Author(s)

T.J. Urekew & J.J. Rencis

Abstract

A hybrid equation solver for BEM T.J. Urekew, J.J. Rencis Mechanical Engineering Department, Worcester Polytechnic Institute, Worcester, Massachusetts ABSTRACT A hybrid, iterative / direct solution strategy is presented for mixed boundary value problems from the direct boundary element method, where both essential (prin- cipal) and nonessential (natural) constraints are prescribed on the boundary. In the mixed boundary value problem constraints are imposed upon the BEM system of equations Hu = Gt to form Ax = b. The A matrix is fully populated, un symmetric, and made up of columns from the H and G matrices, corresponding to the nonessential and essential boundary conditions, respectively. An analysis of the eigenvalue spectra from H and G shows that the H matrix has better convergence properties than the G matrix. Based on these findings, the coeffi- cient matrix A is arranged to place the columns from H in the left-most columns of A and the columns from G in the right-most colum

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