Abstract
Laplace- and Helmholtz-type boundary value problems with singularities are considered. A sequence of approximations to the exact boundary conditions at an artificial boundary is given. Then the original problem is reduced to a boundary value problem in a domain away from the singularities. Furthermore, finite-element approximations are applied to this problem and error estimates are obtained. Finally, some numerical examples show the effectiveness of this method.
Original language | English |
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Pages (from-to) | 1037-1050 |
Number of pages | 14 |
Journal | SIAM Journal on Numerical Analysis |
Volume | 34 |
Issue number | 3 |
DOIs | |
Publication status | Published - May 1997 |
Scopus Subject Areas
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics
User-Defined Keywords
- Approximate boundary conditions at an artificial boundary
- Artificial boundary
- Singularity