Name
Title | ||
|---|---|---|
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations: part I: The steady state case |
Abstract | ||
|---|---|---|
A new upper bound is provided for the L∞-norm of the difference between the viscosity solution of a model steady state Hamilton-Jacobi equation, u, and any given approximation, v. This upper bound is independent of the method used to compute the approximation v; it depends solely on the values that the residual takes on a subset of the domain which can be easily computed in terms of v. Numerical experiments investigating the sharpness of the a posteriori error estimate are given. |
Year | DOI | Venue |
|---|---|---|
2002 | 10.1090/S0025-5718-01-01346-1 | Math. Comput. |
Keywords | Field | DocType |
steady state case,general numerical method,posteriori error estimate,numerical experiment,hamilton-jacobi equation,viscosity solution,model steady state hamilton-jacobi,approximation v,steady state,numerical method | Residual,Mathematical optimization,Jacobi method,Upper and lower bounds,Mathematical analysis,Hamilton–Jacobi equation,Rate of convergence,Steady state,Numerical analysis,Viscosity solution,Mathematics | Journal |
Volume | Issue | ISSN |
71 | 237 | 0025-5718 |
Citations | PageRank | References |
6 | 1.16 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Samuel Albert | 1 | 6 | 1.16 |
| Bernardo Cockburn | 2 | 2796 | 434.40 |
| Donald A. French | 3 | 26 | 9.06 |
| Todd E. Peterson | 4 | 36 | 10.02 |