2 research outputs found
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: a priori error analysis
This paper presents an a priori error analysis of the hp-version of the
boundary element method for the electric field integral equation on a piecewise
plane (open or closed) Lipschitz surface. We use H(div)-conforming
discretisations with Raviart-Thomas elements on a sequence of quasi-uniform
meshes of triangles and/or parallelograms. Assuming the regularity of the
solution to the electric field integral equation in terms of Sobolev spaces of
tangential vector fields, we prove an a priori error estimate of the method in
the energy norm. This estimate proves the expected rate of convergence with
respect to the mesh parameter h and the polynomial degree p