Numerical Analysis and Simulation for a Generalized Planar Ginzburg-Landau Equation in a Circular Geometry [0.03%]
圆域上广义平面Ginzburg-Landau方程的数值分析与模拟
Sean Colbert-Kelly,G B McFadden,Daniel Phillips et al.
Sean Colbert-Kelly et al.
In this paper, a numerical scheme for a generalized planar Ginzburg-Landau energy in a circular geometry is studied. A spectral-Galerkin method is utilized, and a stability analysis and an error estimate for the scheme are presented. It is ...
Incompressible Limit of a Mechanical Model for Tissue Growth with Non-Overlapping Constraint [0.03%]
具有非重叠约束的组织生长力学模型的不可压缩极限问题
Sophie Hecht,Nicolas Vauchelet
Sophie Hecht
A mathematical model for tissue growth is considered. This model describes the dynamics of the density of cells due to pressure forces and proliferation. It is known that such cell population model converges at the incompressible limit towa...
MEAN-FIELD THEORY AND COMPUTATION OF ELECTROSTATICS WITH IONIC CONCENTRATION DEPENDENT DIELECTRICS [0.03%]
浓度依赖介电常数的离子溶液的平均场理论和静电计算
B O Li,Jiayi Wen,Shenggao Zhou
B O Li
We construct a mean-field variational model to study how the dependence of dielectric coefficient (i.e., relative permittivity) on local ionic concentrations affects the electrostatic interaction in an ionic solution near a charged surface....
X Li,J Lowengrub,A Rätz et al.
X Li et al.
We extend previous work and present a general approach for solving partial differential equations in complex, stationary, or moving geometries with Dirichlet, Neumann, and Robin boundary conditions. Using an implicit representation of the g...
A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A DEFORMABLE INTERFACE [0.03%]
可变形界面的物质输运、扩散及吸脱附的扩散界面模型方法研究
Knut Erik Teigen,Xiangrong Li,John Lowengrub et al.
Knut Erik Teigen et al.
A method is presented to solve two-phase problems involving a material quantity on an interface. The interface can be advected, stretched, and change topology, and material can be adsorbed to or desorbed from it. The method is based on the ...