SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions (Q5045690)

scientific article; zbMATH DE number 7612911

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English	SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions	scientific article; zbMATH DE number 7612911

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instance of

scholarly article

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title

SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions (English)

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Advances in Applied Mathematics and Mechanics

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publication date

7 November 2022

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zbMATH Keywords

Peng-Robinson equation of state

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dynamic boundary conditions

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scalar auxiliary variable

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finite element method

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error estimates

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/aamm.oa-2021-0216

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cites work

Phase Transition Dynamics

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A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach

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A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State

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Parallel multilevel restricted Schwarz preconditioners for implicit simulation of subsurface flows with Peng-Robinson equation of state

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Unconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions

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Two-Phase Fluid Simulation Using a Diffuse Interface Model with Peng--Robinson Equation of State

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Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state

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Passing from bulk to bulk-surface evolution in the Allen-Cahn equation

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A Cahn-Hilliard model in a domain with non-permeable walls

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy

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Weak Solutions of the Cahn--Hilliard System with Dynamic Boundary Conditions: A Gradient Flow Approach

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Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy

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The scalar auxiliary variable (SAV) approach for gradient flows

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A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

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Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy

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Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system

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Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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Q4300595

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A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy

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A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

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A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions

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A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance

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Structure-Preserving, Energy Stable Numerical Schemes for a Liquid Thin Film Coarsening Model

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A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system

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An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels

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A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters

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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system

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Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

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Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations

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A novel lattice Boltzmann model for fourth order nonlinear partial differential equations

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Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows

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Stabilized exponential-SAV schemes preserving energy dissipation law and maximum bound principle for the Allen-Cahn type equations

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Identifiers

DOI

10.4208/aamm.OA-2021-0216

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5045690