A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
From MaRDI portal
Publication:349055
DOI10.1016/j.jcp.2014.02.041zbMath1349.65445arXiv1311.1867OpenAlexW4255678539MaRDI QIDQ349055
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.1867
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for nonlinear first-order PDEs (35F25) Hamilton-Jacobi equations (35F21)
Related Items
A sixth-order finite difference WENO scheme for Hamilton–Jacobi equations ⋮ An adaptive sparse grid local discontinuous Galerkin method for Hamilton-Jacobi equations in high dimensions ⋮ A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations ⋮ A kernel based high order ``explicit unconditionally stable scheme for time dependent Hamilton-Jacobi equations ⋮ Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations ⋮ Analytical mechanics methods in finite element analysis of multibody elastic system ⋮ An alternative formulation of discontinous Galerkin schemes for solving Hamilton-Jacobi equations ⋮ Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations ⋮ A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes ⋮ Construction of convergent high order schemes for time dependent Hamilton-Jacobi equations ⋮ High-order weighted compact nonlinear scheme for one- and two-dimensional Hamilton-Jacobi equations ⋮ A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations ⋮ Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes ⋮ High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ Arc length-based WENO scheme for Hamilton-Jacobi equations
Cites Work
- Unnamed Item
- Local-structure-preserving discontinuous Galerkin methods with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations
- A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations
- A central discontinuous Galerkin method for Hamilton-Jacobi equations
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations
- A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
- Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- A discontinuous Galerkin scheme for front propagation with obstacles
- Limiters for high-order discontinuous Galerkin methods
- An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. I: The one-dimensional steady state case
- Strong Stability-Preserving High-Order Time Discretization Methods
- Survey on discontinuous Galerkin methods for Hamilton-Jacobi equations
- A Discontinuous Galerkin Solver for Front Propagation
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes
- High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
- Mathematics and Computation in Imaging Science and Information Processing
- Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes
