Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems

Lijuan Wang; Jun Zou

doi:10.3934/dcdsb.2010.14.1641

Article Contents

2010, Volume 14, Issue 4: 1641-1670. Doi: 10.3934/dcdsb.2010.14.1641

This issue Previous Article The optimal control to restore the periodic property of a linear evolution system with small perturbation Next Article Dynamics of three-component reversible Gray-Scott model

Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems

Lijuan Wang^1, and
Jun Zou^2,

1.
Department of Mathematics, Wuhan University, Wuhan 430072
2.
Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Received: October 31, 2009

Revised: March 31, 2010

Published: May 2010

Abstract Related Papers Cited by

Abstract

This work is concerned with the finite element solutions for parameter identifications in second order elliptic and parabolic systems. The $L^2$- and energy-norm error estimates of the finite element solutions are established in terms of the mesh size, time step size, regularization parameter and noise level.

Keywords:

Mathematics Subject Classification: Primary: 35R30, 65M30; Secondary: 65N15.

Citation:

Article Metrics

HTML views() PDF downloads(126) Cited by(0)

Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Error estimates of finite element methods for parameter identifications in elliptic and parabolic systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content