- Tytuł:
- On the numerical discretization of optimal control problems for conservation laws
- Autorzy:
-
Schäfer Aguilar, Paloma
Schmitt, Johann Michael
Ulbrich, Stefan
Moos, Michael - Powiązania:
- https://bibliotekanauki.pl/articles/1839148.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
conservation laws
adjoint state
linear transport equation
discontinuous coefficients
finite difference schemes - Opis:
-
We analyze the convergence of discretization schemes for the adjoint equation arising in the adjoint-based derivative computation for optimal control problems governed by entropy solutions of conservation laws. The difficulties arise from the fact that the correct adjoint state is the reversible solution of a transport equation with discontinuous coefficient and discontinuous end data. We derive the discrete adjoint scheme for monotone difference schemes in conservation form. It is known that convergence of the discrete adjoint can only be expected if the numerical scheme has viscosity of order O(h
- Źródło:
-
Control and Cybernetics; 2019, 48, 2; 345-376
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł