抛物问题有限元解的渐近展式及外推

A symptotic expansions of the F.E.approximation for parabolic problems

本文讨论模型问题u/t=△u+f,u=0在Ω×[0,T]上,u(0,·)=u_0通过研究L_2一投影的渐近展式及解的半群表示,对半离散及全离散问题均得到了渐近展式。

in this paper we consider the model problem(?u)/(?t)=Δu + ?, u = 0 on ?Ω×[0,T]and U(0,·) =u_o,we have obtained the aspmptotic expansions both for semidiscretization and full-discretization by studying the properties of L_2-projection andsemigronp representations of the solutions.