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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

樊玉伟 博士,斯坦福大学

Inviter: 邸亚娜 副研究员
Title:
A Coarse Model Filter Reduced Basis Approach to Parametric Integral Equation Problems
Time & Venue:
2018.12.26 11:00-12:00 Z311
Abstract:

The reduced basis method has been widely used in fast solving the parametric PDEs for some real-time problems and many-queries problems. In this talk, we extend the reduced basis method to parametric integral equation problems, and develop simple and general-purpose a reduced basis approximation technique for linear elliptic integral operators. To achieve it, we first selected the reduced basis functions cheaply based on the numerical solutions on a coarse grid. Then we combined the random sampling technique and the interpolation technique to reconstruct integral operators under the reduced basis. Numerical results demonstrate the efficiency of our method.

 

 

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