The Finite Element Method for Boundary Value Problems: Mathematics and Computations (Applied and Computational Mechanics)

Karan S. Surana, J. N. Reddy

ISBN 10: 1498780504 / ISBN 13: 9781498780506

Editore: CRC Press 2016-08-16, 2016

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Codice articolo 6666-TNFPD-9781498780506

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Titolo: The Finite Element Method for Boundary Value...

Casa editrice: CRC Press 2016-08-16

Data di pubblicazione: 2016

Legatura: Hardcover

Condizione: New

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Riassunto:

Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.

Recensione:

"This book is written by notable experts in the field, and its content has been verified and used in university courses for thirty years. It is self-contained, and it includes a balance of mathematical background/derivations and applications to general problems (rather than restriction to solid mechanics, for example), and this it will be of high interest to students in applied mathematics, applied physics, as well as all branches of engineering mechanics."

--John D. Clayton, University of Maryland, College Park, USA