Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem (Q2008503)

scientific article; zbMATH DE number 7136522

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English	Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem	scientific article; zbMATH DE number 7136522

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instance of

scholarly article

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title

Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem (English)

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Applied Mathematics and Computation

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publication date

26 November 2019

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zbMATH Keywords

nonlinear Joule heating equations

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nonconforming FEM

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semi-discrete and a linearized fully-discrete schemes

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superclose and superconvergent estimates

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.amc.2018.10.018

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cites work

Existence of solutions for the time-dependent thermistor equations

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Existence and long time behaviour of solutions to obstacle thermistor equations

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Linearly implicit finite element methods for the time-dependent Joule heating problem

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Q5318420

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Existence of weak solutions for the nonstationary problem of the Joule heating of a conductor

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Two-grid method for nonlinear parabolic equations by expanded mixed finite element methods

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Q4162607

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Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems

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Discontinuous Galerkin Method

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

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$P _{1}$-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations

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Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations

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Unconditional optimal error estimates of BDF-Galerkin FEMs for nonlinear thermistor equations

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Lower bounds for eigenvalues of elliptic operators: by nonconforming finite element methods

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Q5866757

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Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation

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New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements

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Uniform optimal-order estimates for finite element methods for advection-diffusion equations

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Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

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A locking-free nonconforming finite element method for planar linear elasticity

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Q3443098

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<i>P</i><sub>1</sub>-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

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Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media

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Simple nonconforming quadrilateral Stokes element

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Superconvergence of a nonconforming low order finite element

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Error analysis of finite element method for Poisson-Nernst-Planck equations

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A new superconvergence property of Wilson nonconforming finite element

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Anisotropic nonconforming $EQ_1^{rot}$ quadrilateral finite element approximation to second-order elliptic problems

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Superconvergence analysis for nonlinear parabolic equation with $EQ_1^{\mathrm{rot}}$ nonconforming finite element

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$EQ^{\text{rot}}_1$ nonconforming finite element approximation to Signorini problem

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Anisotropic Crouzeix-Raviart Type Nonconforming Finite Element Methods to Variational Inequality Problem with Displacement Obstacle

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A class of Crouzeix-Raviart type nonconforming finite element methods for parabolic variational inequality problem with moving grid on anisotropic meshes

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A locking-free anisotropic nonconforming finite element for planar linear elasticity problem

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Superconvergence analysis of finite element method for time-fractional thermistor problem

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Error estimates for a discontinuous Galerkin method with interior penalties applied to nonlinear Sobolev equations

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Existence for the thermoelastic thermistor problem

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Q4308566

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Regularity of solutions of the thermistor problem

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Existence and Uniqueness of the $C^\alpha $ Solution for the Thermistor Problem with Mixed Boundary Value

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Finite difference method and its convergent error analyses for thermistor problem

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Numerical solutions of the thermistor equations

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Superconvergence of an $H^1$-Galerkin nonconforming mixed finite element method for a parabolic equation

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$\mathrm{EQ}_1^{\mathrm{rot}}$ nonconforming finite element method for nonlinear dual phase lagging heat conduction equations

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Identifiers

zbMATH Open document ID

1429.65231

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Mathematics Subject Classification ID

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10.1016/J.AMC.2018.10.018

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Sitelinks

Mathematics(1 entry)

mardi Publication:2008503