218 citations · 812 across the 13 of their papers we have counts for
3 papers · 1 filter
Energy Stable Multigrid Method for Local and Non-local Hydrodynamic Models for Freezing
Arvind Baskaran, Zhen Guan, John Lowengrub
In this paper we present a numerical method for hydrodynamic models that arise from time dependent density functional theories of freezing. The models take the form of compressible…
Energy Stable and Efficient Finite-Difference Nonlinear Multigrid Schemes for the Modified Phase Field Crystal Equation
Arvind Baskaran, Peng Zhou, Zhengzheng Hu +3
In this paper we present two unconditionally energy stable finite difference schemes for the Modified Phase Field Crystal (MPFC) equation, a sixth-order nonlinear damped wave equat…
Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
Arvind Baskaran, John Lowengrub, Cheng Wang +1
In this paper we provide a detailed convergence analysis for an unconditionally energy stable, second-order accurate convex splitting scheme for the Modified Phase Field Crystal eq…