Superconvergence analysis of the nonconforming FEM for the Allen-Cahn equation with time Caputo-Hadamard derivative (Q6558866)

scientific article; zbMATH DE number 7868601

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English	Superconvergence analysis of the nonconforming FEM for the Allen-Cahn equation with time Caputo-Hadamard derivative	scientific article; zbMATH DE number 7868601

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scholarly article

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title

Superconvergence analysis of the nonconforming FEM for the Allen-Cahn equation with time Caputo-Hadamard derivative (English)

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21 June 2024

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zbMATH Keywords

Caputo-Hadamard derivative

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Allen-Cahn equation

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nonconforming FEM

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convergence

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MaRDI profile type

Publication

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cites work

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A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations

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Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem

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A nonuniform \(\mathrm{L}2-1_\sigma\)/LDG method for the Caputo-Hadamard time-fractional convection-diffusion equation

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A numerical approximation for the Caputo-Hadamard derivative and its application in time-fractional variable-coefficient diffusion equation

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The Allen-Cahn equation with a time Caputo-Hadamard derivative: mathematical and numerical analysis

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Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications

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WELL-POSEDNESS AND REGULARITY OF CAPUTO–HADAMARD TIME-FRACTIONAL DIFFUSION EQUATIONS

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Diffusion in Allen-Cahn equation: normal vs anomalous

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Nonconforming quadrilateral finite element method for a class of nonlinear sine-Gordon equations

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Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations

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Anisotropic interpolation and quasi-Wilson element for narrow quadrilateral meshes

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Q4504839

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Superconvergence analysis of anisotropic linear triangular finite element for nonlinear Schrödinger equation

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Superconvergence analysis of nonconforming finite element method for two-dimensional time-fractional Allen-Cahn equation

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Galerkin Finite Element Methods for Parabolic Problems

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A sharp \(\alpha\)-robust \(L^\infty (H^1)\) error bound for a time-fractional Allen-Cahn problem discretised by the Alikhanov \(L2-1_\sigma\) scheme and a standard FEM

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Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations

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Identifiers

zbMATH Open document ID

1541.65114

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Mathematics Subject Classification ID

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10.1016/J.PHYSD.2024.134201

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Sitelinks

Mathematics(1 entry)

mardi Publication:6558866