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.
|ホスト出版物のタイトル||Theoretical and Applied Mechanics|
|Place of Publication||Tokyo, Jpn|
|出版社||Univ of Tokyo Press|
|出版ステータス||Published - 1986|
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