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Hybrid Nitsche method for distributed computing

delete2026-02-02
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OA
AI
T
Tom Gustafsson
A
Antti Hannukainen
V
Vili Kohonen *
J
Juha Videman
DOI：10.1007/s10543-026-01107-xdelete
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摘要

摘要

En 中文
我们基于模型降阶方法，采用混合Nitsche格式将一种分布式有限元方法推广至任意多项式阶数。该方法显著简化了大问题中有限元系统向降维基的转换。我们证明了降维Nitsche解的误差在有限元空间逼近阶数下最优收敛，并在降维参数下线性收敛。采用二阶多项式基的非平凡四面体网格数值测试支持了理论结果。
Keyword:
Finite element method
Partial differential equations
Nitsche's method
Model order reduction
Distributed computing
Cloud computing
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期刊

B
BIT Numerical Mathematics
IF:
1.7
论文数:
50
被引数:
0

机构

A
aalto university
学者数:
1.4K
论文数: 667
被引数: 0
U
Universidade de Lisboa
学者数:
3.4K
论文数: 1.5K
被引数: 1
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