A Constructive Introduction to Finite Elements Method

Book summary

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Book cover

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Contents

1.Variational formulations
1.1. A 1D model problem
1.2. A 2D model problem (lapace eqution)
1.3. Some other boundary value problems
1.4. An eigenvalue problem
1.5. Problems

2. Finite elements method
2.1. F.E.M. for a 1D model problem
2.2. F.E.M. for a 2D model problem
2.3. “Stiffness” matrix and “load” vector
2.4. F.E.M. for an eigenvalue problem
2.5. Problems

3.Error analysis in F.E.M
3.1.An error estimate for F.E.M., 1D problems
3.2. An error estimate for F.E.M., 2D problems
3.3. Some other types of finite elements spaces
3.4. Problems

4. Direct and Iterative methods
4.1. Gaussian elimination
4.2. Iterative methods
4.3. Some minimization algorithms
4.4. Problems

5. Finite differences method
5.1. Existence and uniqueness of solutions of T.P.B.V.P.
5.2. A finite differences method
5.3. Eigenvalue problems
5.4. Problems

6. Appendices
6.1. Appendix A
6.2. Apendix B
6.3. Problems
6.4. Notations
6.5. Subject index

Chapter

Ch. 1 Introduction

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Chapter

Ch. 2 Preliminaries

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Ch. 3 ??

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Ch. 4 Stochastic…???

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Ch. 5 Stochastic…???

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Ch. 6 Stochastic…???

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Cite this book as:

C.I. Gheorghiu, A Constructive Introduction to Finite Elements Method, Ed. Quo-Vadis, Cluj-Napoca, 1999.

Book Title

A Constructive Introduction to Finite Elements Method

Publisher

Quo Vadis

Print ISBN

973-99137-0-9

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The book on google scholar.

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