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In this paper, a new type of iteration method is proposed to solve eigenvalue problem by finite element method. With this new scheme, solving eigenvalue problem is transformed to solving a series of...
We propose a multigrid method to solve the molecular mechanics model (molecular dynamics at zero temperature). The Cauchy-Born elasticity model is employed as the coarse grid operator and the elasti...
We consider the convergence theory of local multigrid methods for H1()-elliptic and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest order conforming fin...
Smoother is the most important component of parallel multigrid methods, however, the widely used Gauss-Seidel smoother is difficult to be parallelized. This paper proposes a new parallel smoother, J...
In this paper, we consider the cascadic multigrid method for a parabolic type equa- tion. Backward Euler approximation in time and linear 痭ite element approximation in space are employed. A stabilit...
We consider H(curl; ?-elliptic variational problems on bounded Lipschitz polyhedra and their 痭ite element Galerkin discretization by means of lowest order edge elements. We assume that the underlyin...
We present and analyze a multigrid algorithm for the acoustic single layer equation in two dimensions. The boundary element formulation of the equation is based on piecewise constant test functions an...
Abstract: In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic pr...
In this paper, some V-cycle multigrid algorithms are presented for the coupling system arising from discretization the Dirichlet exterior problem by coupling the natural boundary element method and n...
In this paper, some effective cascadic multigrid methods are proposed for solving the large scale symmetric or nonsymmetric algebraic systems arising from the finite volume methods for second order e...

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