Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form.

Conference item

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 form. 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.

Authors: Houston, P; Süli, E

• Publication status: Published
• Host title: Computing
• Volume: 66
• Issue: 2
• Pages: 99-119
• Publication date: 2001-01-01
• DOI: 10.1007/s006070170030
• EISSN: 1436-5057
• ISSN: 0010-485X
• Keywords: partial differential equations with nonnegative; characteristic form; stabilised hp-finite element methods; a priori error analysis