
AbstractWe relate a particular version of a parallel multigrid method to a domain decomposition method, showing that the parallel multigrid method reduces computation to a small portion of the domain and then extends the solution to the entire domain using the correct reflections to get the exact solution. We extend a particular example to double the parallelism in a nonobvious manner. While the techniques of this paper are applied to twodimensional problems, they can be applied to higher dimensional problems in an obvious manner.
Iterative numerical methods for linear systems, parallel domain reduction method, Boundary value problems for second-order elliptic equations, parallel multigrid method, Parallel numerical computation, Numerical solution of discretized equations for boundary value problems involving PDEs, domain decomposition methods
Iterative numerical methods for linear systems, parallel domain reduction method, Boundary value problems for second-order elliptic equations, parallel multigrid method, Parallel numerical computation, Numerical solution of discretized equations for boundary value problems involving PDEs, domain decomposition methods
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