A Local Discontinuous Galerkin Method for Dirichlet Boundary Control Problems
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914283058626560 |
|---|---|
| author | Benner, Peter Hinze, Michael Yücel, Hamdullah |
| author_facet | Benner, Peter Hinze, Michael Yücel, Hamdullah |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18969 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Local Discontinuous Galerkin Method for Dirichlet Boundary Control Problems Benner, Peter Hinze, Michael Yücel, Hamdullah Optimization and Control 49J20, 49K20, 65N15, 65N30 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. |
| title | A Local Discontinuous Galerkin Method for Dirichlet Boundary Control Problems |
| topic | Optimization and Control 49J20, 49K20, 65N15, 65N30 |
| url | https://arxiv.org/abs/2601.18969 |