A localized boundary element method for the floating body problem
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Authors
The classic floating body problem is considered which is a linear Robin-Neumann boundary value problem in an infinite strip. Existence, uniqueness and regularity of solutions are discussed. Based on the investigation of related exterior problems, coupling operators are introduced to formulate localized boundary integral equations. Then stability and convergence for Galerkin discretizations are shown. Finally, numerical examples illustrate the results.
| Original language | English |
|---|---|
| Journal | IMA Journal of Numerical Analysis |
| Volume | 21 |
| Issue number | 4 |
| Pages (from-to) | 799-816 |
| Number of pages | 18 |
| ISSN | 0272-4979 |
| DOIs | |
| Publication status | Published - 01.10.2001 |
| Externally published | Yes |
- Mathematics
- boundary element method, convergence, existence, hypersingular operator, mixed boundary value problem, oscillating rigid body
Research areas
- Applied Mathematics
- Mathematics(all)
- Computational Mathematics