In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound O(h[sup ?]) is obtained with requirements of two times continuously dif...
详细信息
In this paper, the linear finite element approximation to the elastic contact problem with curved contact boundary is considered. The error bound O(h[sup ?]) is obtained with requirements of two times continuously differentiable for contact boundary and the usual regular triangulation, while *** et. al. Obtained the error bound O(h[sup ?]) with requirements of three times continuously differentiable for contact boundary and extra regularities of triangulation (c.f. [2]). [ABSTRACT FROM AUTHOR]
In this paper, an overlapping domain decomposition method for solvingthe exterior boundary value problem of plane elasticity equation by using naturalboundary reduction is discussed. This method is effective especiall...
详细信息
In this paper, an overlapping domain decomposition method for solvingthe exterior boundary value problem of plane elasticity equation by using naturalboundary reduction is discussed. This method is effective especially for problems overunbounded domains. The geometric convergency is proved. The theoretical results aswell as the numerical examples show that the convergence rate of this discreteSchwarz iteration is independent of the finite element mesh size, but dependent onthe frequency of the exact solution and the overlapping degree of subdomains.
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 continues to construct and study the explicit compact (EC) schemes for conservation laws. First, we axtend STCE/SE method on non-staggered grid, which has same well resolution as one in [1], and just requir...
详细信息
This paper continues to construct and study the explicit compact (EC) schemes for conservation laws. First, we axtend STCE/SE method on non-staggered grid, which has same well resolution as one in [1], and just requires half of the computational works. Then, we consider some constructions of the EC schemes for two-dimensional conservation laws, and some 1D and 2D numerical experiments are also given.
In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], because its solution ...
详细信息
In this paper, we present a new semi-discrete difference scheme for the KdV equation, which possesses the first four nearconserved quatities. The scheme is better than the past one given in [4], because its solution has a more superior estimation. The convergence and the stability of the new scheme are proved
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