Name
Abstract | ||
|---|---|---|
Some aspects of goal-oriented a posteriori error estimation are addressed in the context of steady convection-diffusion equations. The difference between the exact and approximate values of a linear target functional is expressed in terms of integrals that depend on the solutions to the primal and dual problems. Gradient averaging techniques are employed to separate the element residual and diffusive flux errors without introducing jump terms. The dual solution is computed numerically and interpolated using higher-order basis functions. A node-based approach to localization of global errors in the quantities of interest is pursued. A possible violation of Galerkin orthogonality is taken into account. Numerical experiments are performed for centered and upwind-biased approximations of a 1D boundary value problem. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.matcom.2009.03.008 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
dual problem,mesh adaptation pacs: 65n15,stationary convection–diffusion equations,diffusive flux error,stationary convection-diffusion equations,approximate value,global error,transport problem,higher-order basis function,76m30,posteriori error estimate,gradient averaging technique,the finite element method,dual solution,boundary value problem,65n50,65n15,a posteriori error estimates,galerkin orthogonality,goal-oriented quantities,mesh adaptation,jump term,finite element method,transportation problem,higher order,convection diffusion equation,goal orientation | Boundary value problem,Residual,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Galerkin method,Interpolation,Orthogonality,Basis function,Jump,Mathematics | Journal |
Volume | Issue | ISSN |
80 | 8 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
6 | 0.65 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Dmitri Kuzmin | 1 | 167 | 23.90 |
| Sergey Korotov | 2 | 188 | 29.62 |