Conservative Upwind Finite Element Approximation and Its Applications

Masahisa Tabata

doi:10.1016/S0304-0208(08)71124-1

Conservative Upwind Finite Element Approximation and Its Applications

Masahisa Tabata

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

5 Citations (Scopus)

Abstract

We present a finite element approximation which is effective for diffusion problems with dominated non-linear convection terms. This approximation is conservative and of upwind type. We analyse it in connection with L² -theory, L¹ -contraction and monotonicity. As an application we consider a non-linear elliptic problem and give error analysis. In the process the existence of the exact solution is also proved.

Original language	English
Pages (from-to)	369-381
Number of pages	13
Journal	North-Holland Mathematics Studies
Volume	47
Issue number	C
DOIs	https://doi.org/10.1016/S0304-0208(08)71124-1
Publication status	Published - 1981
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.1016/S0304-0208(08)71124-1

Fingerprint Dive into the research topics of 'Conservative Upwind Finite Element Approximation and Its Applications'. Together they form a unique fingerprint.

Cite this

@article{a53d5455275b46709bc9bf28bfa1aa4c,

title = "Conservative Upwind Finite Element Approximation and Its Applications",

abstract = "We present a finite element approximation which is effective for diffusion problems with dominated non-linear convection terms. This approximation is conservative and of upwind type. We analyse it in connection with L2 -theory, L1 -contraction and monotonicity. As an application we consider a non-linear elliptic problem and give error analysis. In the process the existence of the exact solution is also proved.",

author = "Masahisa Tabata",

year = "1981",

doi = "10.1016/S0304-0208(08)71124-1",

language = "English",

volume = "47",

pages = "369--381",

journal = "North-Holland Mathematics Studies",

issn = "0304-0208",

publisher = "Elsevier",

number = "C",

}

TY - JOUR

T1 - Conservative Upwind Finite Element Approximation and Its Applications

AU - Tabata, Masahisa

PY - 1981

Y1 - 1981

N2 - We present a finite element approximation which is effective for diffusion problems with dominated non-linear convection terms. This approximation is conservative and of upwind type. We analyse it in connection with L2 -theory, L1 -contraction and monotonicity. As an application we consider a non-linear elliptic problem and give error analysis. In the process the existence of the exact solution is also proved.

AB - We present a finite element approximation which is effective for diffusion problems with dominated non-linear convection terms. This approximation is conservative and of upwind type. We analyse it in connection with L2 -theory, L1 -contraction and monotonicity. As an application we consider a non-linear elliptic problem and give error analysis. In the process the existence of the exact solution is also proved.

UR - http://www.scopus.com/inward/record.url?scp=77956915554&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956915554&partnerID=8YFLogxK

U2 - 10.1016/S0304-0208(08)71124-1

DO - 10.1016/S0304-0208(08)71124-1

M3 - Article

AN - SCOPUS:77956915554

VL - 47

SP - 369

EP - 381

JO - North-Holland Mathematics Studies

JF - North-Holland Mathematics Studies

SN - 0304-0208

IS - C

ER -