A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems

Lin, Qun; Xie, Hehu

  • Applications of Mathematics 2012, Publisher: Institute of Mathematics AS CR(Prague), page 134-143

Abstract

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Adaptive finite element method based on multilevel correction scheme is proposed to solve Steklov eigenvalue problems. In this method, each adaptive step involves solving associated boundary value problems on the adaptive partitions and small scale eigenvalue problems on the coarsest partitions. Solving eigenvalue problem in the finest partition is not required. Hence the efficiency of solving Steklov eigenvalue problems can be improved to the similar efficiency of the adaptive finite element method for the associated boundary value problems. The efficiency of the proposed method is also investigated by a numerical experiment.

How to cite

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Lin, Qun, and Xie, Hehu. "A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 134-143. <http://eudml.org/doc/287774>.

@inProceedings{Lin2012,
abstract = {Adaptive finite element method based on multilevel correction scheme is proposed to solve Steklov eigenvalue problems. In this method, each adaptive step involves solving associated boundary value problems on the adaptive partitions and small scale eigenvalue problems on the coarsest partitions. Solving eigenvalue problem in the finest partition is not required. Hence the efficiency of solving Steklov eigenvalue problems can be improved to the similar efficiency of the adaptive finite element method for the associated boundary value problems. The efficiency of the proposed method is also investigated by a numerical experiment.},
author = {Lin, Qun, Xie, Hehu},
booktitle = {Applications of Mathematics 2012},
keywords = {multilevel correction; adaptive finite element method; Steklov eigenvalue problem; numerical experiment},
location = {Prague},
pages = {134-143},
publisher = {Institute of Mathematics AS CR},
title = {A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems},
url = {http://eudml.org/doc/287774},
year = {2012},
}

TY - CLSWK
AU - Lin, Qun
AU - Xie, Hehu
TI - A multilevel correction type of adaptive finite element method for Steklov eigenvalue problems
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 134
EP - 143
AB - Adaptive finite element method based on multilevel correction scheme is proposed to solve Steklov eigenvalue problems. In this method, each adaptive step involves solving associated boundary value problems on the adaptive partitions and small scale eigenvalue problems on the coarsest partitions. Solving eigenvalue problem in the finest partition is not required. Hence the efficiency of solving Steklov eigenvalue problems can be improved to the similar efficiency of the adaptive finite element method for the associated boundary value problems. The efficiency of the proposed method is also investigated by a numerical experiment.
KW - multilevel correction; adaptive finite element method; Steklov eigenvalue problem; numerical experiment
UR - http://eudml.org/doc/287774
ER -

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