An efficient p-version multigrid solver for fast hierarchical vector finite element analysis

Authors:
Y. J. Sheng;R. S. Chen;X. W. Ping
Affiliations:
Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu Province, China;Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu Province, China;Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu Province, China
Venue:
Finite Elements in Analysis and Design
Year:
2008

Citing 4
Cited 1

Multi-p methods: iterative algorithms for the p-version of the finite element analysis

SIAM Journal on Scientific Computing
Multigrid Method for Maxwell's Equations

SIAM Journal on Numerical Analysis
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems
Algebraic multigrid for higher-order finite elements

Journal of Computational Physics

Algebraic Multigrid for High-Order Hierarchical $H(curl)$ Finite Elements

SIAM Journal on Scientific Computing

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Abstract

In this paper, a kind of p-type multigrid (MG) method is applied to solve the large sparse linear systems arising from the application of hierarchical tangential vector finite element method (TVFEM) for the analysis of electromagnetic devices. Several waveguide problems are analyzed and our numerical results show that the p-type MG method can greatly save iterations and CPU time when compared with the preconditioned conjugate gradient iterative methods.