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Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen-Cahn equations - MaRDI portal

Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen-Cahn equations (Q6604191)

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scientific article; zbMATH DE number 7912565

Language	Label	Description	Also known as
English	Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen-Cahn equations	scientific article; zbMATH DE number 7912565

Statements

scholarly article

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Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen-Cahn equations (English)

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Communications in Nonlinear Science and Numerical Simulation

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publication date

12 September 2024

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zbMATH Keywords

vector-valued Allen-Cahn equations

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unconditional MBP preservation

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energy stability

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exponential time differencing

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convergence analysis

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MaRDI profile type

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Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

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A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations

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Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential

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On the maximum principle preserving schemes for the generalized Allen-Cahn equation

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Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential

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

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A new Lagrange multiplier approach for gradient flows

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A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving

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Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations

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Color Image Segmentation by the Vector-Valued Allen–Cahn Phase-Field Model: A Multigrid Solution

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Phase-Field Models for Multi-Component Fluid Flows

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Energy stable numerical schemes for ternary Cahn-Hilliard system

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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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Second-order stabilized semi-implicit energy stable schemes for bubble assemblies in binary and ternary systems

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An efficient time-dependent auxiliary variable approach for the three-phase conservative Allen-Cahn fluids

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A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model

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Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach

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A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system

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Unconditionally energy stable large time stepping method for the \(L^2\)-gradient flow based ternary phase-field model with precise nonlocal volume conservation

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Robust Multigrid Methods for Vector-valued Allen–Cahn Equations with Logarithmic Free Energy

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An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations

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Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations

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Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model

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Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model

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A new class of time discretization schemes for the solution of nonlinear PDEs

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Exponential time differencing for stiff systems

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A fast compact time integrator method for a family of general order semilinear evolution equations

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Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems

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Fast explicit integration factor methods for semilinear parabolic equations

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

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Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation

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Unconditionally stable exponential time differencing schemes for the mass‐conserving <scp>Allen<b>–</b>Cahn</scp> equation with nonlocal and local effects

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Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint

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Stabilized exponential time differencing schemes for the convective Allen-Cahn equation

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Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation

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An Energy Stable and Maximum Bound Principle Preserving Scheme for the Dynamic Ginzburg–Landau Equations under the Temporal Gauge

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

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Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle

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Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

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Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models

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Identifiers

10.1016/j.cnsns.2024.108271

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6604191

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