Maximum-Principle-Preserving Local Discontinuous Galerkin Methods for Allen-Cahn Equations
Author:
Funder
National Natural Science Foundation of China
Hong Kong RGC General Research Fund
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
General Medicine
Link
https://link.springer.com/content/pdf/10.1007/s42967-020-00118-x.pdf
Reference44 articles.
1. Arnold, D.: An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19, 742–760 (1982)
2. Bassi, F., Rebay, S.: A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. J. Comput. Phys. 131, 267–279 (1997)
3. Cahn, J.W., Hilliard, J.E.: Free energy of a nonuniform system. I. Interfacial free energy. J. Chem. Phys. 28, 258–267 (1958)
4. Cahn, J.W., Hilliard, J.E.: Free energy of a nonuniform system. III. Nucleation in a two-component incompressible fluid. J. Chem. Phys. 31, 688–699 (1959)
5. Chen, Z., Huang, H., Yan, J.: Third order maximum-principle-satisfying direct discontinuous Galerkin method for time dependent convection diffusion equations on unstructured triangular meshes. J. Comput. Phys. 308, 198–217 (2016)
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