2011•Journal of Northwest Normal UniversityRequires access

The virtual boundary element method for 2D Helmholtz equation boundary value problems

LI Yu-lian

Abstract

Based on the single layer potential,the virtual boundary calculation formula of 2D Helmholtz equation boundary value problem is given with the help of the field source function on the virtual boundary.The method can avoid the singular integral,and it can reach a high accuracy near the boundary.Numerical example demonstrate the feasibility and efficiency of this method.

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Key concepts: Singular boundary method, Helmholtz equation, Boundary element method, Boundary knot method, Mathematical analysis, Mixed boundary condition, Boundary (topology), Boundary value problem