New scalar and vector elementary functions for the IBM system/370
IBM Journal of Research and Development
Iterative methods for the solution of elliptic problems on regions partitioned into substructures
SIAM Journal on Numerical Analysis
A domain-decomposed fast poisson solver on a rectangle
SIAM Journal on Scientific and Statistical Computing - Papers from the Second Conference on Parallel Processing for Scientific Computin
SIAM Journal on Scientific and Statistical Computing
ACM Transactions on Mathematical Software (TOMS)
Fast Laplace Solver by Boundary Integral Based Domain Decomposition Methods
Proceedings of the Third SIAM Conference on Parallel Processing for Scientific Computing
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A method, called Boundary Integral-based Domain Decomposition was recently proposed for the solution of Laplace's equation. The method is characterized by the complete decoupling of the problem domain into subdomains which is possible after integral equation based techniques are used for the calculation of the solution on the subdomain boundaries. We describe some theoretical and practical issues involved in the use of such methods on shared memory multiprocessors.