67 citations · 864 across the 63 of their papers we have counts for
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How a nonconvergent recovered Hessian works in mesh adaptation
Lennard Kamenski, Weizhang Huang
Hessian recovery has been commonly used in mesh adaptation for obtaining the required magnitude and direction information of the solution error. Unfortunately, a recovered Hessian…
Maximum principle for the finite element solution of time dependent anisotropic diffusion problems
Xianping Li, Weizhang Huang
Preservation of the maximum principle is studied for the combination of the linear finite element method in space and the -method in time for solving time dependent anisotropic…
The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
Changna Lu, Weizhang Huang, Erik S. Van Vleck
The cutoff method, which cuts off the values of a function less than a given number, is studied for the numerical computation of nonnegative solutions of parabolic partial differen…
Adaptive finite elements with anisotropic meshes
Weizhang Huang, Lennard Kamenski, Jens Lang
The paper presents a numerical study for the finite element method with anisotropic meshes. We compare the accuracy of the numerical solutions on quasi-uniform, isotropic, and anis…
Conditioning of Finite Element Equations with Arbitrary Anisotropic Meshes
Lennard Kamenski, Weizhang Huang, Hongguo Xu
Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The fi…
Maximum principle in linear finite element approximations of anisotropic diffusion-convection-reaction problems
Changna Lu, Weizhang Huang, Jianxian Qiu
A mesh condition is developed for linear finite element approximations of anisotropic diffusion-convection-reaction problems to satisfy a discrete maximum principle. Loosely speaki…