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MathGroup Archive 1995

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Q: tensor field operators inc, div, def

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg2031] Q: tensor field operators inc, div, def
  • From: u7f01bf at sun2.lrz-muenchen.de ()
  • Date: Sat, 16 Sep 1995 01:40:27 -0400
  • Organization: Leibniz-Rechenzentrum, Muenchen (Germany)

Who knows how to define the opreators def(u), inc(b),
div(b), u beeing a vector field, b beeing a tensor field?

inc b = \nabla x b x \nabla  or

(inc b)_{nm} = e_{mki} e_{nlj} d_{k} d_{l} b_{ij},e_{mki} beeing

the totally antisymmetric unit tensor.
          

div a_{ij} = d_{i} a{ij}

def u_{i}  = d_{j} u_{i}

I tried to copy the <<Calculus`VectorAnalysis` syntax, but 
it didn't work.

Thanks in advance

Alexander Unzicker

sascha at space.imp.med.uni-muenchen.de
u7f01bf at sunmail.lrz-muenchen.de 


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