Convergence analysis for finite element approximation to an inverse Cauchy problem

From MaRDI portal
Publication:5486426

DOI10.1088/0266-5611/22/4/005zbMath1112.49027OpenAlexW2019601370MaRDI QIDQ5486426

Abdelkrim Chakib, Abdeljalil Nachaoui

Publication date: 6 September 2006

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/22/4/005




Related Items (36)

Convergence study and regularizing property of a modified Robin–Robin method for the Cauchy problem in linear elasticityRecovery the interior temperature of a nonhomogeneous elliptic equation from boundary dataMathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticityStable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficientsA new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear sourceRegularization of the noisy Cauchy problem solution approximated by an energy-like methodRadial basis function neural network (RBFNN) approximation of Cauchy inverse problems of the Laplace equationAccelerated iterative algorithms for the Cauchy problem in steady-state anisotropic heat conductionSome novel numerical techniques for an inverse Cauchy problemA Tikhonov regularization method for Cauchy problem based on a new relaxation modelA CCBM-based generalized GKB iterative regularization algorithm for inverse Cauchy problemsStabilised Finite Element Methods for Ill-Posed Problems with Conditional StabilityHarmonic measures and numerical computation of Cauchy problems for Laplace equationsA meshless method for solving the nonlinear inverse Cauchy problem of elliptic type equation in a doubly-connected domainSolving a nonlinear inverse Robin problem through a linear Cauchy problemMisfit functional for recovering data in 2D electrocardiography problemsA novel mixed group preserving scheme for the inverse Cauchy problem of elliptic equations in annular domainsConstitutive law gap functionals for solving the Cauchy problem for linear elliptic PDEA weak Galerkin least squares finite element method of Cauchy problem for Poisson equationLow Regularity Primal-Dual Weak Galerkin Finite Element Methods for Ill-Posed Elliptic Cauchy ProblemsA homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shellOn a fixed point study of an inverse problem governed by Stokes equationArtificial neural network approximations of Cauchy inverse problem for linear PDEsNumerical analysis of an energy-like minimization method to solve the Cauchy problem with noisy dataPrimal-dual weak Galerkin finite element methods for elliptic Cauchy problemsAdaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problemA non-typical Lie-group integrator to solve nonlinear inverse Cauchy problem in an arbitrary doubly-connected domainLocalized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equationsWeighted reproducing kernel collocation method based on error analysis for solving inverse elasticity problemsNumerical analysis of an energy-like minimization method to solve a parabolic Cauchy problem with noisy dataA stabilized nonconforming finite element method for the elliptic Cauchy problemAnalysis of the ECGI inverse problem solution with respect to the measurement boundary size and the distribution of noiseA coupled complex boundary method for the Cauchy problemOn numerical approaches for solving an inverse Cauchy Stokes problemPDE-constrained optimal control approach for the approximation of an inverse Cauchy problemThe Cauchy problem for a nonlinear elliptic equation: Nash-game approach and application to image inpainting




This page was built for publication: Convergence analysis for finite element approximation to an inverse Cauchy problem