超橢圓積分 的英文怎麼說
中文拼音 [chāotuǒyuánjīfēn]
超橢圓積分
英文
hyperelliptic integral- 超 : Ⅰ動詞1 （越過; 高出） exceed; surpass; overtake 2 （在某個范圍以外; 不受限制） transcend; go beyo...
- 橢 : Ⅰ形容詞（卵形） oval-shapedⅡ名詞[書面語] （長圓形的容器） elliptic vessel
- 積 : Ⅰ動詞（積累） amass; store up; accumulate Ⅱ形容詞（長時間積累下來的） long standing; long pending...
- 分 : 分Ⅰ名詞1. （成分） component 2. （職責和權利的限度） what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] （料想） judge
- 橢圓 : [數學] oval; oval shaped; ellipse; ellipsoid橢圓規 ellipsograph; [圖] elliptic trammel; 橢圓軌道 ...
- 積分 : 1. [數學] integral; integrate; integration 2. [體育] （積累的分數） accumulate points
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According to the constitutive relationship in linear piezoceramics, elliptical crack problems in impermeable case are analyzed with hypersingular integral equation method
摘要在線性壓電陶瓷本構關系和裂紋邊界絕緣的框架下，用超奇異積分方程的方法對橢圓類片狀裂紋問題進行了重新研究。Unknown displacement and electric potential jumps in the integral equations are approximated with a product of fundamental density function and polynomials, in which the fundamental density function reflects singular behavior of electroelastic fields near the crack front and the polynomials can be reduced to a real constant under uniform loading
超奇異積分方程中的未知位移間斷和電勢間斷近似地表示為基本密度函數與多項式之積，其中基本密度函數反映了橢圓片狀裂紋前沿電彈性場的奇異性，而多項式在均布載荷作用下可用一個常數來表達。There are many papers ( cf [ l ] - [ 3 ] ) have studied the method and error estimate for boundary integeral equation and elliptic boundary value problems, and obtain some superconvergent results by varied post - processings such as interpolation, average and extrapolation etc. in this paper, we mainly study the galerkin solution for first - kind boundary integeral equation and elliptic boundary value preblem. further more we can obtain superconvergence results by ( l _ ( 2 ) project ion ) least - squares processing for derivative of elliptic boundary value problems
對于邊界積分方程與橢圓邊值問題的解法及誤差估計已有很多文章（參[ 1 ] - [ 3 ] ）研究，並且通過各種后處理如插值、平均、外推等得到一系列的超收斂結果，本文則著重探討一型邊界積分方程galerkin解通過l ~ 2投影（最小二乘）運算元處理后以及橢圓邊值問題的導數進行l ~ 2投影（最小二乘法）處理后可獲得超收斂結果。
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