Paper Info
Title
A C0 interior penalty method for the Dirichlet control problem governed by biharmonic operator.
Abstract
An energy space based Dirichlet boundary control problem governed by biharmonic equation is investigated and subsequently a C0-interior penalty method is proposed and analyzed. An abstract a priori error estimate is derived under the minimal regularity conditions. The abstract error estimate guarantees optimal order of convergence whenever the solution is sufficiently regular. Further an optimal order L2-norm error estimate is derived. Numerical experiments illustrate the theoretical findings.
Year
DOI
Venue
2017
10.1016/j.cam.2016.12.005
J. Computational Applied Mathematics
Keywords
Field
DocType
65N30,65N15
Boundary value problem,Mathematical optimization,Optimal control,Mathematical analysis,Dirichlet's principle,Dirichlet boundary condition,Rate of convergence,Dirichlet distribution,Biharmonic equation,Mathematics,Penalty method
Journal
Volume
Issue
ISSN
317
C
0377-0427
Citations 
PageRank 
References 
0
0.34
17
Authors
2
Name
Order
Citations
PageRank
Sudipto Chowdhury130.75
Thirupathi Gudi213514.43