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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unconditional stability and error estimates of FEMs for the electro-osmotic flow in micro-channels
微通道 电渗流FEM 无条件稳定性 误差估计
2023/5/15
In this paper, we will provide the the finite element method for the electro-osmotic flow in micro-channels, in which a convection-diffusion type equation is given for the charge density ρe. A time-di...
Polyharmonic Hardy Spaces on the Complexified Annulus and Error Estimates of Cubature Formulas
Hardy space Numerical Integration Cubature formulas Error estimate
2012/4/23
The present paper has a twofold contribution: first, we introduce a new concept of Hardy spaces on a multidimensional complexified annular domain which is closely related to the annulus of the Klein-D...
A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems
a posteriori error estimates time-nonconforming approximations convection-diffusion
2011/2/25
We derive computable upper bounds for the difference between an exact solution of the evolutionary convection-diffusion problem and an approximation of this solution.
Error Estimates in Horocycle Averages Asymptotics: Challenges from String Theory
Error Estimates Horocycle Averages Asymptotics Challenges String Theory
2011/1/21
For modular functions of rapid decay, a classical result connects the error estimate in their long horocycle average asymptotic to the Riemann hy-pothesis.
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
A posteriori estimator non positive definite diffusion problems
2010/12/8
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continuous problem can be t...
Construction of Solutions and L^1-error Estimates of Viscous Methods for Scalar Conservation Laws with Boundary
scalar conservation laws initial boundary value problem global weak entropy solution error estimate of viscous methods
2007/12/11
This paper is concerned with an initial boundary value problem for strictly convex conservation laws whose weak entropy solution is in the piecewise smooth solution class consisting of finitely many d...