Quasi muhigrid preconditioned iteration method for boundary value problem of two- dimensional elliptic equations
Abstract：For numerical problem of two - dimensional elliptic equation, the paper combines the advantages of muhigrid method and preconditioned method, and constructs an iterative method for solving boundary value problem of two- dimensional elliptic equations. The numerical results show that this method can effectively im- prove the convergence rate of iteration method, the numerical solutions of iterative computation approach preci- sion of exact solution are higher and the numerical solutions are more stable, there are significant advantages compared to the SOR method, and it is a reliable and efficient method to solve boundary value problem of two - dimensional elliptic equations.
Keywords：elliptic equationmultigrid methodpreconditioneddifference scheme
Publication Date：2012-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 294-298 )