The Carleman convexification method for Hamilton-Jacobi equations (Q6202614)

scientific article; zbMATH DE number 7824628

Language	Label	Description	Also known as
English	The Carleman convexification method for Hamilton-Jacobi equations	scientific article; zbMATH DE number 7824628

Statements

instance of

scholarly article

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title

The Carleman convexification method for Hamilton-Jacobi equations (English)

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26 March 2024

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full work available at URL

https://arxiv.org/abs/2206.09824

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zbMATH Keywords

numerical methods

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Carleman estimate

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Hamilton-Jacobi equations

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viscosity solutions

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vanishing viscosity process

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MaRDI profile type

Publication

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cites work

Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes

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Numerical Discretization of Boundary Conditions for First Order Hamilton--Jacobi Equations

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Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs

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Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

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Viscosity solutions of Hamilton-Jacobi equations

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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

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High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations

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Convergence of a semi-discretization scheme for the Hamilton-Jacobi equation: a new approach with the adjoint method

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Error estimates for the approximation of the effective Hamiltonian

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Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations

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Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations

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Viscosity Solutions of Hamilton-Jacobi Equations

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Two Approximations of Solutions of Hamilton-Jacobi Equations

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A mean field game inverse problem

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Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations

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The variational approach to shape from shading

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Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations

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Convexification and experimental data for a 3D inverse scattering problem with the moving point source

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Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source

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Global Convexity in a Three-Dimensional Inverse Acoustic Problem

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Q4392807

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Carleman weight functions for solving ill-posed Cauchy problems for quasilinear PDEs

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Travel time tomography with formally determined incomplete data in 3D

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Uniform Strict Convexity of a Cost Functional for Three-Dimensional Inverse Scattering Problem

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Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data

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Inverse problems and Carleman estimates. Global uniqueness, global convergence and experimental data

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Convexification for an inverse parabolic problem

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Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method

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Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data

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A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data

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The gradient descent method for the convexification to solve boundary value problems of quasi-linear PDEs and a coefficient inverse problem

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Controlling Propagation of Epidemics via Mean-Field Control

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Newton-type Gauss-Seidel Lax-Friedrichs high-order fast sweeping methods for solving generalized eikonal equations at large-scale discretization

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The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations

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Cloaking using complementary media for the Helmholtz equation and a three spheres inequality for second order elliptic equations

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An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method

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Filtered schemes for Hamilton-Jacobi equations: a simple construction of convergent accurate difference schemes

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Level set methods and dynamic implicit surfaces

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Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations

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High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations

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Unique Continuation for Elliptic Equations

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A fast sweeping method for static convex Hamilton-Jacobi equations

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Q4265376

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Ordered Upwind Methods for Static Hamilton--Jacobi Equations: Theory and Algorithms

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Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data

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Approximation schemes for viscosity solutions of Hamilton-Jacobi equations

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Hamilton–Jacobi Equations

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Q5497301

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Higher-order Hamilton dynamics and Hamilton-Jacobi divergence PDE

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Q2972737

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published in

Computers & Mathematics with Applications

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Identifiers

arXiv ID

2206.09824

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2024.02.021

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Sitelinks

Mathematics(1 entry)

mardi Publication:6202614