Mixed-Hybrid Finite Element Methods for Coupled Problems in Silicon Dioxide Technology

2004 ◽  
pp. 154-161
Author(s):  
Paola Causin ◽  
Riccardo Sacco
Keyword(s):  
Finite Element ◽  
Silicon Dioxide ◽  
Finite Element Methods ◽  
Coupled Problems ◽  
Hybrid Finite Element ◽  
Mixed Hybrid Finite Element

Preconditioners with projectors for mixed hybrid finite element methods

2017 ◽  
Vol 32 (1) ◽  
Author(s):  
Yuri A. Kuznetsov ◽  
Vasily K. Kramarenko
Keyword(s):  
Finite Element ◽  
Diffusion Equation ◽  
Finite Element Methods ◽  
Heterogeneous Media ◽  
Numerical Results ◽  
Vector Spaces ◽  
General Description ◽  
Hybrid Finite Element ◽  
Mixed Hybrid Finite Element

AbstractWe propose and investigate numerically two new preconditioners for the matrices, which arise in the mixed-hybrid finite element methods for diffusion equation in strongly heterogeneous media. Both preconditioners include special projectors on the vector spaces orthogonal to the vectors with constant components. We give general description of the preconditioners and discuss numerical results which demonstrate their efficiency compared to the classical diagonal preconditioner.

scholarly journals Hybrid finite element methods for the Signorini problem

2003 ◽  
Vol 72 (243) ◽  
pp. 1117-1146 ◽  
Author(s):  
F. Ben Belgacem ◽  
Y. Renard
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Signorini Problem ◽  
Hybrid Finite Element
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