Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation (Q6150390)

scientific article; zbMATH DE number 7800812

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English	Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation	scientific article; zbMATH DE number 7800812

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scholarly article

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title

Stability and error estimates of high order BDF-LDG discretizations for the Allen-Cahn equation (English)

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Computational Mathematics and Mathematical Physics

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publication date

6 February 2024

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zbMATH Keywords

local discontinuous Galerkin discretizations

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backward differentiation formulas

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Allen-Cahn equation

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stability

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error estimates

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MaRDI profile type

MaRDI publication profile

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cites work

An explicit nonstandard finite difference scheme for the Allen–Cahn equation

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Error estimates for fully discrete BDF finite element approximations of the Allen–Cahn equation

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A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation

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A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

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Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids

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TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework

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The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems

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Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems

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Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations

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Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow

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Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise

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High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

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Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation

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A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis

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Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions

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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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Q4303980

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Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

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Simple and Efficient ALE Methods with Provable Temporal Accuracy up to Fifth Order for the Stokes Equations on Time Varying Domains

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Diagonally implicit Runge-Kutta methods for stiff problems

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Stability of high order finite difference and local discontinuous Galerkin schemes with explicit-implicit-null time-marching for high order dissipative and dispersive equations

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Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems

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Convergence analysis of the fully discrete hybridizable discontinuous Galerkin method for the Allen-Cahn equation based on the invariant energy quadratization approach

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Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation

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Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations

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Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit

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Identifiers

Mathematics Subject Classification ID

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10.1134/S0965542523120229

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Sitelinks

Mathematics(1 entry)

mardi Publication:6150390