Provided by: librheolef-dev_5.93-2_amd64

**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-valuedP1(resp.P2) finite element space, the T space may be a tensor-valuedP0(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");