Variational principles and conservationl aws in the derivation of radiation boundary conditions for wave equations
| Autor: | Embrecht W.C. van Groesen, Edwin F. G. van Daalen, J. Broeze |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 1992 |
| Předmět: |
Algebra and Number Theory
Partial differential equation Applied Mathematics Mathematical analysis Mixed boundary condition Wave equation Computational Mathematics symbols.namesake Variational principle Luke's variational principle symbols Free boundary problem Boundary value problem Noether's theorem Mathematics |
| Zdroj: | Mathematics of computation, 58(197), 55-71. American Mathematical Society |
| ISSN: | 0025-5718 |
| Popis: | Radiation boundary conditions are derived for partial differential equations which describe wave phenomena. Assuming the evolution of the system to be governed by a Lagrangian variational principle, boundary conditions are obtained with Noether’s theorem from the requirement that they transmit some appropriate density—such as the energy density—as well as possible. The theory is applied to a nonlinear version of the Klein-Gordon equation. For this application numerical test results are presented. In an accompanying paper the theory is applied to a two-dimensional wave equation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|