Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient

DOI10.1088/0266-5611/32/4/045008zbMath1339.65209arXiv1504.01935OpenAlexW3098485622MaRDI QIDQ2806032

Vanessa Styles, Charles M. Elliott, Klaus Deckelnick

Publication date: 13 May 2016

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

Full work available at URL: https://arxiv.org/abs/1504.01935

zbMATH Keywords

optimal controlconvergenceiterative algorithmlinear elliptic equationinverse problemregularizationfinite elementNeumann boundary conditionsnumerical experimentphase field

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) 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) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (9)

Preconditioning nonlocal multi-phase flow ⋮ Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem ⋮ A phase-field approach for detecting cavities via a Kohn–Vogelius type functional ⋮ An Extension of the Projected Gradient Method to a Banach Space Setting with Application in Structural Topology Optimization ⋮ Identification of cavities and inclusions in linear elasticity with a phase-field approach ⋮ On the Reconstruction of Cavities in a Nonlinear Model Arising from Cardiac Electrophysiology ⋮ Reconciling Bayesian and Perimeter Regularization for Binary Inversion ⋮ Binary recovery via phase field regularization for first-arrival traveltime tomography ⋮ Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system

Uses Software

• UMFPACK
• ALBERTA

This page was built for publication: Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient