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20112024
most citedEnergy Stable and Efficient Finite-Difference Nonlinear Multigrid Schemes for the Modified Phase Field Crystal Equation

166 citations · 770 across the 33 of their papers we have counts for

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Showing 2017 · math.NAShow all

5 papers · 2 filters

math.NA2017★ 3 cited

An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation

Kelong Cheng, Wenqiang Feng, Cheng Wang +1

In this paper we propose and analyze an energy stable numerical scheme for the Cahn-Hilliard equation, with second order accuracy in time and the fourth order finite difference app…

math.NA2017★ 16 cited

Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential

Wenbin Chen, Cheng Wang, Xiaoming Wang +1

We present and analyze finite difference numerical schemes for the Allen Cahn/Cahn-Hilliard equation with a logarithmic Flory Huggins energy potential. Both the first order and sec…

math.NA2017

Convexity splitting in a phase field model for surface diffusion

Rainer Backofen, Steven M. Wise, Marco Salvalaglio +1

Convexity splitting like schemes with improved accuracy are proposed for a phase field model for surface diffusion. The schemes are developed to enable large scale simulations in t…

math.NA2017★ 4 cited

A Second-Order Energy Stable Backward Differentiation Formula Method for the Epitaxial Thin Film Equation with Slope Selection

Wenqiang Feng, Cheng Wang, Steven M. Wise +1

In this paper, we study a novel second-order energy stable Backward Differentiation Formula (BDF) finite difference scheme for the epitaxial thin film equation with slope selection…

math.NA2017★ 96 cited

Mass Conservative and Energy Stable Finite Difference Methods for the Quasi-incompressible Navier-Stokes-Cahn-Hilliard system: Primitive Variable and Projection-Type Schemes

Zhenlin Guo, Ping Lin, Steven Wise +1

In this paper we describe two fully mass conservative, energy stable, finite difference methods on a staggered grid for the quasi-incompressible Navier-Stokes-Cahn-Hilliard (q-NSCH…