Convergent semi-explicit scheme to a non-linear eikonal system
type: Item
instance of: scholarly article
title: Convergent semi-explicit scheme to a non-linear eikonal system
zbMATH Open document ID: 1502.65053
author: Marya Al Zohbi
author: Ahmad El Hajj
author: Mustapha Jazar
published in: BIT
publication date: 2022-11-22T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 35F50
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35A23
zbMATH DE Number: 7621807
zbMATH Keywords: Hamilton-Jacobi equations
zbMATH Keywords: nonlinear eikonal system
zbMATH Keywords: finite difference scheme
zbMATH Keywords: viscosity solution
zbMATH Keywords: discrete gradient estimates
MaRDI profile type: Publication
full work available at URL: s10543-022-00933-z
OpenAlex ID: W4285014176
cites work: Global existence to a diagonal hyperbolic system for any BV initial data
cites work: Convergence of a first order scheme for a nonlocal eikonal equation
cites work: A convergent scheme for a nonlocal Hamilton Jacobi equation modelling dislocation dynamics
cites work: Q4954179
cites work: Viscosity solutions of Hamilton-Jacobi equations
cites work: Exit Time Problems in Optimal Control and Vanishing Viscosity Method
cites work: Comparison principle for Dirichlet-type Hamilton-Jacobi equations and singular perturbations of degenerated elliptic equations
cites work: Q3355178
cites work: Front Propagation and Phase Field Theory
cites work: Vanishing viscosity solutions of nonlinear hyperbolic systems
cites work: Global existence results for eikonal equation with \(BV\) initial data
cites work: Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems
cites work: Time-homogenization of a first order system arising in the modelling of the dynamics of dislocation densities
cites work: VISCOSITY SOLUTIONS OF HAMILTON–JACOBI EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Viscosity Solutions of Hamilton-Jacobi Equations
cites work: Two Approximations of Solutions of Hamilton-Jacobi Equations
cites work: A convergent scheme for a non-local coupled system modelling dislocations densities dynamics
cites work: Uniqueness results for diagonal hyperbolic systems with large and monotone data
cites work: GLOBAL CONTINUOUS SOLUTIONS FOR DIAGONAL HYPERBOLIC SYSTEMS WITH LARGE AND MONOTONE DATA
cites work: Representation formulas for solutions of the HJI equations with discontinuous coefficients and existence of value in differential games
cites work: Optimality principles and uniqueness for Bellman equations of unbounded control problems with discontinuous running cost
cites work: Solutions in the large for nonlinear hyperbolic systems of equations
cites work: Perron's method for monotone systems of second-order elliptic partial differential equations
cites work: Viscosity solutions for monotone systems of second–order elliptic PDES
cites work: Q3978270
cites work: Q4421702
cites work: Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form
cites work: Existence theory for nonlinear hyperbolic systems in nonconservative form
cites work: GRAPH SOLUTIONS OF NONLINEAR HYPERBOLIC SYSTEMS
cites work: Finite Volume Methods for Hyperbolic Problems
cites work: Gradient Entropy Estimate and Convergence of a Semi-Explicit Scheme for Diagonal Hyperbolic Systems
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
DOI: 10.1007/S10543-022-00933-Z
description: scientific article; zbMATH DE number 7621807