An Analysis of the Finite Element Method

Name: An Analysis of the Finite Element Method
Author: Gilbert Strang

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Paperback, 412 blz. | Engels

Wellesley-Cambridge Press | e druk, 2018

ISBN13: 9780980232783

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Wellesley-Cambridge Press e druk, 2018 9780980232783

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This second edition has two parts. The first part is the complete classic by Gilbert Strang and George Fix, first published in 1973. The original book demonstrates the solid mathematical foundation of the finite element idea, and the reasons for its success. The second part is a new textbook by Strang. It provides examples, codes, and exercises to connect the theory of the Finite Element Method directly to the applications. The reader will learn how to assemble the stiffness matrix K and solve the finite element equations KU=F. Discontinuous Galerkin methods with a numerical flux function are now included. Strang's approach is direct and focuses on learning finite elements by using them.

Specificaties

ISBN13:9780980232783

Taal:Engels

Bindwijze:Paperback

Aantal pagina's:412

Uitgever:Wellesley-Cambridge Press

Inhoudsopgave

Introduction to the second edition; Foreword to the 1997 edition; Preface; Part I: 1. An introduction to the theory; A summary of the theory; 3. Approximation; 4. Variational crimes, 5. Stability; 6. Eigenvalue problems; 7. Initial-value problems; 8. Singularities; Bibliography; Index of notations; Index; Part II: 9. Finite elements in one dimension; 10. The finite element method in 2D and 3D; 11. Errors in projections and eigenvalues; 12. Mixed finite elements: velocity and pressure; Appendix A. Discontinuous Galerkin methods; Appendix B. Fast Poisson solvers; Index for chapters 9-12 and appendices A and B.

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An Analysis of the Finite Element Method

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