Residual-free bubbles for advection-diffusion problems: the general error analysis

Journal article

We develop the general a priori error analysis of residual-free bubble finite element approximations to non-self-adjoint elliptic problems of the form (εA + C)u = f subject to homogeneous Dirichlet boundary condition, where A is a symmetric second-order elliptic operator, C is a skew-symmetric first-order differential operator, and ε is a positive parameter. Optimal-order error bounds are derived in various norms, using piecewise polynomial finite elements of degree k ≥ 1.

Authors: Brezzi, F; Marini, D; Suli, E

• Publication status: Published
• Journal: NUMERISCHE MATHEMATIK
• Volume: 85
• Issue: 1
• Pages: 31-47
• Publication date: 2000-03-01
• DOI: 10.1007/s002110050476
• EISSN: 0945-3245
• ISSN: 0029-599X
• Language: English