實現(xiàn)Ricatti變換的有限元網(wǎng)格的自動剖分
AUTOMATIC GENERATION OF FINITE ELEMENT MESHES FOR THE REALIZATION OF RICATTI TRANSFORMATION
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摘要: 本文探討了用單矩量法求解任意截面介質(zhì)柱體電磁散射問題的計算技術(shù),在用有限元法求解數(shù)學(xué)圓內(nèi)部的場時,從計算程序上實現(xiàn)了解線性方程組的Ricatti變換法,以矩形柱體為例,采用了實現(xiàn)Ricatti變換的有限元網(wǎng)格的自動剖分技術(shù),證明采用這些技術(shù)和方法在減少所占計算機(jī)內(nèi)存、節(jié)省計算時間和簡化有限元法的前處理工作等方面有顯著效果,并為編制通用計算程序提供了條件。
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關(guān)鍵詞:
Abstract: Some computing techniques of the unimoment method for solving electromagnetic scattering problems of a dielectric cylinder with arbitrary cross section are investigated. Rieatti transformation is used in solving the set of linear equations for finding the internal fields inside the mathematical circle and its computer program is realized. With the exam-ple of a rectangular cylinder, automatic generation of finite element mesh realizing Ricatti transformation is illustrated. It is seen that by using the above techniques and methods, effects in saving the memory capacity and the computing time of the computer and in simplifying the previous procedure of the finite element method are obvious; and also the convenience for the formation of a universal computer program is provided. -
K. K.Mei IEEE Trans. on AP,AP-22(1974),760.[2]R .E.Stovall and K. K. Mei, IEEE Trans. on AP, AP-23(1975), 335.[3]Shu-Kong Chang and K. K. Mei, IEEE Trans. on AP, AP-24(1976), 35.[4]孫乃華,華東師范大學(xué)學(xué)報(自然科學(xué)版),1982年,第1期,第35頁. -
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