Title :
Non-Uniform Refinement and Preconditioning of hp Multi-Level Finite Element Methods
Author :
Hil, V. ; Loesch, M. ; Ingelström, P. ; Dyczij-Edlinger, R.
Author_Institution :
Univ. des Saarlan-des, Saarbrucken
Abstract :
This paper presents an efficient finite element method for the time-harmonic Maxwell equations. It is based on unstructured tetrahedral meshes and uses a multi-level solver that sweeps through a nested family of finite element spaces. To handle non-uniform refinement levels efficiently, we employ a subdomain method that applies smoothing operations to the corresponding partial meshes only.
Keywords :
Maxwell equations; mesh generation; smoothing methods; finite element spaces; hp multilevel finite element methods; multilevel solver; nonuniform refinement; preconditioning; smoothing operations; time-harmonic Maxwell equations; unstructured tetrahedral meshes; Electric potential; Finite difference methods; Finite element methods; Gaussian approximation; Geometry; Maxwell equations; Partial differential equations; Polynomials; Postal services; Smoothing methods;
Conference_Titel :
Electromagnetics in Advanced Applications, 2007. ICEAA 2007. International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-4244-0767-5
Electronic_ISBN :
978-1-4244-0767-5
DOI :
10.1109/ICEAA.2007.4387282
