A Quadratic Finite Volume Method for Parabolic Problems (Q6148559)

scientific article; zbMATH DE number 7787028

Language	Label	Description	Also known as
English	A Quadratic Finite Volume Method for Parabolic Problems	scientific article; zbMATH DE number 7787028

Statements

instance of

scholarly article

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title

A Quadratic Finite Volume Method for Parabolic Problems (English)

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published in

Advances in Applied Mathematics and Mechanics

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publication date

11 January 2024

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zbMATH Keywords

higher-order finite volume method

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parabolic problems

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error estimate

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.4208/aamm.oa-2021-0313

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cites work

High-Order Finite Element Methods for Singularly Perturbed Elliptic and Parabolic Problems

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Q4300595

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Parabolic finite volume element equations in nonconvex polygonal domains

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Some error estimates for the lumped mass finite element method for a parabolic problem

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A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations

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An adaptive finite element algorithm with reliable and efficient error control for linear parabolic problems

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Higher-order finite volume methods for elliptic boundary value problems

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A construction of higher-order finite volume methods

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Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach

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Q4162607

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A new weighted upwind finite volume element method based on non‐standard covolume for time‐dependent convection–diffusion problems

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Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations

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Q4936091

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The finite volume element method with quadratic basis functions

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A priori and a posteriori error estimates of the weak Galerkin finite element method for parabolic problems

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Symmetric finite volume discretizations for parabolic problems.

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On the Stability of the Discontinuous Galerkin Method for the Heat Equation

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Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method

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Q4331688

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Error estimates for finite volume element methods for convection--diffusion--reaction equations

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Multiscale finite volume method for finite-volume-based simulation of poroelasticity

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Long-time L∞(L2) a posteriori error estimates for fully discrete parabolic problems

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Q4360234

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$L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes

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Analysis of linear and quadratic simplicial finite volume methods for elliptic equations

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Unified analysis of higher-order finite volume methods for parabolic problems on quadrilateral meshes

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Biquadratic finite volume element methods based on optimal stress points for parabolic problems

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

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A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

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Weak Galerkin finite element method with second-order accuracy in time for parabolic problems

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An unconditionally stable quadratic finite volume scheme over triangular meshes for elliptic equations

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Identifiers

DOI

10.4208/aamm.oa-2021-0313

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6148559