Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
A local discontinuous Galerkin method for Dirichlet boundary control problems. |
| Συγγραφείς: |
Benner, Peter1 (AUTHOR) benner@mpi-magdeburg.mpg.de, Hinze, Michael2 (AUTHOR) hinze@uni-koblenz.de, Yücel, Hamdullah3 (AUTHOR) yucelh@metu.edu.tr |
| Πηγή: |
Journal of Numerical Mathematics. Oct2026, p1. 22p. 5 Illustrations. |
| Θεματικοί όροι: |
*Galerkin methods, *Piecewise linear approximation, *Variational approach (Mathematics), *Advection-diffusion equations, *Computer simulation |
| Περίληψη: |
In this paper, we consider control constrained L 2-Dirichlet boundary control of a convection−diffusion equation on a two dimensional convex polygonal domain. We discretize the control problem based on the local discontinuous Galerkin method with piecewise linear ansatz functions for the flux and potential. We derive a priori error estimates for the full as well as for the variational discrete control approximation. We present a selection of numerical results to demonstrate the performance of our approach and to underpin the theoretical findings. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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