Sampling and reconstruction of solutions to the Helmholtz equation

zbMath1346.94073arXiv1301.0237MaRDI QIDQ2817267

Gilles Chardon, L. Daudet, Albert Cohen

Publication date: 30 August 2016

Full work available at URL: https://arxiv.org/abs/1301.0237

zbMATH Keywords

interpolationregularizationHelmholtz equationleast squares

Mathematics Subject Classification ID

Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Sampling theory in information and communication theory (94A20)

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Real time parameter identification and solution reconstruction from experimental data using the proper generalized decomposition ⋮ Stable approximation of Helmholtz solutions in the disk by evanescent plane waves ⋮ Low-complexity computation of plate eigenmodes with Vekua approximations and the method of particular solutions ⋮ A Localization Strategy for Data Assimilation; Application to State Estimation and Parameter Estimation ⋮ PBDW State Estimation: Noisy Observations; Configuration-Adaptive Background Spaces; Physical Interpretations ⋮ Optimal weighted least-squares methods

Uses Software

• SPGL1

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