论文摘要
首先本文构造了两个新的可用于求解三维Stokes问题的各向异性非协调混合有限元格式，并且通过引入新的技巧，在各向异性网格下得到了最优的误差估计。这两种单元具有构造简单，整体自由度少的特点，是到目前为止较为理想的单元。 其次，在各向异性网格下研究了纯位移平面弹性问题的非协调Crouzeix-Raviart三角形有限元逼近。当Lamé常数λ→∞时该单元是非闭锁的。通过引入新的特殊技巧和方法得到了能量范数及L2-范数的最优误差估计，从而克服了传统有限元方法对网格剖分要求满足正则性假设或拟一致假设等严重缺陷，拓宽了非协调有限元的应用范围。
论文目录
相关论文文献
- [1].台风过程中浪致Stokes漂流对海洋上层温度影响的数值模拟[J]. 海洋与湖沼 2019(06)
- [2].Nanocrystals for large Stokes shift-based optosensing[J]. Chinese Chemical Letters 2019(10)
- [3].Stokes漂流对北太平洋海表温度的影响研究[J]. 海洋科学进展 2017(04)
- [4].Stokes漂流对全球海表面温度模拟的影响[J]. 海洋通报 2018(01)
- [5].A note on general solution of Stokes equations[J]. Acta Mechanica Sinica 2016(06)
- [6].Chinese Quarterly Journal of Mathematics Total Contents of Vol.3[J]. 数学季刊(英文版) 2016(04)
- [7].On the solution of Stokes equations for plane boundaries[J]. Acta Mechanica Sinica 2017(01)
- [8].全球Stokes漂流的时空分布特征研究[J]. 海洋科学 2015(01)
- [9].Stokes层的流动特性研究综述[J]. 淮阴工学院学报 2019(05)
- [10].双重介质Stokes模型的改进变分时间步格式（英文）[J]. 工程数学学报 2019(06)
- [11].Stokes参数在油菜长势监测中的可行性分析[J]. 武汉大学学报(信息科学版) 2020(02)
- [12].Coaxial Multi-Wavelength Generation in YVO_4 Crystal with Stimulated Raman Scattering Excited by a Picosecond-Pulsed 1064 Laser[J]. Chinese Physics Letters 2020(04)
- [13].Diagnostic of spectral lines in magnetized solar atmosphere:Formation of the Hβ line in sunspots[J]. Science China(Physics,Mechanics & Astronomy) 2020(11)
- [14].Experimental study on the Stokes effect in disordered birefringent microstructure fibers[J]. Chinese Physics B 2014(08)
- [15].Fundamental Solution of Rotating Generalized Stokes Problem in R~3[J]. Acta Mathematicae Applicatae Sinica(English Series) 2011(04)
- [16].High peak power first,second,and third order Stokes pulses based on intracavity self-stimulated Raman scattering lasers[J]. Chinese Optics Letters 2010(03)
- [17].三维Stokes问题的一个非协调有限元分析[J]. 西南民族大学学报(自然科学版) 2010(03)
- [18].Stokes问题的非协调有限元分析[J]. 高校应用数学学报A辑 2010(04)
- [19].非定常Stokes方程混合有限元方法[J]. 山东大学学报(理学版) 2008(10)
- [20].Study on picosecond pulse-train multi-wavelength Raman laser operating at two Raman modes without tuning[J]. Optoelectronics Letters 2020(01)
- [21].First-Stokes Wavelengths at 1175.8 and 1177.1 nm Generated in a Diode End-Pumped Nd:YVO_4/LuVO_4 Raman Laser[J]. Chinese Physics Letters 2019(01)
- [22].二维Stokes波与多块浮冰相互作用数值模拟[J]. 水动力学研究与进展(A辑) 2019(02)
- [23].Multifunctional geometric phase optical element for high-efficiency full Stokes imaging polarimetry[J]. Photonics Research 2019(09)
- [24].高光谱偏振成像全Stokes参量获取新方法（英文）[J]. 光谱学与光谱分析 2017(12)
- [25].Third-Order Stokes Wave Solutions of the Free Surface Capillary-Gravity Wave and the Interfacial Internal Wave[J]. China Ocean Engineering 2017(06)
- [26].漂移项加控制的随机Stokes系统的零能控[J]. 四川大学学报(自然科学版) 2017(05)
- [27].A red-emitting water-soluble fluorescent probe for biothiol detection with a large Stokes shift[J]. Chinese Chemical Letters 2019(03)
- [28].Non-Stokes drag coefficient in single-particle electrophoresis:New insights on a classical problem[J]. Chinese Physics B 2019(08)
- [29].Asymptotics of Stationary Navier Stokes Equations in Higher Dimensions[J]. Acta Mathematica Sinica 2018(04)
- [30].一类含线性阻尼的非线性自治g-Navier-Stokes系统解的渐近光滑效应[J]. 西北大学学报(自然科学版) 2017(04)