Adjoint-state method for hybridizable discontinuous Galerkin discretization, application to the inverse acoustic wave problem

DOI10.1016/j.cma.2020.113406zbMath1506.65193arXiv2002.06366OpenAlexW3005940108MaRDI QIDQ2021031

Florian Faucher, Otmar Scherzer

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.06366

zbMATH Keywords

inverse problemsadjoint-state methodhybridizable discontinuous Galerkin discretizationnonlinear iterative minimizationtime-harmonic inverse wave problems

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Euler equations (35Q31)

Related Items

Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation, A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems, Ultra-weak variational formulation for heterogeneous Maxwell problem in the context of high performance computing, Efficient and Accurate Algorithm for the Full Modal Green's Kernel of the Scalar Wave Equation in Helioseismology, Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty

Uses Software

• L-BFGS
• MUMPS

Cites Work

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