Ryosuke Yano
Ryosuke Yano
The local epidemic spread in physical space is modeled using the kinetic equation. In particular, the infection occurs via the binary interaction between the uninfected and infected individuals. Then, the local epidemic spread can be modele...
An a posteriori Error Estimate for Scanning Electron Microscope Simulation with Adaptive Mesh Refinement [0.03%]
自适应网格加密的扫描电子显微镜模拟后验误差估计
William F Mitchell,John S Villarrubia
William F Mitchell
The intensity variation in a scanning electron microscope is a complex function of sample topography and composition. Measurement accuracy is improved when an explicit accounting for the relationship between signal and measurand is made. Be...
Error Bounds for Discontinuous Finite Volume Discretisations of Brinkman Optimal Control Problems [0.03%]
Brinkman方程最优控制问题间断有限体积离散的误差界估计
S Kumar,R Ruiz-Baier,R Sandilya
S Kumar
We introduce a discontinuous finite volume method for the approximation of distributed optimal control problems governed by the Brinkman equations, where a force field is sought such that it produces a desired velocity profile. The discreti...
Multigrid Methods for A Mixed Finite Element Method of The Darcy-Forchheimer Model [0.03%]
达西-福克赫默模型混合有限元方法的多重网格解法
Jian Huang,Long Chen,Hongxing Rui
Jian Huang
An efficient nonlinear multigrid method for a mixed finite element method of the Darcy-Forchheimer model is constructed in this paper. A Peaceman-Rachford type iteration is used as a smoother to decouple the nonlinearity from the divergence...
Numerical Treatment of Stokes Solvent Flow and Solute-Solvent Interfacial Dynamics for Nonpolar Molecules [0.03%]
非极性分子的溶剂流数理处理及溶质-溶剂界面动力学
Hui Sun,Shenggao Zhou,David K Moore et al.
Hui Sun et al.
We design and implement numerical methods for the incompressible Stokes solvent flow and solute-solvent interface motion for nonpolar molecules in aqueous solvent. The balance of viscous force, surface tension, and van der Waals type disper...
POSTPROCESSING MIXED FINITE ELEMENT METHODS FOR SOLVING CAHN-HILLIARD EQUATION: METHODS AND ERROR ANALYSIS [0.03%]
求解Cahn-Hilliard方程的混合有限元方法后处理技术及误差分析
Wansheng Wang,Long Chen,Jie Zhou
Wansheng Wang
A postprocessing technique for mixed finite element methods for the Cahn-Hilliard equation is developed and analyzed. Once the mixed finite element approximations have been computed at a fixed time on the coarser mesh, the approximations ar...
Convergence Analysis of Triangular MAC Schemes for Two Dimensional Stokes Equations [0.03%]
三角网格MAC方案的二维Stokes方程收敛性分析
Long Chen,Ming Wang,Lin Zhong
Long Chen
In this paper, we consider the use of H(div) elements in the velocity-pressure formulation to discretize Stokes equations in two dimensions. We address the error estimate of the element pair RT0-P0, which is known to be suboptimal, and rend...
A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces [0.03%]
用于表面扩散和反应-扩散方程的径向基函数(RBF)-有限差分(FD)方法
Varun Shankar,Grady B Wright,Robert M Kirby et al.
Varun Shankar et al.
In this paper, we present a method based on Radial Basis Function (RBF)-generated Finite Differences (FD) for numerically solving diffusion and reaction-diffusion equations (PDEs) on closed surfaces embedded in ℝ d . Our method uses a meth...
A Well-Balanced Path-Integral f-Wave Method for Hyperbolic Problems with Source Terms [0.03%]
含源项双曲问题的权函数路径积分f波法
Randall J Leveque
Randall J Leveque
Systems of hyperbolic partial differential equations with source terms (balance laws) arise in many applications where it is important to compute accurate time-dependent solutions modeling small perturbations of equilibrium solutions in whi...
Jeremy Ovadia,Qing Nie
Jeremy Ovadia
Growth of developing and regenerative biological tissues of different cell types is usually driven by stem cells and their local environment. Here, we present a computational framework for continuum tissue growth models consisting of stem c...