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

Authors:
Shidong Jiang;Bo Ren;Paul Tsuji;Lexing Ying
Affiliations:
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, United States;Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, United States;ICES, University of Texas at Austin, Austin, TX 78712, United States;Department of Mathematics and ICES, University of Texas at Austin, Austin, TX 78712, United States
Venue:
Journal of Computational Physics
Year:
2011

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Abstract

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.