Semi‐implicit Euler Scheme for Generalized Newtonian Fluids

2006 ◽  
Vol 44 (3) ◽  
pp. 1172-1190 ◽  
Author(s):  
Lars Diening ◽  
Andreas Prohl ◽  
Michael Růžička
Keyword(s):  
Newtonian Fluids ◽  
Euler Scheme ◽  
Implicit Euler Scheme ◽  
Generalized Newtonian Fluids

Time and space meshes adaptivity for the resolution of a semi-linear heat equation

2021 ◽  
pp. 1-10
Author(s):  
Nejmeddine Chorfi
Keyword(s):  
Parabolic Equation ◽  
Heat Equation ◽  
Order Of Convergence ◽  
Linear Parabolic Equation ◽  
Spectral Elements ◽  
Euler Scheme ◽  
Time Step ◽  
Implicit Euler Scheme ◽  
Linear Heat ◽  
Error Indicators

The aim of this work is to highlight that the adaptivity of the time step when combined with the adaptivity of the spectral mesh is optimal for a semi-linear parabolic equation discretized by an implicit Euler scheme in time and spectral elements method in space. The numerical results confirm the optimality of the order of convergence. The later is similar to the order of the error indicators.

Comparison of Two Time-Integration Algorithms for an Anisotropic Damage Model Coupled with Plasticity

2015 ◽  
Vol 784 ◽  
pp. 292-299 ◽  
Author(s):  
Stephan Wulfinghoff ◽  
Marek Fassin ◽  
Stefanie Reese
Keyword(s):  
Evolution Equations ◽  
Damage Model ◽  
Time Integration ◽  
Three Dimensional ◽  
Anisotropic Damage ◽  
Euler Scheme ◽  
The Finite Element Method ◽  
Time Step ◽  
Implicit Euler Scheme ◽  
Integration Algorithms

In this work, two time integration algorithms for the anisotropic damage model proposed by Lemaitre et al. (2000) are compared. Specifically, the standard implicit Euler scheme is compared to an algorithm which implicitly solves the elasto-plastic evolution equations and explicitly computes the damage update. To this end, a three dimensional bending example is solved using the finite element method and the results of the two algorithms are compared for different time step sizes.

Implicit Euler scheme for an abstract evolution inequality

2011 ◽  
Vol 47 (8) ◽  
pp. 1130-1138 ◽  
Author(s):  
R. Z. Dautov ◽  
A. I. Mikheeva
Keyword(s):  
Euler Scheme ◽  
Implicit Euler Scheme ◽  
Evolution Inequality
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