Source and metric estimation in the eikonal equation using optimization on a manifold

DOI10.3934/ipi.2022050OpenAlexW4225342655MaRDI QIDQ2697372

Jérôme Fehrenbach, Lisl Weynans

Publication date: 18 April 2023

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2022050

zbMATH Keywords

inverse problemeikonal equationmanifold optimizationsource locationelectrocardiographic imaging

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Sensitivity analysis for optimization problems on manifolds (49Q12) Hamilton-Jacobi equations (35F21)

Uses Software

• Gmsh

Cites Work

• Unnamed Item
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• A discrete Laplace-Beltrami operator for simplicial surfaces
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Computing geodesic paths on manifolds
• User’s guide to viscosity solutions of second order partial differential equations
• Globally optimal direction fields
• Diffusion processes in a small time interval
• Riemannian geometry.
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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