A level set reduced basis approach to parameter estimation

DOI10.1016/j.crma.2011.10.020zbMath1269.65115OpenAlexW2040589253WikidataQ118178337 ScholiaQ118178337MaRDI QIDQ654540

Martin A. Grepl, Karen Veroy

Publication date: 28 December 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://publications.rwth-aachen.de/record/47333

zbMATH Keywords

numerical resultsparameter estimationinverse problemsHelmholtz equationlevel set methodreduced basis method

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (2)

Reduced Basis Methods for Uncertainty Quantification ⋮ A HJB-POD Approach to the Control of the Level Set Equation

Uses Software

• ToolboxLS

Cites Work

• Unnamed Item
• Certified reduced basis model validation: a frequentistic uncertainty framework
• The flexible, extensible and efficient toolbox of level set methods
• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

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