Name
Title | ||
|---|---|---|
Exact Bounds for Linear Outputs of the Advection-Diffusion-Reaction Equation Using Flux-Free Error Estimates |
Abstract | ||
|---|---|---|
The paper introduces a methodology to compute strict upper and lower bounds for linear-functional outputs of the exact solutions of the advection-reaction-diffusion equation. The proposed approach is an alternative to the standard residual type estimators (hybrid-flux), circumventing the need of flux-equilibration following a flux-free error estimation strategy. The presented estimator provides sharper estimates than the ones provided by both the standard hybrid-flux techniques and other flux-free techniques. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1137/080724356 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
flux-free error estimation strategy,linear outputs,exact solution,exact bounds,advection-diffusion-reaction equation,advection-reaction-diffusion equation,flux-free error estimates,standard hybrid-flux technique,lower bound,linear-functional output,flux-free technique,sharper estimate,standard residual type estimator,boundary condition,upper bound,domain decomposition,goal orientation,oscillations | Exact solutions in general relativity,Residual,Convection–diffusion equation,Mathematical optimization,Linear form,Upper and lower bounds,Mathematical analysis,Numerical analysis,Reaction–diffusion system,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
31 | 4 | 1064-8275 |
Citations | PageRank | References |
1 | 0.37 | 8 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Núria Parés | 1 | 1 | 0.37 |
| Pedro Díez | 2 | 5 | 2.26 |
| A. Huerta | 3 | 5 | 3.76 |