Abstract
A stable second kind integral equation formulation has been developed for the Dirichlet problem for the Laplace equation in two dimensions, with the boundary conditions specified on a collection of open curves. The performance of the obtained apparatus is illustrated with several numerical examples.
Original language | English (US) |
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Pages (from-to) | 40-74 |
Number of pages | 35 |
Journal | Journal of Computational Physics |
Volume | 191 |
Issue number | 1 |
DOIs | |
State | Published - Oct 10 2003 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics
Keywords
- Dirichlet problem
- Finite Hilbert transform
- Laplace equation
- Open surface problems
- Second kind integral equation