๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

โœ Scribed by Tarek Poonithara Abraham Mathew (auth.)

Book ID
127456913
Publisher
Springer
Year
2008
Tongue
English
Weight
4 MB
Edition
1
Category
Library
City
Berlin
ISBN
354077209X

No coin nor oath required. For personal study only.

โœฆ Synopsis

Domain decomposition methods are divide and conquer methods for the parallel and computational solution of partial differential equations of elliptic or parabolic type. They include iterative algorithms for solving the discretized equations, techniques for non-matching grid discretizations and techniques for heterogeneous approximations. This book serves as an introduction to this subject, with emphasis on matrix formulations. The topics studied include Schwarz, substructuring, Lagrange multiplier and least squares-control hybrid formulations, multilevel methods, non-self adjoint problems, parabolic equations, saddle point problems (Stokes, porous media and optimal control), non-matching grid
discretizations, heterogeneous models, fictitious domain methods, variational inequalities, maximum norm theory, eigenvalue problems, optimization problems and the Helmholtz scattering problem. Selected convergence theory is included.

โœฆ Subjects

Partial Differential Equations

๐Ÿ“œ SIMILAR VOLUMES

[Lecture Notes in Computational Science
[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Volume 61 || Heterogeneous Domain Decomposition Methods
โœ Mathew, Tarek Poonithara Abraham ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Springer Berlin Heidelberg ๐ŸŒ German โš– 415 KB

Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. T

[Lecture Notes in Computational Science
[Lecture Notes in Computational Science and Engineering] Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Volume 61 || Eigenvalue Problems
โœ Mathew, Tarek Poonithara Abraham ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Springer Berlin Heidelberg ๐ŸŒ German โš– 186 KB

Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. T

Domain mappings for the numerical soluti
Domain mappings for the numerical solution of partial differential equations
โœ William L. Oberkampf ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 588 KB

## Abstract Independent variable transformations of partial differential equations are examined with regard to their use in numerical solutions. Systems of first order and second order partial differential equations in conservative and nonconservative form are considered. These general equations ar