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A priori error estimates for finite element discretizations of a shape optimization problem.
- Source :
-
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN) . Nov2013, Vol. 47 Issue 6, p1733-1763. 31p. - Publication Year :
- 2013
-
Abstract
- In this paper we consider a model shape optimization problem. The state variable solves an elliptic equation on a domain with one part of the boundary described as the graph of a control function. We prove higher regularity of the control and develop a priori error analysis for the finite element discretization of the shape optimization problem under consideration. The derived a priori error estimates are illustrated on two numerical examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 28227840
- Volume :
- 47
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN)
- Publication Type :
- Academic Journal
- Accession number :
- 101378769
- Full Text :
- https://doi.org/10.1051/m2an/2013086