An adaptive high-order discontinuous Galerkin method with error control for the Hamilton-Jacobi equations. Part I: The one-dimensional steady state case

Mathematics

• Error Control 83%
• Discontinuous Galerkin Method 75%
• Hamilton-Jacobi Equation 75%
• Tolerance 73%
• Higher Order 49%
• Mesh 41%
• A Posteriori Error Estimates 38%
• Approximate Solution 26%
• Iterative Solver 24%
• Adaptive Algorithm 20%
• Implicit Method 19%
• Runge-Kutta 19%
• Viscosity Solutions 18%
• Polynomial 18%
• Newton Methods 16%
• Framework 10%
• Model 5%

Physics & Astronomy

• Hamilton-Jacobi equation 100%
• Galerkin method 81%
• mesh 65%
• polynomials 41%
• Newton methods 30%
• estimates 27%
• viscosity 16%
• boundary conditions 16%

Engineering & Materials Science

• Galerkin methods 78%
• Polynomials 26%
• Newton-Raphson method 19%
• Adaptive algorithms 17%
• Viscosity 14%
• Boundary conditions 13%