An integral equation technique for scattering problems with mixed boundary conditions

作者：Gillman Adrianna^*

来源：Advances in Computational Mathematics, 2017, 43(2): 351-364.

DOI：10.1007/s10444-016-9488-6

• Helmholtz equation
• Mixed boundary value problems
• Integral equations

This paper presents an integral formulation for Helmholtz problems with mixed boundary conditions. Unlike most integral equation techniques for mixed boundary value problems, the proposed method uses a global boundary charge density. As a result, Caldern identities can be utilized to avoid the use of hypersingular integral operators. Numerical results illustrate the performance of the proposed solution technique.

• 出版日期2017-4