A Theoretical and Computational Study of Upwind-Type Finite Element Methods

Masahisa Tabata

doi:10.1016/S0168-2024(08)70135-8

A Theoretical and Computational Study of Upwind-Type Finite Element Methods

Masahisa Tabata^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

Abstract: Upwind-type finite element methods are studied from both theoretical and computational aspects. Eight schemes are discussed from the points of nonnegativity preserving property and crosswind diffusion. They are also compared by numerical results for a convection dominated model problem.

Original language	English
Pages (from-to)	319-356
Number of pages	38
Journal	Studies in Mathematics and its Applications
Volume	18
Issue number	C
DOIs	https://doi.org/10.1016/S0168-2024(08)70135-8
Publication status	Published - 1986
Externally published	Yes

Keywords

convection-diffusion equation
cross-wind diffusion
monotone scheme
upwind-type finite element method

ASJC Scopus subject areas

Applied Mathematics

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10.1016/S0168-2024(08)70135-8

Cite this

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title = "A Theoretical and Computational Study of Upwind-Type Finite Element Methods",

abstract = "Abstract: Upwind-type finite element methods are studied from both theoretical and computational aspects. Eight schemes are discussed from the points of nonnegativity preserving property and crosswind diffusion. They are also compared by numerical results for a convection dominated model problem.",

keywords = "convection-diffusion equation, cross-wind diffusion, monotone scheme, upwind-type finite element method",

author = "Masahisa Tabata",

year = "1986",

doi = "10.1016/S0168-2024(08)70135-8",

language = "English",

volume = "18",

pages = "319--356",

journal = "Studies in Mathematics and its Applications",

issn = "0168-2024",

publisher = "Elsevier",

number = "C",

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TY - JOUR

T1 - A Theoretical and Computational Study of Upwind-Type Finite Element Methods

AU - Tabata, Masahisa

PY - 1986

Y1 - 1986

N2 - Abstract: Upwind-type finite element methods are studied from both theoretical and computational aspects. Eight schemes are discussed from the points of nonnegativity preserving property and crosswind diffusion. They are also compared by numerical results for a convection dominated model problem.

AB - Abstract: Upwind-type finite element methods are studied from both theoretical and computational aspects. Eight schemes are discussed from the points of nonnegativity preserving property and crosswind diffusion. They are also compared by numerical results for a convection dominated model problem.

KW - convection-diffusion equation

KW - cross-wind diffusion

KW - monotone scheme

KW - upwind-type finite element method

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U2 - 10.1016/S0168-2024(08)70135-8

DO - 10.1016/S0168-2024(08)70135-8

M3 - Article

AN - SCOPUS:77957098957

SN - 0168-2024

VL - 18

SP - 319

EP - 356

JO - Studies in Mathematics and its Applications

JF - Studies in Mathematics and its Applications

IS - C

ER -

A Theoretical and Computational Study of Upwind-Type Finite Element Methods

Abstract

Keywords

ASJC Scopus subject areas

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