This is the third part of the paper for the rotated Q(1) nonconforming element on quadrilateral meshes for general second order elliptic problems. Some optimal numerical formulas are presented and analyzed. The novelty is that it includes a formula with only two sampling points which excludes even a Q(1) unisolvent set. It is the optimal numerical integration formula over a quadrilateral mesh with least sampling points up to now.
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Key Lab Computat Math & Data Intelligence Liaonin, Dalian 116024, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Meng, Zhaoliang
Cui, Jintao
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Jinan Univ, Dept Math, Guangzhou 510632, Peoples R China
Hong Kong Polytech Univ, Dept Appl Math, Hung Hum, Hong Kong, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Cui, Jintao
Luo, Zhongxuan
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Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
Dalian Univ Technol, Sch Software, Dalian 116620, Peoples R ChinaDalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
机构:
Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R ChinaChinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Ming, Pingbing
Shi, Zhong-Ci
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Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R ChinaChinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
Shi, Zhong-Ci
Xu, Yun
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Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R ChinaChinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China