On gradient-type optimization method utilizing mixed finite element approximation for optimal boundary control problem governed by bi-harmonic equation

DOI10.1016/J.AMC.2006.07.142zbMath1125.65058OpenAlexW1996892566MaRDI QIDQ884605

Bingjie Li, San-Yang Liu

Publication date: 6 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.142

zbMATH Keywords

error estimateoptimal boundary controlmixed finite elementbi-harmonic equationgradient-type optimization method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (3)

An interior penalty method for distributed optimal control problems governed by the biharmonic operator ⋮ Galerkin spectral approximation for optimal control problem of a fourth-order equation with L²-norm control constraint ⋮ Ciarlet-Raviart mixed finite element approximation for an optimal control problem governed by the first bi-harmonic equation

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