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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,...
In 2006, the fourth author of this paper proposed a graph-theoretic model of interface dynamics called competitive erosion. Each vertex of the graph is occupied by a particle that can be either red or...
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS
Monte carlo markov chain the interface between computing computer science statistical mechanics
2015/7/14
THREE EXAMPLES OF MONTE-CARLO MARKOV CHAINS:AT THE INTERFACE BETWEEN STATOSTICAL COMPUTING,COMPUTER SCIENCE,AND STATISTICAL MECHANICS。
Solution of Singular Integrals in Mathematical Model of Mode I Crack near Strength Mismatched Interface
Crack Opening Displacement Singular Integrals Strength Mismatch Weld Interface Cauchy’s Principal Value Theorem
2013/1/30
Characteristics of Mode I crack near the interface of elasticity matched but plasticity and strength mismatched materials differ from those of the crack in a homogenous body. Interface body of differe...
Interface dynamics of the porous medium equation with a bistable reaction term
degenerate diffusion singular perturbation sharp interface limit population dynamics
2011/9/14
Abstract: We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic behavior as a ...
On modeling and simulation of surfactants in diffuse interface flow
modeling and simulation surfactants interface flow
2011/9/29
An existing phase- eld model of two immiscible uids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and show that it is mathematically ill-p...
A New Type of Traveling Interface Modulations in a Catalytic Surface Reaction
Traveling Interface Modulations spatially separated domains
2011/7/6
A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional m...
On the moments and the interface of the symbiotic branching model
Symbiotic branching model mutually catalytic branching
2011/1/19
In this paper we introduce a critical curve separating the asymptotic behavior of the moments of the symbiotic branching model,introduced by Etheridge and Fleischmann [Stochastic Process. Appl.114 (20...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Carleman estimate elliptic operator non-smooth coecient quasimode
2011/2/21
We consider a second-order selfadjoint elliptic operator with an anisotropic di usion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carlema...
Discrete breathers at the interface between a diatomic and monoatomic granular chain
Discrete breathers at the interface diatomic monoatomic granular chain
2010/12/28
In the present work, we develop a systematic examination of the existence, stability and dynamical properties of a discrete breather at the interface between a diatomic and a monoatomic granular chain...
We extend the Hopf algebra description of a simple quantum system given previously, to a more elaborate Hopf algebra, which is rich enough to encompass that related to a description of perturbative qu...
Occupation and Local Times for Skew Brownian Motion with Applications to Dispersion Across an Interface
Skew Brownian motion advection-diffusion local time
2010/12/14
Advective skew dispersion is a natural Markov process defined by a diffusion with drift across an interface of jump discontinuity in a piecewise constant diffusion coefficient.
An Edge-based Anisotropic Mesh Refinement Algorithm and its Application to Interface Problems
Adaptive finite element method Anisotropic mesh refinement El- liptic interface problem Non-homogeneous jump A posteriori error estimate
2015/5/6
Based on an error estimate in terms of element edge vectors on arbitrary unstruc-tured simplex meshes, we propose a new edge-based anisotropic mesh refinement algorithm. As the mesh adaptation indicat...
A method for construction of a preconditioner for the capacitance matrix on the interface is described. The preconditioner is determined by a subdomain covering the interface, and the condition number...