Title :
Multigrid Methods on Adaptively Refined Grids
Author :
Bastian, Peter ; Wieners, Christian
Abstract :
Using multigrid solvers in the adaptive finite element method yields a powerful tool for solving large-scale partial differential equations that exhibit localized features such as singularities or shocks. In addition to describing the basic method and related theory, this article numerically demonstrates the method´s performance and utility on 2D and 3D problems
Keywords :
differential equations; finite element analysis; adaptive finite element method; adaptively refined grids; multigrid methods; partial differential equations; Boundary conditions; Finite element methods; Grid computing; Mesh generation; Multigrid methods; Partial differential equations; Piecewise linear approximation; Space heating; Space technology; Testing; adaptive mesh refinement; elliptic partial differential equations; finite element method; multigrid method;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2006.116
