Finite element vs. finite difference

Ford Prefect · February 8, 2012, 08:06

http://www.mathematik.tu-dortmund.de...rTurek1996.pdf

Nice paper that compares a large number of different codes (FD, FV, FE). Perhaps not state-of-the-art but still mostly valid.

gl hf

tsk143 · April 9, 2012, 03:26

The simple answer is that we use step functions for the finite difference solution and continuous functions for the finite element solution (the simplest being linear functions). In the end we have the same gross structure of matrix equations and invert the matrix to solve for the dependent variables.

tatasiva · December 17, 2014, 07:38

How to create sub duction model in Ansys software or Fem modelling

Alex C. · December 17, 2014, 09:21

1) tatasiva, your question is not closely related to the original question of this thread. Therefore, it should either be in a new post, or at least in a thread that is related. Although, I must thank you for digging such an interesting subject!

2) I am very surprised that nobody mentionned that the center of the finite-element method is the multiplication of the unknowns vector by a test function. The introduction of such a test function allows for an integration by parts in the integral form of the equations of conservation.

February 8, 2012, 08:06		#21
Ford Prefect Senior Member Join Date: Mar 2009 Posts: 157 Rep Power: 17	http://www.mathematik.tu-dortmund.de...rTurek1996.pdf Nice paper that compares a large number of different codes (FD, FV, FE). Perhaps not state-of-the-art but still mostly valid. gl hf __________________ "Trying is the first step to failure." - Homer Simpson

April 9, 2012, 03:26	Finite Element Vs Finite Difference	#22
tsk143 New Member Suresh Kumar Tirumala Join Date: Apr 2012 Posts: 1 Rep Power: 0	The simple answer is that we use step functions for the finite difference solution and continuous functions for the finite element solution (the simplest being linear functions). In the end we have the same gross structure of matrix equations and invert the matrix to solve for the dependent variables.

December 17, 2014, 07:38	Fem Modelling of Sub duction model by Ansys Software	#23
tatasiva New Member Siva Krishna Join Date: Dec 2014 Posts: 6 Rep Power: 11	How to create sub duction model in Ansys software or Fem modelling

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December 17, 2014, 09:21		#24
Alex C. Member Join Date: Jul 2013 Posts: 56 Rep Power: 13	1) tatasiva, your question is not closely related to the original question of this thread. Therefore, it should either be in a new post, or at least in a thread that is related. Although, I must thank you for digging such an interesting subject! 2) I am very surprised that nobody mentionned that the center of the finite-element method is the multiplication of the unknowns vector by a test function. The introduction of such a test function allows for an integration by parts in the integral form of the equations of conservation.