| Journal: | Computational & applied mathematics |
| Database: | PERIÓDICA |
| System number: | 000267930 |
| ISSN: | 1807-0302 |
| Authors: | Mesquita, Euclides1 Pavanello, Renato |
| Institutions: | 1Universidade Estadual de Campinas, Departamento de Mecanica Computacional, Campinas, Sao Paulo. Brasil |
| Year: | 2005 |
| Season: | Ene-Abr |
| Volumen: | 24 |
| Number: | 1 |
| Pages: | 1-26 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, descriptivo |
| English abstract | The present article discusses the relation between boundary conditions and the Sommerfeld radiation condition underlying the dynamics of unbounded domains. It is shown that the classical Dirichlet, Neumann and mixed boundary conditions do not fulfill the radiation condition. In the sequence, three strategies to incorporate the radiation condition in numerical methods are outlined. The inclusion of Infinite Elements in the realm of the Finite Element Method (FEM), the Dirichlet-to-Neumann (DtN) mapping and the Boundary Element Method (BEM) are described. Examples of solved dynamic problems in unbounded domains are given for the Helmholtz and the Navier operators. The advantages and limitations of the methodologies are discussed and pertinent literature is provided |
| Disciplines: | Matemáticas, Física y astronomía |
| Keyword: | Matemáticas aplicadas, Física de partículas y campos cuánticos, Condición de radiación de Sommerfeld, Método de elementos finitos, Metodo de elementos frontera, Condiciones de frontera, Métodos numéricos |
| Keyword: | Mathematics, Physics and astronomy, Applied mathematics, Particle physics and quantum fields, Sommerfeld radiation condition, Finite element method, Boundary element method, Boundary conditions, Numerical methods |
| Full text: | Texto completo (Ver HTML) |
