Unconditionally optimal error estimates of <scp>BDF2</scp> Galerkin method for semilinear parabolic equation (Q6087801)

scientific article; zbMATH DE number 7776083

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English	Unconditionally optimal error estimates of <scp>BDF2</scp> Galerkin method for semilinear parabolic equation	scientific article; zbMATH DE number 7776083

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instance of

scholarly article

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title

Unconditionally optimal error estimates of <scp>BDF2</scp> Galerkin method for semilinear parabolic equation (English)

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Numerical Methods for Partial Differential Equations

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publication date

12 December 2023

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zbMATH Keywords

BDF2 Galerkin method

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semilinear parabolic equation

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unconditionally optimal estimates

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/num.22733

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cites work

Q5318420

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A Finite Element Model for the Time-Dependent Joule Heating Problem

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Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity

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Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations

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Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization

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Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials

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TWO-SCALE PRODUCT APPROXIMATION FOR SEMILINEAR PARABOLIC PROBLEMS IN MIXED METHODS

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The Long-Time Behavior of Finite-Element Approximations of Solutions to Semilinear Parabolic Problems

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Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations

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Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media

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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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Two-Level Discrete-Time Galerkin Approximations for Second Order Nonlinear Parabolic Partial Differential Equations

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Superconvergence analysis of a two-grid method for semilinear parabolic equations

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Unconditional superconvergence analysis for nonlinear parabolic equation with $EQ_1^{rot}$ nonconforming finite element

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Unconditional optimal error estimates of a two-grid method for semilinear parabolic equation

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On Galerkin Methods in Semilinear Parabolic Problems

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Optimal H<sup>1</sup> Estimates for two Time-discrete Galerkin Approximations of a Nonlinear Schrödinger Equation

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Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system

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A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6087801