有限元方法 II, 2023秋
答疑时间: 周二 8:30 am -- 9:50 am, 理科一号楼1494E
参考教材: (BS) The Mathematical Theory of Finite Element Methods, by Susanne C. Brenner and L. Ridgway Scott
(C) The Finite Element Method for Elliptic Problems, by Philippe G. Ciarlet
(BBF) Mixed Finite Element Methods and Applications, by Daniele Boffi, Franco Brezzi, and Michel Fortin
(G) Elliptic Problems in Nonsmooth Domains, by Pierre Grisvard
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上机作业: lab1
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课程计划:
周一
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周二
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周三
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周四
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周五
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第1周
(09/11-09/15)
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Introduction | Sobolev spaces |
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第2周
(09/18-09/22)
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第3周
(09/25-09/29)
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Sobolev spaces |
Construction of Finite Elements hw1 |
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第4周
(10/02-10/06)
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国庆放假 |
国庆放假 | |||
第5周
(10/09-10/13)
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Construction of Finite Elements | Polynomial approximation theory |
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第6周
(10/16-10/20)
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Polynomial approximation theory hw2 |
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第7周
(10/23-10/27)
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n-dimensional problems | n-dimensional problems | |||
第8周
(10/30-11/03)
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Variational crimes | ||||
第9周
(11/06-11/10)
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Variational crimes | Adaptive FEM |
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第10周
(11/13-11/17)
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Adaptive FEM hw3 |
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第11周
(11/20-11/24)
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Babuska & Brezzi Theory |
Babuska & Brezzi Theory | |||
第12周
(11/27-12/01)
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FE for H(div) and H(curl) |
FE for H(div) and H(curl) |
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第13周
(12/04-12/08)
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FE for H(div) and H(curl) | mixed FEM for Stokes hw4 |
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第14周
(12/11-12/15)
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mixed FEM for Stokes
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第15周
(12/18-12/22)
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mixed FEM for Stokes hw5 |
上课 |
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第16周
(12/25-12/29)
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随堂考试 |