The Open Numerical Methods Journal

2011, 3 : 7-11
Published online 2011 August 19. DOI: 10.2174/1876389801103010007
Publisher ID: TONUMJ-3-7

Todor D. Todorov
Technical University, 5300 Gabrovo, Bulgaria

ABSTRACT

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

Keywords:

Nonnested multigrid method, isoparametric approach, lipschitz-continuous boundary.