Adaptive hybrid finite element/difference methods: application to inverse elastic scattering

DOI10.1515/156939403322759660zbMath1055.74022OpenAlexW4232328912MaRDI QIDQ4460726

Larisa Beilina

Publication date: 29 March 2004

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939403322759660

zbMATH Keywords

optimizationa posteriori error estimatequasi-Newton methodLamé coefficientsscattering of elastic wavesmesh refinement algorithm

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Inverse problems for waves in solid mechanics (74J25) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (2)

Fast intersections on nested tetrahedrons (FINT): An algorithm for adaptive finite element based distributed parameter estimation ⋮ A Posteriori Error Estimate in the Lagrangian Setting for an Inverse Problem Based on a New Formulation of Maxwell’s System

Uses Software

• L-BFGS

Cites Work

• On the control of strongly nonlinear hyperbolic systems
• Finite element analysis of acoustic scattering
• An optimal control approach to a posteriori error estimation in finite element methods
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
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