Name
Title | ||
|---|---|---|
A Coupling of Local Discontinuous Galerkin and Natural Boundary Element Method for Exterior Problems |
Abstract | ||
|---|---|---|
In this paper, we apply the coupling of local discontinuous Galerkin (LDG) and natural boundary element method(NBEM) to solve a two-dimensional exterior problem. As a consequence, the main features of LDG and NBEM are maintained and hence the coupled approach benefits from the advantages of both methods. Referring to Gatica et al. (Math. Comput. 79(271):1369---1394, 2010), we employ LDG subspaces whose functions are continuous on the coupling boundary. In this way, the primitive variables become the only boundary unknown, and hence the total number of unknown functions is reduced. We prove the stability of the new discrete scheme and derive an a priori error estimate in the energy norm. Some numerical examples conforming the theoretical results are provided. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s10915-012-9584-9 | J. Sci. Comput. |
Keywords | Field | DocType |
Natural boundary element method,Local discontinuous Galerkin method,Coupling,Exterior problem | Discontinuous Galerkin method,Mathematical optimization,Coupling,Mathematical analysis,A priori and a posteriori,Linear subspace,Boundary element method,Mathematics | Journal |
Volume | Issue | ISSN |
53 | 3 | 0885-7474 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Huang Hongying | 1 | 0 | 0.34 |
| Yang Ju'E | 2 | 0 | 0.34 |
| Yu Dehao | 3 | 0 | 0.34 |