Abstract
The method of numerical solution of the system of polyharmonic equations of two types is proposed: 1) the right part is a given polyharmonic function; 2) the right part is also the desired polyharmonic function. The method is based on Green’s integral identity and the boundary element method. The system of polyharmonic equations with boundary conditions is reduced to a system of integral identities, and then after the discretization to a system of linear algebraic equations. Numerical examples of solving boundary value problems on the plane are considered, including the problem of shell and plate theory.
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