Mixed Finite Element Approximation of Periodic Hamilton--Jacobi--Bellman Problems With Application to Numerical Homogenization

DOI10.1137/20M1371397zbMath1503.65293arXiv2010.01647OpenAlexW3089838140MaRDI QIDQ5006467

Timo Sprekeler, Endre Süli, Dietmar Gallistl

Publication date: 16 August 2021

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.01647

zbMATH Keywords

Hamilton-Jacobi-Bellman equationmixed finite element methodshomogenizationcordes conditionnondivergence-form elliptic PDE

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Error bounds for boundary value problems involving PDEs (65N15) Nonlinear elliptic equations (35J60) 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) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Hamilton-Jacobi equations (35F21)

Related Items (5)

Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method ⋮ Discontinuous Galerkin and C⁰-IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization ⋮ Homogenization of Nondivergence-Form Elliptic Equations with Discontinuous Coefficients and Finite Element Approximation of the Homogenized Problem ⋮ Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations ⋮ Approximation of optimal control surfaces for \(2\times 2\) skew-symmetric evolutionary game dynamics

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