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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An Unfitted Interface Penalty Partly DG Finite Element Method for Interface Problems
接口问题 未拟合 有限元法 部分DG惩罚 Nitsche方法
2023/4/24
An unfitted interface penalty finite element method is proposed for the interface problems, in which Nitsche's method together with the ideas of merging elements and harmonic weighing fluxes are used,...
A direct proof of the five element basis theorem
Aronszajn trees Countryman type forcing axioms
2011/1/17
We present a direct proof of the consistency of the existence of a five element basis for the uncountable linear orders. Our argument is based on the approach of [9] and simplifies the original proof ...
Reversible computing is a concept re ecting physical reversibility. Until now several reversible systems have been investigated.
A posteriori error estimations for mixed finite-element approximations to the Navier-Stokes equations
error estimations mixed finite-element the Navier-Stokes equations
2010/11/18
A posteriori estimates for mixed finite element discretizations of the Navier-Stokes equations are derived. We show that the task of estimating the error in the evolutionary Navier-Stokes equations ca...
Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4
Constructive diagonalization element X the Jordan algebra
2010/11/9
We know that any element $X$ of the exceptional Jordan algebra $\gJ$ is transformed to a diagonal form by the compact exceptional Lie group $F_4$. However, its proof is used the method which is reduce...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
Static two-grid mixed finite-element approximations to the Navier-Stokes equations
Static two-grid mixed finite-element the Navier-Stokes equations
2010/11/19
A two-grid scheme based on mixed finite-element approximations to the incompressible Navier-Stokes equations is introduced and analyzed. In the first level the standard mixed finite-element approxima...
Matter-Element Modeling of Parallel Structure and Application about Extension PID Control System
Extension control system matter modeling parallel structure PID predictable algorithm
2007/12/11
This article describes in detail a new method via the extension predictable algorithm of the matter-element model of parallel structure tuning the parameters of the extension PID controller. In compar...