An interior penalty method for distributed optimal control problems governed by the biharmonic operator

DOI10.1016/j.camwa.2014.08.012zbMath1361.49011OpenAlexW1968725816MaRDI QIDQ2397301

Thirupathi Gudi, Kamana Porwal, Neela Nataraj

Publication date: 22 May 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.08.012

zbMATH Keywords

biharmonic operator\textit{a priori} error estimatedistributed optimal control problems\textit{a posteriori} error estimate\(C^0\) interior penalty method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations ⋮ Galerkin spectral approximation for optimal control problem of a fourth-order equation with L²-norm control constraint ⋮ Spectral approximation for optimal control problems governed by first bi‐harmonic equation ⋮ A \(C^0\) interior penalty method for the Dirichlet control problem governed by biharmonic operator ⋮ Preface ⋮ Morley FEM for a distributed optimal control problem governed by the von Kármán equations ⋮ A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC⁰IP Methods ⋮ \(hp\) spectral element approximation for integral state constrained optimal control problems governed by harmonic equations ⋮ Finite element methods: research in India over the last decade

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