Stabilised hp-finite element approximation of partial differential equations with nonnegative characteristic form
This paper is devoted to the a priori error analysis of the hp-version of a streamline-diffusion finite element method For partial differential equations with nonnegative characteristic Term. This class of equations includes second-order elliptic and parabolic problems, first-order hyperbolic problems and second-order problems of mixed elliptic-parabolic-hyperbolic type. We derive error bounds which are simultaneously optimal in both the mesh size h and the spectral order p. Numerical examples are presented to confirm the theoretical results.
partial differential equations with nonnegative characteristic form a priori error analysis stabilised hp-finite element methods