An introduction to finite element methods for inverse coefficient problems in elliptic PDEs

DOI10.1365/s13291-021-00236-2OpenAlexW3134966345WikidataQ114054859 ScholiaQ114054859MaRDI QIDQ2232366

Bastian Harrach

Publication date: 5 October 2021

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00888

zbMATH Keywords

inverse problemsfinite element methodsfinitely many measurementspiecewise-constant coefficient

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01)

Related Items (7)

Monotonicity-based regularization for shape reconstruction in linear elasticity ⋮ Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming ⋮ Contact Adapting Electrode Model for Electrical Impedance Tomography ⋮ Series reversion in Calderón’s problem ⋮ The Calderón Problem with Finitely Many Unknowns is Equivalent to Convex Semidefinite Optimization ⋮ On some inverse problems of recovering sources in stationary convection-diffusion models ⋮ Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods

Uses Software

• Matlab

Cites Work

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