AN ADDITIVE SCHWARZ PRECONDITIONER FOR P1 NONCONFORMING QUADRILATERAL FINITE ELEMENT METHODSFOR ELLIPTIC EQUATIONS WITH JUMP COEFFICIENTS
带间断系数椭圆问题的P1非协调四边形元的加性 Schwarz 方法

In this paper,we propose a two level additive Schwarz preconditioner for P_1 nonconforming quadrilateral finite element approximations of elliptic equations with jump coefficients. By analyzing the eigenvalue distribution of the additive Schwarz preconditioned systems,we prove that except a small number of eigenvalues,all the other eigenvalues are bounded below and above nearly uniformly with respect to the jump coefficients and meshsize.Therefore,we can get that the convergence rate of the preconditioned c...