dc.contributor.author |
Yohana, Elimboto M.
|
|
dc.contributor.author |
Banda, M.K. (Mapundi)
|
|
dc.date.accessioned |
2016-07-27T08:20:55Z |
|
dc.date.issued |
2016-03 |
|
dc.description.abstract |
A computational investigation of optimal control problems which are constrained by hyperbolic
systems of conservation laws is presented. The general framework is to employ the adjoint-based optimization
to minimize the cost functional of matching-type between the optimal and the target solution. Extension
of the numerical schemes to second-order accuracy for systems for the forward and backward problem are
applied. In addition a comparative study of two relaxation approaches as solvers for hyperbolic systems is
undertaken. In particular optimal control of the 1-D Riemann problem of Euler equations of gas dynamics
is studied. The initial values are used as control parameters. The numerical ow obtained by optimal initial
conditions matches accurately with observations. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.embargo |
2017-03-30 |
|
dc.description.librarian |
am2016 |
en_ZA |
dc.description.sponsorship |
The African Institute of Mathematical Sciences
(AIMS), University of the Witwatersrand (Wits) and supported in part by the National Research Foundation (NRF)
of South Africa UID: 74260, UID: 81299 and UID: 85566. |
en_ZA |
dc.description.uri |
http://www.degruyter.com/view/j/jnma |
en_ZA |
dc.identifier.citation |
Yohana, EM & Banda, MK 2016, 'High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws', Journal of Numerical Mathematics, vol. 24, no. 1, pp. 45-71. |
en_ZA |
dc.identifier.issn |
1570-2820 (print) |
|
dc.identifier.issn |
1659-3953 (online) |
|
dc.identifier.other |
10.1515/jnma-2013-1002 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/56051 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
De Gruyter |
en_ZA |
dc.rights |
© 2016 Walter de Gruyter |
en_ZA |
dc.subject |
Conservation laws |
en_ZA |
dc.subject |
Relaxation schemes |
en_ZA |
dc.subject |
Adjoint method |
en_ZA |
dc.subject |
Optimal control |
en_ZA |
dc.subject |
Euler equations |
en_ZA |
dc.subject |
Discrete velocity kinetic systems |
en_ZA |
dc.title |
High-order relaxation approaches for adjoint-based optimal control problems governed by nonlinear hyperbolic systems of conservation laws |
en_ZA |
dc.type |
Article |
en_ZA |