Recent content by dakg

Do you know why? I found the first one in a Lightfoot book on transport. They make different results, so wouldn't one be correct and the other wrong?

i have it in there but it isn't printing, let me try here \nabla \vec{u} \colon \nabla \vec{v}

sorry there is a \nabla missing i'll edit it

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. 1. \nabla \vec{u}...

Is it Green's First Identity that I need? Does it hold for vectors?

There is a single dot tensor product and a double dot scalar product of two tensors. It is explained here: http://www.math.mtu.edu/~feigl/courses/CFD-script/tensor-review.pdf (sorry same link as above) I find it used in computational fluid dynamics problems.

Homework Statement I have $\int \nabla^2 \vec{u} \cdot \vec{v} dV$ where u and v are velocities integrated over a volume. I want to perform integration by parts so that the derivative orders are the same. This is the Galerkin method. Homework Equations The Attempt at a Solution I have...

Thank you.

Does this make a matrix using row i and column j for the entries?