An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations
type: Item
instance of: scholarly article
title: An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations
zbMATH Open document ID: 1175.65135
author: Bojan Popov
author: Jean-Luc Guermond
published in: Communications in Mathematical Sciences
publication date: 2009-06-23T00:00:00Z
review text: The authors construct a sequence of approximate solutions to some one-dimensional stationary Hamilton-Jacobi equations by using continuous finite elements and by minimizing the residual in the Lebesgue space with \(p=1\). For a class of convex Hamiltonians, they prove the convergence of the proposed algorithm. Some numerical examples are carried out.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 49L25
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 5568582
zbMATH Keywords: finite element method
zbMATH Keywords: best approximation
zbMATH Keywords: viscosity solutions
zbMATH Keywords: eikonal equation
zbMATH Keywords: Hamilton-Jacobi equations
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: cms.2009.v7.n1.a11
OpenAlex ID: W1984066099
DOI: 10.4310/CMS.2009.V7.N1.A11
description: scientific article; zbMATH DE number 5568582