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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。
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...
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 ...
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 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...
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...
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...
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...
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...
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.
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...

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