An Explicit Update Scheme for Inverse Parameter and Interface Estimation of Piecewise Constant Coefficients in Linear Elliptic PDEs

DOI10.1137/110834500zbMath1266.65184OpenAlexW2019130283MaRDI QIDQ5300132

Jan Hegemann, Casey L. Richardson, Alejandro Cantarero, Joseph M. Teran

Publication date: 26 June 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/058ea5e8dcda64888621ae8c6202fe0ddd67ac22

zbMATH Keywords

linear elasticityinverse problemsPoisson's equationlevel set methodelliptic problemsaugmented Lagrangian methodinverse geometric problemsinverse parameter estimation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) 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)

Related Items (4)

Numerical reconstruction of a discontinuous diffusive coefficient in variable-order time-fractional subdiffusion ⋮ Error estimates for a partially penalized immersed finite element method for elasticity interface problems ⋮ Recovering elastic inclusions by shape optimization methods with immersed finite elements ⋮ A fixed mesh method with immersed finite elements for solving interface inverse problems

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