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An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations

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Publication:1025728
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DOI10.4310/CMS.2009.v7.n1.a11zbMath1175.65135OpenAlexW1984066099MaRDI QIDQ1025728

Bojan Popov, Jean-Luc Guermond

Publication date: 23 June 2009

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2009.v7.n1.a11


zbMATH Keywords

algorithmfinite element methodnumerical examplesHamilton-Jacobi equationsbest approximationeikonal equationviscosity solutions


Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)


Related Items (3)

Gibbs phenomena for Lq-best approximation in finite element spaces ⋮ Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation ⋮ A Compressive Spectral Collocation Method for the Diffusion Equation Under the Restricted Isometry Property




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