Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Du, Shukai"'
Autor:
Du, Shukai, Stechmann, Samuel N.
In this paper, we propose a systematic approach for accelerating finite element-type methods by machine learning for the numerical solution of partial differential equations (PDEs). The main idea is to use a neural network to learn the solution map o
Externí odkaz:
http://arxiv.org/abs/2308.02467
Autor:
Du, Shukai1 (AUTHOR) dushukai@163.sufe.edu.cn
Publikováno v:
PLoS ONE. 5/16/2024, Vol. 19 Issue 5, p1-21. 21p.
Autor:
Du, Shukai, Sayas, Francisco-Javier
In this note, we propose a simple way of constructing HDG+ projections on polyhedral elements. The projections enable us to analyze the Lehrenfeld-Sch\"{o}berl HDG (HDG+) methods in a very concise manner, and make many existing analysis techniques of
Externí odkaz:
http://arxiv.org/abs/2002.07879
Autor:
Du, Shukai, Sayas, Francisco-Javier
We propose a framework that allows us to analyze different variants of HDG methods for the static Maxwell equations using one simple analysis. It reduces all the work to the construction of projections that best fit the structures of the approximatio
Externí odkaz:
http://arxiv.org/abs/1910.01000
Autor:
Du, Shukai, Sayas, Francisco-Javier
We present some new analytical tools for the error analysis of hybridizable discontinuous Galerkin (HDG) method for linear elasticity. These tools allow us to analyze more variants of HDG method using the projection-based approach, which renders the
Externí odkaz:
http://arxiv.org/abs/1903.11766
Autor:
Du, Shukai, Stechmann, Samuel N.
Publikováno v:
In Journal of Computational Physics February 2023
We consider the problem of waves propagating in a viscoelastic solid. For the material properties of the solid we consider both classical and fractional differentiation in time versions of the Zener, Maxwell, and Voigt models, where the coupling of d
Externí odkaz:
http://arxiv.org/abs/1802.00825
Autor:
Du, Shukai1 (AUTHOR) sdu49@wisc.edu, Stechmann, Samuel N.1,2 (AUTHOR)
Publikováno v:
Journal of Advances in Modeling Earth Systems. Nov2023, Vol. 15 Issue 11, p1-23. 23p.
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 June 2022 396