新截片法 的英文怎麼說
中文拼音 [xīnjiépiānfǎ]
新截片法
英文
new strimethod-
In chapter one, we propose a new mixed method called characteristics mixed finite element method for a convection - dominated diffusion problems with small parameter e : we handle the convection part whth backward difference scheme along the characteristics, obtain much smaller time - trunction errors and avoid numerical dispersion on the front of the peak curve of the flow : we use a lowest order mixed finite element method to deal with the diffusion part, so this scheme can approximate the unknow function and its following vector with high accuracy at the same time
第一章中我們對小參數對流占優擴散問題提出了新的數值方法? ?特徵混合有限元方法，即對方程的對流部分採用沿特徵線的後退差分格式求解，以保證較小的截斷誤差限並避免了在流動的鋒線前沿數值彌散現象的出現；對流動的擴散部分採用最低次混合元方法求解，以保證格式對未知函數及伴隨向量的同時高精度逼近。由於該方法中檢驗函數可取分片常數，此格式在某種意義上具有局部守恆性質。
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