Adaptive FEM with Relaxation for a Hyperbolic Coefficient Inverse Problem

DOI10.1007/978-1-4614-7816-4_8zbMath1278.65141OpenAlexW2164890804MaRDI QIDQ2863539

Michael V. Klibanov, Larisa Beilina

Publication date: 22 November 2013

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

Full work available at URL: https://doi.org/10.1007/978-1-4614-7816-4_8

zbMATH Keywords

algorithmglobal convergencefinite element methodCauchy problemnumerical examplesacoustic wave equationa posteriori error estimatemesh refinementhyperbolic coefficient inverse problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order hyperbolic equations (35L15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (1)

Adaptive mesh techniques based on a posteriori error estimates for an inverse Cauchy problem

Uses Software

• L-BFGS

Cites Work

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