Iterative radiation boundary conditions for finite element solutions of the scalar wave equation

✍ Scribed by Andrzej J. Safjan

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 561 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00238-9

✦ Synopsis

New families of radiation boundary operators are proposed for ®nite element simulations of wave propagation problems characterized by the scalar wave equation. These operators have the form Bu j1 Cu j ; j 1; 2; . . . ; J ; where B is the Dirichlet, Neumann, or the Robin operator, and C is an appropriately chosen local operator. Since B is a standard operator compatible with the wave equation, and C acts on the known iterate u j ; the radiation operators can be easily incorporated into a typical ®nite element code. The proposed approaches are shown to produce very good results for the test cases considered.