67 citations · 864 across the 63 of their papers we have counts for
5 papers · 1 filter
A New Functional for Variational Mesh Generation and Adaptation Based on Equidistribution and Alignment Conditions
Avary Kolasinski, Weizhang Huang
A new functional is presented for variational mesh generation and adaptation. It is formulated based on combining the equidistribution and alignment conditions into a single condit…
A study on nonnegativity preservation in finite element approximation of Nagumo-type nonlinear differential equations
Xianping Li, Weizhang Huang
Preservation of nonnengativity and boundedness in the finite element solution of Nagumo-type equations with general anisotropic diffusion is studied. Linear finite elements and the…
An adaptive moving mesh finite element solution of the Regularized Long Wave equation
Changna Lu, Weizhang Huang, Jianxian Qiu
An adaptive moving mesh finite element method is proposed for the numerical solution of the regularized long wave (RLW) equation. A moving mesh strategy based on the so-called movi…
A Study on Moving Mesh Finite Element Solution of the Porous Medium Equation
Cuong Ngo, Weizhang Huang
An adaptive moving mesh finite element method is studied for the numerical solution of the porous medium equation with and without variable exponents and absorption. The method is…
Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes
Weizhang Huang, Lennard Kamenski, Jens Lang
We study the stability of explicit one-step integration schemes for the linear finite element approximation of linear parabolic equations. The derived bound on the largest permissi…