\(C^1\) continuous \(h\)-adaptive least-squares spectral element method for phase-field models

DOI10.1016/j.camwa.2017.11.026zbMath1409.82016OpenAlexW2772118553MaRDI QIDQ1732423

Maria Fernandino, Keunsoo Park, M. I. Gerritsma

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.11.026

zbMATH Keywords

least-squaresadaptive meshphase-fieldCahn-HilliardKorteweghermite polynomials

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Uses Software

• parDG

Cites Work

• Axioms of adaptivity
• Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
• The least squares spectral element method for the Cahn-Hilliard equation
• An \(h\)-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations
• Phase-field simulations of interfacial dynamics in viscoelastic fluids using finite elements with adaptive meshing
• Least-squares finite element methods
• Application of mortar elements to diffuse-interface methods
• Thermodynamically-consistent phase-field models for solidification
• The least-squares spectral element method for phase-field models for isothermal fluid mixture
• Modeling melt convection in phase-field simulations of solidification
• Modeling of soft matter. Selected papers based on the presentation at the workshop, Minneapolis, MN, USA, September 27--October 1, 2004.
• A nonstiff, adaptive mesh refinement-based method for the Cahn-Hilliard equation
• \(hp\)-adaptive least squares spectral element method for hyperbolic partial differential equations
• Adaptive non-conformal mesh refinement and extended finite element method for viscous flow inside complex moving geometries
• Fractional step two-phase flow lattice Boltzmann model implementation
• Approximation of Cahn-Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening withC¹elements
• Cahn–Hilliard modeling of particles suspended in two‐phase flows
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• A new sequence of hierarchic prismatic elements satisfying De Rham diagram on hybrid meshes
• Unnamed Item

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