A new upwind-type finite element scheme is proposed for convection-diffusion problems in irrotational flows. It is derived from a minimization problem in a function space weighted by an exponential function. This scheme preserves the positivity of solutions and is regarded as a natural extension of Il'in's scheme to higher dimensional problems. Some numerical results are also shown.
|Title of host publication||Theoretical and Applied Mechanics|
|Place of Publication||Tokyo, Jpn|
|Publisher||Univ of Tokyo Press|
|Number of pages||6|
|Publication status||Published - 1986|
ASJC Scopus subject areas
- Mechanics of Materials