Analysis of the Full Isoparametric Multigrid Algorithm for a Second Order Elliptic Problem

摘要

A second order elliptic problem is investigated in domains with complex geometry. The sequence of nonnestedfinite element triangulations is generated by higher order curved elements. Convergence analysis of the full nonnestedmultigrid algorithm is done on the basis of a pure isoparametric approach. A numerical example supporting the consideredtheory is presented.