Haut PDF A Reduced Basis Method for Parametrized Variational Inequalities
A Reduced Basis Method for Parametrized Variational Inequalities
... Abstract Reduced basis methods are an efficient tool for significantly reducing the computational complexity of solving parametrized partial differential ...introduced for elliptic ...
30
Towards real time computation of 3D magnetic field in parametrized Polyhelix magnets using a reduced basis Biot-Savart model
... • A Finite Element, full 3D, parallel, multi-physics model, coupling thermoelectric, magneto static (Maxwell and Biot & Savart) and ...• A Reduced Basis method for Biot & ...
2
Certified reduced-basis solutions of viscous Burgers equation parametrized by initial and boundary values
... choosing a basis to expand reduced solutions ...our method, for one willing to use it for large times, is that the online procedure complexity still depends on the temporal ...
35
A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization
... shown for the parabolic state equation in [13]. 3. Reduced basis ...RB method is a projection-based model re- duction method for parametrized PDEs ...the ...
28
High Performance Computing for the Reduced Basis Method. Application to Natural Convection
... In this paper, we are interested in studying the RBM applied to steady-state natural convection problems parametrized by the Grashof and Prandtl numbers. Natural convection has applications in many engineering ...
20
PBDW: A non-intrusive Reduced Basis Data Assimilation method and its application to an urban dispersion modeling framework
... need for improved approximation and model reduction is particularly pertinent in these applications, modeling complex and not-fully-known ...on a new technique combining Model Order Reduction (MOR) and ...
33
Towards real time computation of 3D magnetic field in parametrized Polyhelix magnets using a reduced basis Biot-Savart model
... into a tool for magnet designers without numerical simulation knowledge to visualize the 3D magnetic field maps in real time while changing ...Design a Reduced Basis method ...
2
A Certified Reduced Basis Method for the Fokker-Planck Equation of Dilute Polymeric Fluids: FENE Dumbbells in Extensional Flow
... present a reduced basis method for the parametrized Fokker– Planck equation associated with evolution of Finitely Extensible Nonlinear Elastic (FENE) dumbbells in a ...
26
Simultaneous empirical interpolation and reduced basis method. Application to non-linear multi-physics problem
... designed for real-time and many-query simulations, the Reduced Basis (RB) method offers an efficient evaluation of quantities of interest and covers a large range of problems among ...
14
A Reduced Basis Method for the Simulation of American Options
... A Reduced Basis Method for the Simulation of American Options Bernard Haasdonk, Julien Salomon and Barbara Wohlmuth Abstract We present a reduced basis ...
8
PBDW: a non-intrusive Reduced Basis Data Assimilation Method and its application to outdoor Air Quality Models
... is a varying parameter in the model, the implementation of the adjoint method would require the reconstruction of the wind field at each iteration during the approximation of the optimal parameter ...(i.e. ...
29
A computational framework for certified reduced basis methods: applications to multiphysics problems
... certified reduced basis methods, automated computational framework, reduced order mod- eling in multiphysics applications ABSTRACT Over the last few years we have been developing an open-source ...
3
Reduced-Basis approach for homogenization beyond the periodic setting
... ¯ A(Φ ¯ −1 x (ǫ −1 x, ω)) with ω an element of a probability spa
e, by nature, also demand for solving parametrized ell ...of a large number of ell problems, and oer a frame ...
44
Error estimate of the Non Intrusive Reduced Basis method with finite volume schemes
... The method can be extended to other classical discretizations but the key ingredient is a better approximation rate in the L 2 norm than in the energy norm, thanks to the Aubin-Nitsche’s trick that is easy ...
21
Certified reduced basis model validation: A frequentistic uncertainty framework
... Center for Computational Engineering Massachusetts Institute of Technology, Cambridge, MA, 02139 USA Abstract We introduce a frequentistic validation framework for assessment — acceptance or ...
30
A non-intrusive reduced basis approach for parametrized heat transfer problems
... non-intrusive reduced basis method to return compu- tationally efficient and accurate thermal flux for simple model of cooling ...via a rectification ...in a simple finite ...
21
Component-based reduced basis for parametrized symmetric eigenproblems
... Background: A component-based approach is introduced for fast and flexible solution of parameter-dependent symmetric ...Considering a generalized eigenproblem with symmetric stiffness and mass ...
31
Reduced Basis Greedy Selection Using Random Training Sets
... introduced for the approximation of parametrized PDEs in appli- cations where many online queries are ...efficiency for such problems has been theoretically confirmed in [1, 9], where it is shown ...
18
Adaptive finite elements for variational inequalities with non-smooth coefficients.
... been a lot of progress in the numerical solution of such problems since the pioneering works in the 70’s, see [27, 29, 39, 50] for an exhaustive ...particular, a priori error estimates and numerical ...
33
Numerical Schemes for Variational Inequalities Arising in International Asset Pricing
... as a singular stochastic control problem whose states describe the production technology processes in both ...be a system of Variational In- equalities, coupled through the zeroth order terms, with ...
32