A Framework for the Adaptive Finite Element Solution of Large-Scale Inverse Problems

DOI10.1137/070690560zbMath1178.65133OpenAlexW2033172414WikidataQ60708799 ScholiaQ60708799MaRDI QIDQ3648598

Wolfgang Bangerth

Publication date: 27 November 2009

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

Full work available at URL: https://semanticscholar.org/paper/2b49a65a6747d73418ac87862e2a088cd791921d

zbMATH Keywords

algorithmsparameter estimationnumerical examplesinverse problemsPoisson equationmesh refinementadaptive finite elementsoptical tomographynonlinear iterationsNewton method: large-scale inverse problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Uses Software

• deal.ii

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