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A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation
Chun Liu, Cheng Wang, Yiwei Wang
A second-order accurate in time, positivity-preserving, and unconditionally energy stable operator splitting numerical scheme is proposed and analyzed for the system of reaction-di…
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang +1
We present a detailed convergence analysis for an operator splitting scheme proposed in [C. Liu et al.,J. Comput. Phys., 436, 110253, 2021] for a reaction-diffusion system with det…
A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
Chun Liu, Cheng Wang, Yiwei Wang
In this paper, we propose and analyze a positivity-preserving, energy stable numerical scheme for certain type reaction-diffusion systems involving the Law of Mass Action with the…
A Variational Lagrangian Scheme for a Phase Field Model: A Discrete Energetic Variational Approach
Chun Liu, Yiwei Wang
In this paper, we propose a variational Lagrangian scheme for a modified phase-field model, which can compute the equilibrium states for the original Allen-Cahn type model. Our dis…
On Lagrangian schemes for porous medium type generalized diffusion equations: a discrete energetic variational approach
Chun Liu, Yiwei Wang
In this paper, we present a systematic framework to derive a Lagrangian scheme for porous medium type generalized diffusion equations by employing a discrete energetic variational…