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 | |
| Publication status | Published - 1981 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Conservative Upwind Finite Element Approximation and Its Applications. / Tabata, Masahisa.
In: North-Holland Mathematics Studies, Vol. 47, No. C, 1981, p. 369-381.Research output: Contribution to journal › Article
}
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.
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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
VL - 47
SP - 369
EP - 381
JO - North-Holland Mathematics Studies
JF - North-Holland Mathematics Studies
SN - 0304-0208
IS - C
ER -