Linear relaxation schemes for the Allen-Cahn-type and Cahn-Hilliard-type phase field models
type: Item
instance of: scholarly article
title: Linear relaxation schemes for the Allen-Cahn-type and Cahn-Hilliard-type phase field models
zbMATH Open document ID: 1505.65264
author: Maosheng Jiang
author: Jia Zhao
published in: Applied Mathematics Letters
publication date: 2022-12-08T00:00:00Z
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 7630023
zbMATH Keywords: energy stable
zbMATH Keywords: phase field models
zbMATH Keywords: gradient flow system
zbMATH Keywords: linear relaxation technique
MaRDI profile type: Publication
full work available at URL: j.aml.2022.108477
OpenAlex ID: W4307295572
cites work: Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
cites work: Energy-stable Runge-Kutta schemes for gradient flow models using the energy quadratization approach
cites work: Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
cites work: The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
cites work: The scalar auxiliary variable (SAV) approach for gradient flows
cites work: A revisit of the energy quadratization method with a relaxation technique
cites work: Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
cites work: A Relaxation Scheme for the Nonlinear Schrödinger Equation
cites work: High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics
DOI: 10.1016/J.AML.2022.108477
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description: scientific article; zbMATH DE number 7630023