Adaptive Finite Element Approximation for a Class of Parameter Estimation Problems

DOI10.4208/jcm.2009.10-m1016zbMath1240.65321OpenAlexW4250329609MaRDI QIDQ3110358

Yanzhen Chang, Karl Kunisch, Ruo Li, Ning-Ning Yan, Wen-bin Liu

Publication date: 27 January 2012

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/jcm.2009.10-m1016

zbMATH Keywords

algorithmsnumerical resultsparameter estimationinverse problemfinite element approximationadaptive finite element methodsa posteriori error estimate

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (12)

Superconvergence of triangular Raviart-Thomas mixed finite element methods for a bilinear constrained optimal control problem ⋮ Adaptive finite element approximation for a class of parameter estimation problems ⋮ A posteriori error estimates for an optimal control problem with a bilinear state equation ⋮ A stabilized mixed finite element approximation of bilinear state optimal control problems ⋮ Finite element approximation for a class of parameter estimation problems ⋮ BDF2 schemes for optimal parameter control problems governed by bilinear parabolic equations ⋮ Second-order time discretization for reaction coefficient estimation of bilinear parabolic optimization problem with Neumann boundary conditions ⋮ An efficient NFEM for optimal control problems governed by a bilinear state equation ⋮ A priori error estimates of mixed finite element methods for general linear hyperbolic convex optimal control problems ⋮ \(L^{\infty}\)-error estimates of rectangular mixed finite element methods for bilinear optimal control problem ⋮ New \textit{a posteriori} error estimates for \textit{hp} version of finite element methods of nonlinear parabolic optimal control problems ⋮ Residual-based \textit{a posteriori} error estimates for \textit{hp} finite element solutions of semilinear Neumann boundary optimal control problems

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