Name
Title | ||
|---|---|---|
Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide. |
Abstract | ||
|---|---|---|
We consider a time-harmonic acoustic wave propagation problem in a two-dimensional water waveguide confined between a horizontal surface and a locally varying bottom. We formulate a model based on the Helmholtz equation coupled with nonlocal Dirichlet-to-Neumann boundary conditions imposed on two artificial boundaries. We establish the well-posedness of the associated variational problem, under the assumption of a downsloping bottom, by showing stability estimates in appropriate function spaces. The outcome of some numerical experiments with a code implementing a standard/Galerkin finite element approximation of the variational formulation of the model are also presented. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1137/120864052 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
Helmholtz equation,waveguide,nonlocal boundary conditions,a priori estimates | Boundary value problem,Mathematical optimization,Function space,Acoustic wave propagation,Mathematical analysis,Galerkin method,Waveguide,Finite element method,Helmholtz equation,Mathematics | Journal |
Volume | Issue | ISSN |
44 | 6 | 0036-1410 |
Citations | PageRank | References |
1 | 0.45 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| D. A. Mitsoudis | 1 | 5 | 2.56 |
| Charalambos Makridakis | 2 | 253 | 48.36 |
| M. Plexousakis | 3 | 28 | 3.48 |