Ok I have seen the tensor double dot scalar product defined two ways and it all boils down to how the multiplication is defined. Does anyone know which is correct? I believe the first one is correct but I keep seeing the second one in various books on finite element methods.(adsbygoogle = window.adsbygoogle || []).push({});

1. [tex]\nabla \vec{u} \colon \nabla \vec{v} = u_{i,j} v_{j,i}[/tex]

or

2. [tex]\nabla \vec{u} \colon \nabla \vec{v} = u_{i,j} v_{i,j}[/tex]

Thank you in advance,

dakg

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Dyad product

Loading...

Similar Threads for Dyad product | Date |
---|---|

A Is tangent bundle TM the product manifold of M and T_pM? | Oct 20, 2017 |

I 4-Vector Cross Product | Sep 27, 2017 |

I Interior product | Sep 10, 2017 |

I Wedge Product and r-form | Sep 10, 2017 |

Problem With Explanation of Inner Product of Vector and Dyad | Jul 28, 2010 |

**Physics Forums - The Fusion of Science and Community**