A parallel, adaptive finite element scheme for modeling chemotactic biological systems

2009 ◽  
Vol 25 (12) ◽  
pp. 1162-1185 ◽  
Author(s):  
Benjamin S. Kirk ◽  
Graham F. Carey
Keyword(s):  
Finite Element ◽  
Biological Systems ◽  
Adaptive Finite Element ◽  
Finite Element Scheme ◽  
Element Scheme

An adaptive finite element scheme to solve fluid-structure vibration problems on non-matching grids

2001 ◽  
Vol 4 (2) ◽  
pp. 67-78 ◽  
Author(s):  
Ana Alonso ◽  
Anahí Dello Russo ◽  
César Otero-Souto ◽  
Claudio Padra ◽  
Rodolfo Rodríguez
Keyword(s):  
Finite Element ◽  
Adaptive Finite Element ◽  
Finite Element Scheme ◽  
Fluid Structure ◽  
Element Scheme ◽  
Structure Vibration ◽  
Vibration Problems

scholarly journals An Adaptive Finite Element Scheme for the Hellinger–Reissner Elasticity Mixed Eigenvalue Problem

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Fleurianne Bertrand ◽  
Daniele Boffi ◽  
Rui Ma
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Degrees Of Freedom ◽  
Elasticity Problem ◽  
Error Estimator ◽  
Adaptive Finite Element ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Mixed Eigenvalue

Abstract In this paper, we study the approximation of eigenvalues arising from the mixed Hellinger–Reissner elasticity problem by using a simple finite element introduced recently by one of the authors. We prove that the method converges when a residual type error estimator is considered and that the estimator decays optimally with respect to the number of degrees of freedom. A postprocessing technique originally proposed in a different context is discussed and tested numerically.

Analysis of InP LEC metl flows using a parallel adaptive finite element scheme

1997 ◽  
Vol 180 (3-4) ◽  
pp. 510-516 ◽  
Author(s):  
Dan Givoli ◽  
Joseph E. Flaherty ◽  
Mark S. Shephard
Keyword(s):  
Finite Element ◽  
Adaptive Finite Element ◽  
Finite Element Scheme ◽  
Element Scheme
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