【摘要】 <正>在n维空间的有界区域Ω₁上考虑微分方程:下面的假设下讨论（1.1）:更多还原

【Abstract】 In this paper, the results of extrapolation of fictitious methods is extended to the higher order case. A sequence of functions {vk}k=1∞ independent of ω is constructed. It is proved that for the Dirichlet problem of an elliptic equation in a bounded domain Ω1, the solution u and the solution ωεof the corresponding fictitious domain method with parameter ε have the relationwhere c is a constant. The above estimate leads to a higher order extrapolation algorithm with respect to ε than in [1].更多还原