Buch Details
Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity. Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general conditions. In addition, algorithms are developed for eigenvalue problems and Navier-Stokes problems. The development of these algorithms is based on detailed discussions of topics that include accuracy estimates of projective and difference methods, topologically equivalent grids and triangulations, general theorems on convergence of iterative methods, mixed finite element methods for Stokes-type problems, methods of solving fourth-order problems, and methods for solving classical elasticity problems.
Furthermore, the text provides methods for managing basic iterative methods such as domain decomposition and multigrid methods. These methods, clearly developed and explained in the text, may be used to develop algorithms for solving applied elliptic problems. The mathematics necessary to understand the development of such algorithms is provided in the introductory material within the text, and common specifications of algorithms that have been developed for typical problems in mathematical physics are identified. These features of the book make it more widely accessible to those interested in numerical methods and their optimization, including students and researchers in mathematical physics, functional analysis, theory of differential equations, approximation theory of functions, and geometry.
- Einband Taschenbuch
- Schriftsteller D´yakonov, Eugene G.
- ISBN13 9780849328725
- ISBN10 0849328721
Optimization in solving elliptic problems
- Autor/in Eugene G. D´yakonov
- Verlag CRC PRESS
- ISBN 9780849328725
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