Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method
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Publication:2134757
DOI10.1016/j.jcp.2021.110828OpenAlexW3213955059MaRDI QIDQ2134757
Hung V. Tran, Michael V. Klibanov, Loc Hoang Nguyen
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.05870
numerical methodsboundary value problemsHamilton-Jacobi equationsviscosity solutionsgradient descent methodconvexification method
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Miscellaneous topics in partial differential equations (35Rxx) General first-order partial differential equations and systems of first-order partial differential equations (35Fxx)
Related Items (5)
The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data ⋮ The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data ⋮ Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data ⋮ The Carleman convexification method for Hamilton-Jacobi equations ⋮ A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications
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