Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation
Robust Adaptive $hp$ Discontinuous Galerkin Finite Element Methods for the Helmholtz Equation
This paper presents an $hp$ a posteriori error analysis for the 2D Helmholtz equation that is robust in the polynomial degree $p$ and the wave number $k$. For the discretization, we consider a discontinuous Galerkin formulation that is unconditionally well posed. The a posteriori error analysis is based on the …