An Adaptive High-order Piecewise Polynomial Based Sparse Gird Collocation Method

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:陶詹晶副教授
:2019-12-12 11:00
:数理大楼 661

       Speaker Dr. Zhanjing Tao

                       Jilin University

Title:    An Adaptive High-order Piecewise Polynomial Based Sparse Gird Collocation Method

       Time:12 Dec 2019, 11:00

Location数理大楼661

Abstract:    This paper constructs adaptive sparse grid collocation method onto arbitrary order piecewise polynomial space. The sparse grid method is a popular technique for high dimensional problems, the associated collocation method has been well studied in the literature. The contribution of this work is the introduction of a systematic framework for collocation onto high-order piecewise polynomial space that is allowed to be discontinuous. We consider both Lagrange Hermite interpolation methods on nested collocation points. Our construction includes a wide range of function space, including those used in sparse grid continuous finite element method. Error estimates are provided, the numerical results in function interpolation, integration some benchmark problems in uncertainty quantification are used to compare different collocation schemes.


 

 联系人:邱建贤教授