Domain Decomposition Preconditioners for Mixed Finite-Element Discretization of High-Contrast Elliptic Problems

2019 ◽  
Vol 1 (1) ◽  
pp. 141-165
Author(s):  
Hui Xie ◽  
Xuejun Xu
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Mixed Finite Element ◽  
Elliptic Problems ◽  
High Contrast ◽  
Finite Element Discretization ◽  
Element Discretization

Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems

2016 ◽  
Vol 24 (3) ◽  
Author(s):  
Matthias Maier ◽  
Rolf Rannacher
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Elliptic Problems ◽  
Finite Element Discretization ◽  
Element Discretization ◽  
Multiscale Problems ◽  
Multiscale Finite Element ◽  
Heterogeneous Multiscale ◽  
Multiscale Finite Element Methods

AbstractThis paper introduces an framework for adaptivity for a class of heterogeneous multiscale finite element methods for elliptic problems, which is suitable for

scholarly journals Upscaling of Mixed Finite Element Discretization Problems by the Spectral AMGe Method

2016 ◽  
Vol 38 (5) ◽  
pp. A2912-A2933 ◽  
Author(s):  
D. Z. Kalchev ◽  
C. S. Lee ◽  
U. Villa ◽  
Y. Efendiev ◽  
P. S. Vassilevski
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Finite Element Discretization ◽  
Element Discretization
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