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Adaptive Finite Element Methods For Optimal Control Of Second Order Hyperbolic Equations
| Content Provider | Scilit |
|---|---|
| Author | Kröner, Axel |
| Copyright Year | 2011 |
| Abstract | In this paper we consider a posteriori error estimates for space-time finite element discretizations for optimal control of hyperbolic partial dierential equations of second order. It is an extension of Meidner and Vexler (2007), where optimal control problems of parabolic equations are analyzed. The state equation is formulated as a first order system in time and a posteriori error estimates are derived separating the in uences of time, space, and control discretization. Using this information the accuracy of the solution is improved by local mesh refinement. Numerical examples are presented. Finally, we analyze the conservation of energy of the homogeneous wave equation with respect to dynamically in time changing spatial meshes. |
| Related Links | http://www.degruyter.com/dg/viewarticle.fullcontentlink:pdfeventlink/$002fj$002fcmam.2011.11.issue-2$002fcmam-2011-0012$002fcmam-2011-0012.pdf?t:ac=j$002fcmam.2011.11.issue-2$002fcmam-2011-0012$002fcmam-2011-0012.xml |
| Ending Page | 240 |
| Page Count | 27 |
| Starting Page | 214 |
| ISSN | 16094840 |
| e-ISSN | 16099389 |
| DOI | 10.2478/cmam-2011-0012 |
| Journal | Computational Methods in Applied Mathematics |
| Issue Number | 2 |
| Volume Number | 11 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2011-01-01 |
| Access Restriction | Open |
| Subject Keyword | Computational Methods in Applied Mathematics Automotive Engineering Finite Adaptive Mesh Hyperbolic Optimal Equations Second Order Discretizations Posteriori Journal: Computational Methods in Applied Mathematics, Issue- 2 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Numerical Analysis Computational Mathematics |
