*FINITE element method, *LEAST squares, *PARABOLIC differential equations, *NUMERICAL analysis, *ERROR analysis in mathematics, *MATHEMATICS
Abstract
Abstract: In this paper, we propose some least-squares finite element procedures for linear and nonlinear parabolic equations based on first-order systems. By selecting the least-squares functional properly each proposed procedure can be split into two independent symmetric positive definite sub-procedures, one of which is for the primary unknown variable and the other is for the expanded flux unknown variable . Optimal order error estimates are developed. Finally we give some numerical examples which are in good agreement with the theoretical analysis. [Copyright &y& Elsevier]
*FINITE element method, *NUMERICAL analysis, *MATHEMATICAL analysis, *MATHEMATICS
Abstract
Abstract: In this paper, we study the superconvergence of the frictionless Signorini problem. When approximated by bilinear finite elements, by virtue of the information on the contact zone, we can derive a superconvergence rate of under a proper regularity assumption. Finally, a numerical test is given to verify our result. [Copyright &y& Elsevier]