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 |
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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 |
ASJC Scopus subject areas
- Mathematics(all)