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MathGroup Archive 1995

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Variational Calculus/Integration by Parts

  • To: MATHGROUP at christensen.cybernetics.net
  • Subject: [mg396] Variational Calculus/Integration by Parts
  • From: REECE_D <REECE+_D%A1%Electromagnetic_Sciences at mcimail.com>
  • Date: Tue, 10 Jan 95 19:07 EST

Dear Mathgroupers-
   
   Is there a package available which performs variational derivatives and 
will return the boundary terms as well as the Euler equation.  VariationalD 
in VariationalMethods package only returns the Euler equation.  Ideally I'd 
like to write the expression for the strain energy of a body, perform the 
integrals that can be performed, take the first variation of this integral, 
integrate by parts and return this expression containing both integrals and 
boundary terms.  The problems I've encountered so far are MMA tries to 
integrate an unintegrable expression at each step.  This cripples MMA and 
I'd like to avoid this evaluation until I call for it.  Integrating by 
parts is also a hurdle to be cleared, but less daunting than the first.  If 
anyone has addressed any of these subproblems or the larger problem, I'd 
like to hear from you.
   
   Thanks in advance,
   Daryl



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