论文信息 - Analysis Of A Two-Level Scheme For Solving Finite Element Equations

Analysis Of A Two-Level Scheme For Solving Finite Element Equations

A two-level iterative method for solving linear systems arising from nite element approximations of self-adjoint elliptic boundary value problems is deened and analyzed. Under relatively weak assumptions on the nite element space and diierential problem, the number of iterations of this method that are required to reduce the error by a given factor can be bounded independently of the number of unknowns.

Randolph E. Bank | Todd F. Dupont

[1] N. Bakhvalov. On the convergence of a relaxation method with natural constraints on the elliptic operator , 1966 .

[2] J. Gillis,et al. Matrix Iterative Analysis , 1961 .

[3] A. George. Nested Dissection of a Regular Finite Element Mesh , 1973 .

[4] G. Stampacchia,et al. Inverse Problem for a Curved Quantum Guide , 2012, Int. J. Math. Math. Sci..

[5] Randolph E. Bank,et al. An optimal order process for solving finite element equations , 1981 .

[6] O Axelsson,et al. On preconditioning and convergence acceleration in sparse matrix problems , 1974 .

[7] Jim Douglas,et al. Preconditioned Conjugate Gradient Iteration Applied to Galerkin Methods for a Mildly Nonlinear Dirichlet Problem , 1976 .