Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522663 | Journal of Computational Physics | 2009 | 16 Pages |
Abstract
Laplace’s equation with mixed boundary conditions, that is, Dirichlet conditions on parts of the boundary and Neumann conditions on the remaining contiguous parts, is solved on an interior planar domain using an integral equation method. Rapid execution and high accuracy is obtained by combining equations which are of Fredholm’s second kind with compact operators on almost the entire boundary with a recursive compressed inverse preconditioning technique. Then an elastic problem with mixed boundary conditions is formulated and solved in an analogous manner and with similar results. This opens up for the rapid and accurate solution of several elliptic problems of mixed type.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Johan Helsing,