Matlab Database > Partial Differential Equations > Finite Element Method > Domain Decomposition

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Title: Domain Decomposition
Author: Bernd Flemisch
E-Mail: flemisch-AT-mathematik.uni-stuttgart.de
Institution: University of Stuttgart
Description: Solution of Poisson's equation using domain decoposition on a domain composed of a rectangle and a semicircle with u=0 on the boundary.
The problem is solved using domain decomposition. Two variants are compared for solving the Schur-Complement system:
1. Dirichlet-Neumann method,
2. Neumann-Neumann method.
Starting with step 1 on a coarse triangulation, the system is solved. After each step, the triangulation is refined, the system is solved again until maxsteps is reached. Usage: ddm(maxsteps, TOL)
INPUT: maxsteps: the maximum number of steps
TOL: tolerance for declaration of convergence
The OUTPUT includes a visualization of the grids, the solution, iteration counts and error decay (compared to the FE-solution on the global domain).
Keywords: domain decomposition, Dirichlet-Neumann, Neumann-Neumann, Schur complement
File Name: ddm.zip
File Size: 5 KB
File Version: 1.0
Matlab Version: 6.1
Date: 2002-08-08
Downloads: 4179
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