Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions

作者：Jiang Shidong; Ren Bo; Tsuji Paul; Ying Lexing^*

来源：Journal of Computational Physics, 2011, 230(19): 7488-7501.

DOI：10.1016/j,jcp.2011.06.015

• Second kind integral equation
• Dirichlet problem
• Biharmonic equation

A Fredholm second kind integral equation (SKIE) formulation is constructed for the Dirichlet problem of the biharmonic equation in three dimensions. A fast numerical algorithm is developed based on the constructed SKIE. Its performance is illustrated via several numerical examples.

• 出版日期2011-8-10