ADAPTIVE BOUNDARY ELEMENTS FOR EIGENVALUE ANALYSIS OF THE HELMHOLTZ-EQUATION

A method for eigenvalue determination of the Helmholtz equation by using adaptive boundary elements is presented for the first time. An h-version mesh refinement scheme and an efficient eigenvalue determination method by virtue of Newton iteration, both developed earlier by the present authors, are combined. Mesh refinement of selected elements is controlled by their intensity of influence on the error of the determinant of the system coefficient matrix at each iteration. Example computations are shown to verify the potential of the proposed scheme.