A local discontinuous Galerkin method for Dirichlet boundary control problems.

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]
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