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A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods

A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods
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Year:    2015

Numerical Mathematics: Theory, Methods and Applications, Vol. 8 (2015), Iss. 3 : pp. 383–405

Abstract

In this paper, a multilevel correction scheme is proposed to solve the Steklov eigenvalue problem by nonconforming finite element methods. With this new scheme, the accuracy of eigenpair approximations can be improved after each correction step which only needs to solve a source problem on finer finite element space and an Steklov eigenvalue problem on the coarsest finite element space. This correction scheme can increase the overall efficiency of solving eigenvalue problems by the nonconforming finite element method. Furthermore, as same as the direct eigenvalue solving by nonconforming finite element methods, this multilevel correction method can also produce the lower-bound approximations of the eigenvalues.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/nmtma.2015.m1334

Numerical Mathematics: Theory, Methods and Applications, Vol. 8 (2015), Iss. 3 : pp. 383–405

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:   

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