A discontinuous finite element formulation for Helmholtz equation
A discontinuous finite element formulation for Helmholtz problems is presented with C0 continuity across inter-element boundaries enforced in a weak sense depending on two parameters β and λ whose choice is crucial for the performance of the proposed method. These parameters are chosen through one d...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2006-07, Vol.195 (33-36), p.4018-4035 |
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| container_end_page | 4035 |
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| container_issue | 33-36 |
| container_start_page | 4018 |
| container_title | Computer methods in applied mechanics and engineering |
| container_volume | 195 |
| creator | Alvarez, Gustavo Benitez Loula, Abimael Fernando Dourado do Carmo, Eduardo Gomes Dutra Rochinha, Fernando Alves |
| description | A discontinuous finite element formulation for Helmholtz problems is presented with C0 continuity across inter-element boundaries enforced in a weak sense depending on two parameters β and λ whose choice is crucial for the performance of the proposed method. These parameters are chosen through one dimension numerical experiments aiming at minimizing the pollution error. Optimal values of these parameters are then adopted in more general situations. The accuracy and stability of the proposed formulation for linear and bilinear shape functions are demonstrated in several numerical examples in one and two dimensions. |
| doi_str_mv | 10.1016/j.cma.2005.07.013 |
| format | Article |
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| ispartof | Computer methods in applied mechanics and engineering, 2006-07, Vol.195 (33-36), p.4018-4035 |
| issn | 0045-7825 1879-2138 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_29211094 |
| source | Elsevier ScienceDirect Journals |
| subjects | Computational techniques Discontinuous FEM Discontinuous Galerkin Exact sciences and technology Fundamental areas of phenomenology (including applications) Helmholtz equation Mathematical methods in physics Physics Stabilization |
| title | A discontinuous finite element formulation for Helmholtz equation |
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