Zobrazeno 1 - 10
of 20
pro vyhledávání: '"L. Steven Hou"'
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 51:1501-1526
This work concerns the analysis and finite element approximations of the evolutionary Stokes equations, with inhomogeneous boundary and divergence data. The proposed weak formulation can be viewed as an attempt to develop the parabolic analog of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ba4d027532d4dfc57a4828b522f28a7
https://doi.org/10.1051/m2an/2016070
https://doi.org/10.1051/m2an/2016070
Publikováno v:
Computers & Mathematics with Applications. 73:1684-1696
This work concerns finite element analysis of the evolutionary Stokes equation with inhomogeneous Dirichlet boundary data. The Dirichlet boundary data are enforced using a Lagrange multiplier approach generalized from the work of Gunzburger and Hou (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35596cbba3305628dcf10ecbbccb797d
https://doi.org/10.1016/j.camwa.2017.01.026
https://doi.org/10.1016/j.camwa.2017.01.026
Publikováno v:
International Journal of Non-Linear Mechanics. 67:218-230
This paper considers the problem of nonlinear instability in electrically driven viscous axisymmetric jets with respect to spatial and temporal growing disturbances in the presence of a uniform or non-uniform applied electric field. The mathematical
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41307814348ce99e5874aab46b72f2a0
https://doi.org/10.1016/j.ijnonlinmec.2014.09.001
https://doi.org/10.1016/j.ijnonlinmec.2014.09.001
Publikováno v:
Recent Advances in Scientific Computing and Partial Differential Equations. :133-153
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45b6a3130336ce4f62ce178ebd2f7282
https://doi.org/10.1090/conm/330/05888
https://doi.org/10.1090/conm/330/05888
Publikováno v:
Numerische Mathematik. 77:243-268
This paper is concerned with optimal control problems for a Ginzburg-Landau model of superconductivity that is valid for high values of the Ginzburg-Landau parameter and high external fields. The control is of Neumann type. We first show that optimal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cf2f4f2efb2b7ecf0d7d88952caa6dcd
https://doi.org/10.1007/s002110050285
https://doi.org/10.1007/s002110050285
Autor:
Weiwei Sun, L. Steven Hou
Publikováno v:
SIAM Journal on Control and Optimization. 34:855-873
We consider an optimal control problem that arises in cathodic protection. The control is the position of a finite number of anodes, each with a prescribed current density. The goal is to obtain a desired potential distribution on the cathode that wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e23f84a9c71903765ff77fc1a659ec1
https://doi.org/10.1137/s0363012993244106
https://doi.org/10.1137/s0363012993244106
Autor:
Max D. Gunzburger, L. Steven Hou
Publikováno v:
SIAM Journal on Control and Optimization. 34:1001-1043
An abstract framework for the analysis and approximation of a class of nonlinear optimal control and optimization problems is constructed. Nonlinearities occur in both the objective functional and the constraints. The framework includes an abstract n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc63a966f59c416dd7e21ac56914af74
https://doi.org/10.1137/s0363012994262361
https://doi.org/10.1137/s0363012994262361
Autor:
L. Steven Hou, James C. Turner
Publikováno v:
Numerische Mathematik. 71:289-315
An optimal control problem for impressed cathodic systems in electrochemistry is studied. The control in this problem is the current density on the anode. A matching objective functional is considered. We first demonstrate the existence and uniquenes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46d376f176b7ad6ed35f5edcdf7efd95
https://doi.org/10.1007/s002110050146
https://doi.org/10.1007/s002110050146
Publikováno v:
Journal of Computational and Applied Mathematics. 61:323-343
We examine certain analytic and numerical aspects of optimal control problems for a Ladyzhenskaya model for stationary, incompressible, viscous flows. The control considered is of the distributed type; the functionals minimized are the L2-distance of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c4a15c8c84ff368694773aa05a9fb12
https://doi.org/10.1016/0377-0427(95)00072-0
https://doi.org/10.1016/0377-0427(95)00072-0
Autor:
L. Steven Hou, Janet S. Peterson
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 24:857-874
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cba7a52302df8626f135a223308e4ae
https://doi.org/10.1016/0362-546x(94)00120-7
https://doi.org/10.1016/0362-546x(94)00120-7