NEW CONVERGENCE-ESTIMATES FOR MULTILEVEL ALGORITHMS FOR FINITE-ELEMENT APPROXIMATIONS

[摘要] New convergence estimates are established for some multilevel algorithms for finite-element methods applied to elliptic problems with jump coefficients. A uniform rate of convergence is derived if the coefficient has only one jump interface. If the coefficient has multi-jump interfaces which meet at only one interior point in the domain, the convergence rate is bounded by 1-(CJ)-1, where J is the number of levels and C is a constant independent of the jump.

[发布日期] 1994-05-20

[效力级别]  Proceedings Paper

[关键词] 2ND-ORDER ELLIPTIC EQUATION;FINITE-ELEMENT METHOD;MULTIGRID METHOD