Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

O. Pironneau; M. Tabata

doi:10.1002/fld.2459

Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

O. Pironneau, M. Tabata^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

A Galerkin-characteristics finite element scheme of lumped mass type is presented for the convection-diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be stable and convergent in the L^∞-norm. Using the Freefem, we show 2D and 3D numerical examples, which reflect the robustness of the scheme and the theoretical convergence result.

Original language	English
Pages (from-to)	1240-1253
Number of pages	14
Journal	International Journal for Numerical Methods in Fluids
Volume	64
Issue number	10-12
DOIs	https://doi.org/10.1002/fld.2459
Publication status	Published - 2010

Keywords

Convection-diffusion equation
Galerkin-characteristics FEM
Lamped mass approximation
Stability and convergence

ASJC Scopus subject areas

Computer Science Applications
Computational Mechanics
Applied Mathematics
Mechanical Engineering
Mechanics of Materials

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10.1002/fld.2459

Cite this

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abstract = "A Galerkin-characteristics finite element scheme of lumped mass type is presented for the convection-diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be stable and convergent in the L∞-norm. Using the Freefem, we show 2D and 3D numerical examples, which reflect the robustness of the scheme and the theoretical convergence result.",

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AU - Pironneau, O.

AU - Tabata, M.

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AB - A Galerkin-characteristics finite element scheme of lumped mass type is presented for the convection-diffusion problems. Under the weakly acute triangulation hypothesis the scheme is proved to be stable and convergent in the L∞-norm. Using the Freefem, we show 2D and 3D numerical examples, which reflect the robustness of the scheme and the theoretical convergence result.

KW - Convection-diffusion equation

KW - Galerkin-characteristics FEM

KW - Lamped mass approximation

KW - Stability and convergence

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JF - International Journal for Numerical Methods in Fluids

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ER -

Stability and convergence of a Galerkin-characteristics finite element scheme of lumped mass type

Abstract

Keywords

ASJC Scopus subject areas

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