| Title | Well-Posedness Analysis and Numerics of Boundary-Domain Integral Equation Systems Equivalent to the Robin Problem for the Helmholtz Equation With Variable Coefficients in Lipschitz Domains |
|---|---|
| Authors | FRESNEDA PORTILLO, CARLOS, Caruso, Nahuel D. |
| External publication | No |
| Means | Math. Meth. Appl. Sci. |
| Scope | Article |
| Nature | Científica |
| JCR Quartile | 1 |
| SJR Quartile | 2 |
| Publication date | 30/07/2025 |
| ISI | 001485931700001 |
| DOI | 10.1002/mma.10965 |
| Abstract | Given the interior Robin boundary value problem (BVP) for the Helmholtz equation with variable coefficients, we use an appropriate parametrix to derive two boundary-domain integral equation systems (BDIES) equivalent to the original Robin BVP in Lipschitz domains. One then can choose which BDIES might be more convenient to be solved numerically. Main results of the paper concern the equivalence between the BDIE systems obtained and the original BVP, as well as well-posedness of the BDIES, which does not contain hypersingular operators. The last sections of the paper are devoted to confirm the theoretical results with various numerical experiments in 2D. |
| Keywords | boundary-domain integral equations; Helmholtz equation; parametrix; Robin boundary value problem |
| Universidad Loyola members |