In this paper, we propose a local multilevel preconditioner for the mortar finite element approximations of the elliptic problems. With some mesh assumptions on the interface, we prove that the condition number of the...
This work was subsidized by the special funds for major state basic research projects under 2005CB321700 and a grant from the National Science Foundation (NSF) of China (No. 10471144).
The mortar element method is a new domain decomposition method(DDM) with nonoverlapping subdomains. It can handle the situation where the mesh on different subdomains need not align across interfaces, and the matchi...
Supported by the National Natural Science Foundation of China under grant 10071015.
In this paper, we consider the cascadic multigrid method for the mortar P1 nonconforming element which is used to solve the Poisson equation and prove that the cascadic conjugate gradient method is accurate with optim...
In this paper, we construct and analyse a mortar finite volume method for the discretization for the biharmonic problem in R2. This method is based on the mortar-type Adini nonconforming finite element spaces. The opt...
The research was supported by the Special Funds for Major State Basic Research Projects G1999032804 and a grant from LIAMA
In this paper, a mortar finite element method for parabolic problem is presented. Multi-grid method is used for solving the resulting discrete system. It is shown that the multigrid method is optimal, i.e, the converg...
Subsidized by the National Natural Science Foundation of China under Grant 19901014 ; the Special Funds for Major State Basic Research Projects.
Presents information on a study which proposed a mortar element version for rotated Q1 element. Introduction of the model problem; Auxiliary technical lemmas necessary to prove the results; Error estimate.