Evaluation of Two Parallel Finite Element Implementations of the Time-Dependent Advection Diffusion Problem: GPU versus Cluster Considering Time and Energy Consumption

2013 ◽  
pp. 149-162
Author(s):  
Alberto F. De Souza ◽  
Lucas Veronese ◽  
Leonardo M. Lima ◽  
Claudine Badue ◽  
Lucia Catabriga
Keyword(s):  
Finite Element ◽  
Energy Consumption ◽  
Diffusion Problem ◽  
Time Dependent ◽  
Advection Diffusion ◽  
Parallel Finite Element ◽  
Time And Energy

NUMERICAL EVALUATION OF FEM WITH APPLICATION TO THE 1-D ADVECTION–DIFFUSION PROBLEM

2002 ◽  
Vol 12 (02) ◽  
pp. 205-228 ◽  
Author(s):  
GIANCARLO SANGALLI
Keyword(s):  
Finite Element ◽  
Numerical Methods ◽  
General Framework ◽  
Numerical Evaluation ◽  
Numerical Procedure ◽  
Diffusion Problem ◽  
Empirical Justification ◽  
Eigenvalue Computation ◽  
Advection Diffusion

In this paper we present a numerical procedure to evaluate the efficiency of finite element numerical methods. We improve some of the ideas proposed in previous works and give a partly theoretical, partly empirical justification in a general framework. The proposed procedure performs an eigenvalue computation, and requires the knowledge of the behavior of the exact operator in order to choose proper norms for the evaluations. In the experiments we focus our attention on the 1-D advection–diffusion problem: we show that our numerical procedure actually gives very sharp indications about the optimality of the tested numerical methods.

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