grad(3rheolef) [debian man page]

grad(3rheolef)							    rheolef-6.1 						    grad(3rheolef)

NAME

       grad -- gradient operator

SYNOPSIS

	     form(const space V, const space& M, "grad");

DESCRIPTION

       Assembly the form associated to the gradient operator on a finite element space V:

		       /
		       |
	     b(u, q) = | grad(u).q dx
		       |
		       / Omega

       The  V  space  may  be  a  either P1  or P2  finite element space, while the M space may be P0  or P1d  respectively.  See also form(2) and
       space(2).

EXAMPLE

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

	       geo omega("square");
	       space V(omega, "P1");
	       space M(omega, "P0", "vector");
	       form b(V, M, "grad");

SEE ALSO

       form(2), space(2)

rheolef-6.1							    rheolef-6.1 						    grad(3rheolef)

curl(3rheolef)							    rheolef-6.1 						    curl(3rheolef)

NAME

       curl -- curl operator

SYNOPSIS

	     form(const space V, const space& M, "curl");

DESCRIPTION

       Assembly the form associated to the curl operator on finite element space.  In three dimensions, both V and M are vector-valued:

		      /
		      |
	     b(u,q) = |  curl(u).q dx
		      |
		      / Omega

       In  two	dimensions, only V is vector-valued.  The V space may be a either P2 finite element space, while the M space may be P1d.  See also
       form(2) and space(2).

EXAMPLE

       The following piece of code build the divergence form associated to the P2 approximation for a three dimensional geometry:

	       geo omega("cube");
	       space V(omega, "P2",  "vector");
	       space M(omega, "P1d", "vector");
	       form b(V, M, "curl");

       while this code becomes in two dimension:

	       geo omega("square");
	       space V(omega, "P2",  "vector");
	       space M(omega, "P1d");
	       form b(V, M, "curl");

SEE ALSO

       form(2), space(2)

rheolef-6.1							    rheolef-6.1 						    curl(3rheolef)