Abstract
In this article, We analyze the h-version of the discontinuous Galerkin finite element method (DGFEM) for the distributed first-order linear hyperbolic optimal control problems. We derive a posteriori error estimators on general finite element meshes which are sharp in the mesh-width h. These error estimators are shown to be useful in adaptive finite element approximation for the optimal control problems. For the DGFEM we admit very general irregular meshes.
| Original language | English |
|---|---|
| Pages (from-to) | 491-506 |
| Number of pages | 16 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 2011 |
Keywords
- DGFEM
- a posteriori error estimator
- convection equation
- optimal control
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Xiong, C., & Li, Y. (2011). A posteriori error estimators for optimal distributed control governed by the first-order linear hyperbolic equation: DG method. Numerical Methods for Partial Differential Equations, 27(3), 491-506. https://doi.org/10.1002/num.20534