An Adaptive Hybrid FEM/FDM Method for an Inverse Scattering Problem in Scanning Acoustic Microscopy

DOI10.1137/050631252zbMath1104.65313OpenAlexW2042742321MaRDI QIDQ5470427

Larisa Beilina, Christian Clason

Publication date: 30 May 2006

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

Full work available at URL: https://semanticscholar.org/paper/65dbdcf94f566c7b8b9282fd567e7491c2bc005b

zbMATH Keywords

numerical examplesmedical imagingadaptive mesh refinementparameter identificationa posteriori error estimatoroptimal control problemacoustic wave equationquasi-Newton methodinverse scatteringadjoint methodtransient wave equationultrasound waveshybrid finite element/difference method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite difference methods applied to problems in fluid mechanics (76M20) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Existence theories for optimal control problems involving partial differential equations (49J20) Inverse problems in optimal control (49N45)

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Uses Software

• L-BFGS