A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements

R. Rannacher; B. Vexler

doi:10.1137/040611100

A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements

R. Rannacher
, B. Vexler

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

We develop an a priori error analysis for the finite element Galerkin discretization of parameter identification problems. The state equation is given by an elliptic partial differential equation of second order with a finite number of unknown parameters, which are estimated using pointwise measurements of the state variable.

Original language	English
Pages (from-to)	1844-1863
Number of pages	20
Journal	SIAM Journal on Control and Optimization
Volume	44
Issue number	5
DOIs	https://doi.org/10.1137/040611100
State	Published - 2006
Externally published	Yes

Keywords

Finite elements
L -error estimates
Parameter identification
Pointwise measurements

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10.1137/040611100

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title = "A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements",

abstract = "We develop an a priori error analysis for the finite element Galerkin discretization of parameter identification problems. The state equation is given by an elliptic partial differential equation of second order with a finite number of unknown parameters, which are estimated using pointwise measurements of the state variable.",

keywords = "Finite elements, L -error estimates, Parameter identification, Pointwise measurements",

author = "R. Rannacher and B. Vexler",

year = "2006",

doi = "10.1137/040611100",

language = "English",

volume = "44",

pages = "1844--1863",

journal = "SIAM Journal on Control and Optimization",

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publisher = "Society for Industrial and Applied Mathematics Publications",

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T1 - A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements

AU - Rannacher, R.

AU - Vexler, B.

PY - 2006

Y1 - 2006

N2 - We develop an a priori error analysis for the finite element Galerkin discretization of parameter identification problems. The state equation is given by an elliptic partial differential equation of second order with a finite number of unknown parameters, which are estimated using pointwise measurements of the state variable.

AB - We develop an a priori error analysis for the finite element Galerkin discretization of parameter identification problems. The state equation is given by an elliptic partial differential equation of second order with a finite number of unknown parameters, which are estimated using pointwise measurements of the state variable.

KW - Finite elements

KW - L -error estimates

KW - Parameter identification

KW - Pointwise measurements

UR - https://www.scopus.com/pages/publications/33748925762

U2 - 10.1137/040611100

DO - 10.1137/040611100

M3 - Article

AN - SCOPUS:33748925762

SN - 0363-0129

VL - 44

SP - 1844

EP - 1863

JO - SIAM Journal on Control and Optimization

JF - SIAM Journal on Control and Optimization

IS - 5

ER -

A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements

Abstract

Keywords

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