Understanding and Implementing the Finite Element Method
By (author) Mark S. Gockenbach
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Understanding and Implementing the Finite Element Method by Mark S. Gockenbach
Book DescriptionThe finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.
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Book DetailsISBN: 9780898716146
(247mm x 170mm x 20mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-Jan-1987
Country of Publication: United States
Books By Author Mark S. Gockenbach
Partial Differential Equations, Hardback (December 2010)
A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.
Finite Dimensional Linear Algebra, Hardback (May 2010)» View all books by Mark S. Gockenbach
Linear algebra forms the basis for much of modern mathematics - theoretical, applied, and computational. Thsi book provides a foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.
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Author Biography - Mark S. Gockenbach
Mark S. Gockenbach is a Professor of Mathematical Sciences at Michigan Technological University. His research interests include inverse problems, computational optimization, and mathematical software. His first book, Partial Differential Equations: Analytical and Numerical Methods, was published by SIAM in 2002.
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