113 citations · 631 across the 32 of their papers we have counts for
3 papers · 1 filter
A Cylindrical Basis Function for Solving Partial Differential Equations on Manifolds
E. O. Asante-Asamani, Lei Wang, Zeyun Yu
Numerical solutions of partial differential equations (PDEs) on manifolds continues to generate a lot of interest among scientists in the natural and applied sciences. On the other…
Adaptive Finite Element Methods with Inexact Solvers for the Nonlinear Poisson-Boltzmann Equation
Michael Holst, Ryan Szypowski, Yunrong Zhu
In this article we study adaptive finite element methods (AFEM) with inexact solvers for a class of semilinear elliptic interface problems. We are particularly interested in nonlin…
Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation
Michael Holst, James Andrew McCammon, Zeyun Yu +2
We develop an efficient and reliable adaptive finite element method (AFEM) for the nonlinear Poisson-Boltzmann equation (PBE). We first examine the regularization technique of Chen…