Back to Search
Start Over
A DPG method for linear quadratic optimal control problems.
- Source :
-
Computers & Mathematics with Applications . Jul2024, Vol. 166, p106-117. 12p. - Publication Year :
- 2024
-
Abstract
- The DPG method with optimal test functions for solving linear quadratic optimal control problems with control constraints is studied. We prove existence of a unique optimal solution of the nonlinear discrete problem and characterize it through first-order optimality conditions. Furthermore, we systematically develop a priori as well as a posteriori error estimates. Our proposed method can be applied to a wide range of constrained optimal control problems subject to, e.g., scalar second-order PDEs and the Stokes equations. Numerical experiments that illustrate our theoretical findings are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 166
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177514193
- Full Text :
- https://doi.org/10.1016/j.camwa.2024.04.027