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Published in: Journal of Scientific Computing 1/2016

17-03-2015

The Highest Superconvergence of the Tri-linear Element for Schr\(\ddot{\text {o}}\)dinger Operator with Singularity

Authors: Wenming He, Zhimin Zhang, Ren Zhao

Published in: Journal of Scientific Computing | Issue 1/2016

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Abstract

In this paper, the eigenvalues for Schr\(\ddot{\text {o}}\)dinger operator with singularity are analyzed. A special piecewise uniform rectangular partition is constructed and it has been proven that, under this partition, the tri-linear rectangular finite element method has the highest possible superconvergence rate for eigenvalue.

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Metadata
Title
The Highest Superconvergence of the Tri-linear Element for Schrdinger Operator with Singularity
Authors
Wenming He
Zhimin Zhang
Ren Zhao
Publication date
17-03-2015
Publisher
Springer US
Published in
Journal of Scientific Computing / Issue 1/2016
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-015-0007-6

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