Global superconvergence of finite element methods for parabolic inverse problems

Hossein Azari; Shu Hua Zhang

Applications of Mathematics (2009)

  • Volume: 54, Issue: 3, page 285-294
  • ISSN: 0862-7940

Abstract

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In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.

How to cite

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Azari, Hossein, and Zhang, Shu Hua. "Global superconvergence of finite element methods for parabolic inverse problems." Applications of Mathematics 54.3 (2009): 285-294. <http://eudml.org/doc/37821>.

@article{Azari2009,
abstract = {In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.},
author = {Azari, Hossein, Zhang, Shu Hua},
journal = {Applications of Mathematics},
keywords = {inverse problem; global superconvergence; finite element method; inverse problem; global superconvergence; finite element method},
language = {eng},
number = {3},
pages = {285-294},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global superconvergence of finite element methods for parabolic inverse problems},
url = {http://eudml.org/doc/37821},
volume = {54},
year = {2009},
}

TY - JOUR
AU - Azari, Hossein
AU - Zhang, Shu Hua
TI - Global superconvergence of finite element methods for parabolic inverse problems
JO - Applications of Mathematics
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 3
SP - 285
EP - 294
AB - In this article we transform a large class of parabolic inverse problems into a nonclassical parabolic equation whose coefficients consist of trace type functionals of the solution and its derivatives subject to some initial and boundary conditions. For this nonclassical problem, we study finite element methods and present an immediate analysis for global superconvergence for these problems, on basis of which we obtain a posteriori error estimators.
LA - eng
KW - inverse problem; global superconvergence; finite element method; inverse problem; global superconvergence; finite element method
UR - http://eudml.org/doc/37821
ER -

References

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