[PDF] Top 20 A reduced basis method for control problems governed by PDES

... as basis func- ...as basis functions. The applications of reduced basis method to structural mechanics problems can be found in [1] and ... See full document

... the control of fluids have been ...instantaneous control was developed in the work [6] of ...the control of Navier-Stokes equations in several subsequent papers; see ...by reduced order models ... See full document

... many problems, such as the Stefan-Boltzmann radiation law, the Lotka- Volterra model in population dynamics, can be described by optimal control problems governed by partial differential ... See full document

... or Reduced Basis (RB) problems, we use an open-source library called Feel++ for Finite Element Embedded Library and Language in C++ ( [PCD + 12, Pru06] ...solve problems arising from partial ... See full document

... There are many shape parametrization methods to choose from. Comparisons of different shape parametrization techniques from a fluid dynamics viewpoint can be found in [52], and from a model reduction viewpoint in [33]. ... See full document

... time, reduced basis elements have to be updated and the solution is sought in the new reduced basis ...analysis problems and [14] for high Reynolds number steady state uid ow ... See full document

... systems governed by ...dual control method coupled with the multi-parameter regularization yields a method that is very tunable and ...appropriate basis selection for the problem at ... See full document

... the reduced basis elements, the system ...the basis. Thus the reduced basis technique can be eective only when the number basis vectors necessary is ...structural problems ... See full document

... In recent years, a great research effort has been made to solve optimization problems governed by Partial Differential Equations (PDEs); see, e.g., [1]-[3] and references therein. In many cases, this ... See full document

... or Reduced Basis (RB) problems, we use an open-source library called Feel++ for Finite Element Embedded Library and Language in C++ ( [Prud’Homme et ...solve problems arising from partial ... See full document

... of reduced basis method for opti- mal control problems in unsteady viscous ...The reduced basis method uses basis functions which are generated from the ... See full document

... of problems, namely Poisson equation with Dirich- let boundary condition, biharmonic equation with Dirichlet boundary condition, Poisson equation with Dirichlet and Neumann boundary conditions, are ...proposed ... See full document

... optimal control problems is how to drive the corresponding trajectory of the equation from an initial state to a given target set in the shortest time, through applying constrained ...of problems, ... See full document

... RBFN-based method, each dependent variable and its derivatives are expressed as linear combinations of basis functions which are associated with the same set of network ...new basis functions from ... See full document

... Hirota-Satsuma introduced the nonlinear coupled Kortewege–de Vries equations [22]. This model has numerous applications in physical sciences. In the last decade, researchers have used various numerical techniques for the ... See full document

... Optimal control problems have been so widely met in all kinds of practical ...optimal control problems ...the control is to make the temperature distribution y as close as to the ... See full document

... mal control problems using mixed finite element methods are considered in [, ...mal control problems are ...optimal control problems governed by integro-differential ... See full document

... This problem requires 1819 unknowns when the conventional Method of Moments is used. To apply the CBFM, the geometry is segmented into 7 sub-blocks as shown in Fig. 4. We first ignore all the lumped circuit ... See full document

... In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.. T[r] ... See full document

... the control variable 4 with the exact solutions for I = 4, 6 are presented in Figures 3 and 4, ...suggested method are listedin Table ...B-spline basis, the approximate values of n and 4 will ... See full document