In this paper, a characteristic mined finite element method for the non stationary conduction-convection problems is presented. and the solvability and error estimates based on this method is derived.
In this paper, a characteristic mined finite element method for the non stationary conduction-convection problems is presented. and the solvability and error estimates based on this method is derived.
This paper is interested in a system of conservation laws with a stiff relaxation term arised in viscoelasticity. The properties of a class of fully implicit finite difference methods approximating this system are ana...
详细信息
This paper is interested in a system of conservation laws with a stiff relaxation term arised in viscoelasticity. The properties of a class of fully implicit finite difference methods approximating this system are analyzed, which include maximum principles, bounds on the total variation, Ll-bounds, and L1-continuity estimates in term of some conserved physical quantity and this characteristic variables generated by difference schemes with proper initial data. These estimates are necessary for the existence of a bounded-total variation (BV) solution. Furthermore, we show that numerical entropy inequalities for some convex entropy pairs of the fully system hold.
暂无评论