| DURIP10: Hybrid Computing Facilities Enabling Novel Developments for Stochastic Simulations and Research-related Education |
31 Dec 2011 |
4 pages |
| Authors:
Jan S Hesthaven; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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 | This was a request for acquisition of a high-end hybrid CPU-GPU computing facility, designed specifically to dramatically enhance current computing capabilities, and support algorithm development for computationally intensive stochastic and high-resolution simulations. The system will be used to support research in the areas of interest to a new MURI AFSOR. |
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| Certified Reduced Basis Method for Electromagnetic Scattering and Radar Cross Section Estimation |
18 Nov 2011 |
33 pages |
| Authors:
Yanlai Chen; Jan S Hesthaven; Yvon Maday; Jeronimo Rodriguez; Xueyu Zhu; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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| We study nontrivial applications of the reduced basis method (RBM) for electromagnetic applications with an emphasis on scattering and the estimation of radar cross section (RCS). The method and several extensions are explained with two examples with different characteristics. Parameters that are allowed to vary within the model include frequency, incident angle and measurement angle as well as the geometry of the scatterers. With appropriate applications of the empirical interpolation ... |
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| Efficient Greedy Algorithms for High-Dimensional Parameter Spaces with Applications to Empirical Interpolation and Reduced Basis Methods |
09 Sep 2011 |
24 pages |
| Authors:
Jan S Hesthaven; Benjamin Stamm; Shun Zhang; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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| We propose two new and enhanced algorithms for greedy sampling of high-dimensional functions. While the techniques have a substantial degree of generality, we frame the discussion in the context of methods for empirical interpolation and the development of reduced basis techniques for high-dimensional parametrized functions. The first algorithm, based on a assumption of saturation of error in the greedy algorithm, is shown to result in a significant reduction of the ... |
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| Discontinuous Galerkin Methods for Kinetic Plasma and Hybrid Plasma/Fluid Modeling with Applications to Microwave Generation and Laser-Matter Interaction |
04 Apr 2011 |
9 pages |
| Authors:
Jan S Hesthaven; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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| The shortcomings of the classic low order and geometrically inflexible particle-in- cell methods for the modeling of kinetic plasma phenomena approach are also becoming increasing clear when one attempts to model many types of applications of mission critical importance to the US Airforce. However, the development of faster and more accurate alternatives remains a major challenge, since such developments require one to rethink fundamental choices and design criteria. In this ... |
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| Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations |
01 Sep 2010 |
8 pages |
| Authors:
Jan S Hesthaven; Anthony T Patera; BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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| In this project we have developed reduced basis approximations and associated a posteriori error bounds for parametrized partial differential equations. For this development to be of relevance to AFOSR applications, careful attention has to be paid to numerical analysis; computational procedures; performance assessment; and the application to non-trivial test cases. The approach is at present relevant to linear coercive and noncoercive and nonlinear elliptic equations, linear coercive and weakly noncoercive ... |
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