Concepedia

Convergence analysis of a temporally second-order accurate finite element scheme for the Cahn–Hilliard-Magnetohydrodynamics system of equations

Cheng Wang, Jilu Wang, Steven M. Wise, Zeyu Xia, Liwei Xu

Journal of Computational and Applied Mathematics · 2023 · 53 citations · 45 references

Concepts

EngineeringMathematicsPhysicsComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisFinite Element FormulationMagnetohydrodynamicsNumerical ConvergenceTime IntegrationCahn-hilliard EquationCahn-hilliard ModelingCahn-hilliard TheoryConvergence Rate AnalysisFinite Element ModelingHigh-order SchemesNumerical Magnetohydrodynamics

References

45

Free Energy of a Nonuniform System. I. Interfacial Free Energy

John W. Cahn, J. E. Hilliard · The Journal of Chemical Physics · 1958 · 10.3K citations

Natural Sciences, Chemistry, Physics +17

A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

Samuel M. Allen, John W. Cahn · Acta Metallurgica · 1979 · 3.7K citations

Natural Sciences, Physics, Condensed Matter Physics +14

Galerkin Finite Element Methods for Parabolic Problems

Rolf Rannacher, Vidar Thomée · Springer series in computational mathematics · 1985 · 2.2K citations

Computing, Computational Engineering, Computational Mechanics +16

Calculation of Two-Phase Navier–Stokes Flows Using Phase-Field Modeling

David Jacqmin · Journal of Computational Physics · 1999 · 1.6K citations

Natural Sciences, Computational Engineering, Physics +6

Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

Xiaofeng Yang · Journal of Computational Physics · 2016 · 475 citations

Natural Sciences, Materials Engineering, Materials Science +16