Alternating Direction Method For The External Helmholtz Equation
Free (open access)
K Hayashi & K Onishi
An iterative domain decomposition method for the numerical solution of an external problem of the Helmholtz equation in two dimensions is considered. An artificial boundary is introduced, which decomposes the external domain R into a bounded subdomain R I and the external subdomain 0 2 outside Q,. The finite element and the boundary element methods are applied to the equations for the numerical solutions on the domains R1 and R 2 respectively, and the methods are indirectly combined by the boundary data on the artificial boundary. Differential form of the boundary integral equation is combined according to Burton and Miller (1971) in order to make the method free from the fictious eigen-frequencies. Some numerical examples are presented.