Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem

DOI10.1016/j.amc.2018.09.069zbMath1429.65270OpenAlexW2902567828WikidataQ128840477 ScholiaQ128840477MaRDI QIDQ2008479

Abdelkrim Chakib, A. Bergam, M. Nachaoui, Abdeljalil Nachaoui

Publication date: 25 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.09.069

zbMATH Keywords

a posteriori analysisadaptive finite element meshalternating iterative methodCauchy inverse problemlocal errors indicators

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Discrete approximations in optimal control (49M25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography ⋮ Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticity ⋮ An efficient D-N alternating algorithm for solving an inverse problem for Helmholtz equation ⋮ An effective relaxed alternating procedure for Cauchy problem connected with Helmholtz Equation ⋮ Some novel numerical techniques for an inverse Cauchy problem ⋮ Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations ⋮ A posteriori error estimates for a finite volume scheme applied to a nonlinear reaction-diffusion equation in population dynamics

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