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

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.

► A Fredholm second kind integral formulation for biharmonic equation in 3D.
► A fast numerical algorithm for the constructed SKIE.
► Numerical examples provided to illustrate the efficiency of the proposed algorithm.