Discontinuous Galerkin and C0-IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization
DOI10.1051/m2an/2022017zbMath1496.65219arXiv2104.14450OpenAlexW3159931645MaRDI QIDQ5066871
Timo Sprekeler, Ellya L. Kawecki
Publication date: 31 March 2022
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.14450
homogenizationCordes conditionnonconforming finite element methodsnondivergence-form elliptic PDEHamilton-Jacobi-Bellman and HJB-Isaacs equations
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) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Strong solutions to PDEs (35D35)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Discontinuous Galerkin finite element methods for time-dependent Hamilton-Jacobi-Bellman equations with Cordes coefficients
- Singular solutions of Hessian fully nonlinear elliptic equations
- Approximate homogenization of convex nonlinear elliptic PDEs
- Singular perturbations of nonlinear degenerate parabolic pDEs: A general convergence result
- Approximate homogenization of fully nonlinear elliptic PDEs: estimates and numerical results for Pucci type equations
- Min-max formulas and other properties of certain classes of nonconvex effective Hamiltonians
- Adaptive \(C^0\) interior penalty methods for Hamilton-Jacobi-Bellman equations with cordes coefficients
- Discrete Miranda-Talenti estimates and applications to linear and nonlinear PDEs
- Multiscale problems and homogenization for second-order Hamilton-Jacobi equations
- Nonclassical solutions of fully nonlinear elliptic equations
- Controlled Markov processes and viscosity solutions
- Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations
- Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients
- A Remark on Bony Maximum Principle
- A New Approximation for Effective Hamiltonians for Homogenization of a class of Hamilton–Jacobi Equations
- Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
- Discontinuous Galerkin methods for periodic boundary value problems
- HOMOGENIZATION OF HAMILTON–JACOBI EQUATIONS: NUMERICAL METHODS
- Homogenization of Metric Hamilton–Jacobi Equations
- Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
- A Finite Element Like Scheme for Integro-Partial Differential Hamilton–Jacobi–Bellman Equations
- Some Convergence Results for Howard's Algorithm
- Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs
- On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
- Periodic homogenisation of certain fully nonlinear partial differential equations
- User’s guide to viscosity solutions of second order partial differential equations
- On ergodic stochastic control
- A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
- Viscosity Solutions Methods for Singular Perturbations in Deterministic and Stochastic Control
- Numerical analysis of strongly nonlinear PDEs
- A Simple Explicit Operator-Splitting Method for Effective Hamiltonians
- Numerical approximation of planar oblique derivative problems in nondivergence form
- Mixed Finite Element Approximation of the Hamilton--Jacobi--Bellman Equation with Cordes Coefficients
- A Discontinuous Galerkin Finite Element Method fOR Uniformly Elliptic Two Dimensional Oblique Boundary-Value Problems
- Computing the Effective Hamiltonian Using a Variational Approach
- L2(Hγ1) Finite Element Convergence for Degenerate Isotropic Hamilton–Jacobi–Bellman Equations
- An approximation scheme for the optimal control of diffusion processes
- The perturbed test function method for viscosity solutions of nonlinear PDE
- On viscosity solutions of fully nonlinear equations with measurable ingredients
- On the Convergence of Finite Element Methods for Hamilton--Jacobi--Bellman Equations
- Unified analysis of discontinuous Galerkin andC0-interior penalty finite element methods for Hamilton–Jacobi–Bellman and Isaacs equations
- Mixed Finite Element Approximation of Periodic Hamilton--Jacobi--Bellman Problems With Application to Numerical Homogenization
- Finite element approximation of elliptic homogenization problems in nondivergence-form
- Optimal Convergence Rates for Elliptic Homogenization Problems in Nondivergence-Form: Analysis and Numerical Illustrations
- Finite element approximation of the Isaacs equation
- A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains
- Convergent Semi-Lagrangian Methods for the Monge--Ampère Equation on Unstructured Grids
- Ergodic Problems in Differential Games
- Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients
This page was built for publication: Discontinuous Galerkin and C0-IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization
