Provided by: librheolef-dev_5.93-2_amd64 bug

NAME

       2D -- rate of deformation tensor

SYNOPSIS

               form (const space V, const space& T, "2D");

DESCRIPTION

       Assembly the form associated to the rate of deformation tensor, i.e. the symmetric part of
       the gradient of a vector field.  These  derivative  are  usefull  in  fluid  mechanic  and
       elasticity.

                        /
                        |
             b(u,tau) = | 2 D(u) : tau dx,
                        |
                        / Omega

       where

            2 D(u) = grad u + (grad u)^T

       If the V space is a vector-valued P1 (resp. P2) finite element space, the T space may be a
       tensor-valued P0 (resp. P1d) one.

EXAMPLE

       The following piece of code build the Laplacian form associated to the P1 approximation:

               geo omega ("square");
               space V (omega, "P1", "vector");
               space T (omega, "P0", "tensor");
               form  b (V, T, "2D");