Automatic mesh generation for h-p adaption

Abstract

In p-adaption, the density of degrees of freedom is controlled by adjusting the polynomial order of the finite elements. An ideal mesh is therefore as coarse as possible, subject to the constraint that the elements are not too thin. An algorithm capable of producing such meshes is described. The algorithm adds nodes to the mesh in a way which avoids thin triangles. It can also work in conjunction with a specified node density, and is therefore suitable for combined h-p adaptation. Sample meshes are presented for a dielectric waveguide structure, and an electric machine.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>