, including Gaussian elimination and related methods, for solving a system of linear algebraic equations. The final chapter continues the analysis of preconditioned conjugate gradient methods, concentrating on applications to finite element problems. This chapter also looks into the techniques for reducing rounding errors in the iterative solution of finite element equations.This book will be of value to advanced undergraduates and graduates in the areas of numerical analysis, mathematics, and computer science, as well as for theoretically inclined workers in engineering and the physical sciences | ||
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Datensatz im Suchindex
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| author | Axelsson, O. |
| author_facet | Axelsson, O. |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043616685 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:55Z |
| institution | BVB |
| isbn | 9781483260563 9780120687800 |
| language | English |
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| physical | 1 online resource (453 pages) |
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| spelling | Axelsson, O. Verfasser aut Finite Element Solution of Boundary Value Problems Theory and Computation Kent Elsevier Science 2014 © 1984 1 online resource (453 pages) txt rdacontent c rdamedia cr rdacarrier Description based on publisher supplied metadata and other sources Finite Element Solution of Boundary Value Problems: Theory and Computation provides an introduction to both the theoretical and computational aspects of the finite element method for solving boundary value problems for partial differential equations. This book is composed of seven chapters and begins with surveys of the two kinds of preconditioning techniques, one based on the symmetric successive overrelaxation iterative method for solving a system of equations and a form of incomplete factorization. The subsequent chapters deal with the concepts from functional analysis of boundary value problems. These topics are followed by discussions of the Ritz method, which minimizes the quadratic functional associated with a given boundary value problem over some finite-dimensional subspace of the original space of functions. Other chapters are devoted to direct methods, including Gaussian elimination and related methods, for solving a system of linear algebraic equations. The final chapter continues the analysis of preconditioned conjugate gradient methods, concentrating on applications to finite element problems. This chapter also looks into the techniques for reducing rounding errors in the iterative solution of finite element equations.This book will be of value to advanced undergraduates and graduates in the areas of numerical analysis, mathematics, and computer science, as well as for theoretically inclined workers in engineering and the physical sciences Boundary value problems -- Numerical solutions Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Randwertproblem (DE-588)4048395-2 s 1\p DE-604 Barker, V. A. Sonstige oth Rheinboldt, Werner Sonstige oth Erscheint auch als Druck-Ausgabe Axelsson, O . Finite Element Solution of Boundary Value Problems : Theory and Computation 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Axelsson, O. Finite Element Solution of Boundary Value Problems Theory and Computation Boundary value problems -- Numerical solutions Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4048395-2 |
| title | Finite Element Solution of Boundary Value Problems Theory and Computation |
| title_auth | Finite Element Solution of Boundary Value Problems Theory and Computation |
| title_exact_search | Finite Element Solution of Boundary Value Problems Theory and Computation |
| title_full | Finite Element Solution of Boundary Value Problems Theory and Computation |
| title_fullStr | Finite Element Solution of Boundary Value Problems Theory and Computation |
| title_full_unstemmed | Finite Element Solution of Boundary Value Problems Theory and Computation |
| title_short | Finite Element Solution of Boundary Value Problems |
| title_sort | finite element solution of boundary value problems theory and computation |
| title_sub | Theory and Computation |
| topic | Boundary value problems -- Numerical solutions Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Boundary value problems -- Numerical solutions Finite element method Finite-Elemente-Methode Randwertproblem |
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