---
name: "grad_grad"
section: "3rheolef"
platform: "linux"
package: "librheolef-dev"
version: "6.1-2.1"
release: "Debian 7 (Wheezy)"
platforms: ["linux"]
url: "https://new.carta.tech/grad_grad"
---

# grad\_grad(3rheolef)

## NAME

**grad\_grad** -- -Laplacian operator

## SYNOPSIS

```
      form(const space V, const space& V, "grad_grad");

```

## DESCRIPTION

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

```
               /
               |
      a(u,v) = |  grad(u).grad(v) dx
               |
               / Omega

```

The V space may be a either **P1** , **P2**  or **P1d**  finite element space. See also form(2) and space(2).

## EXAMPLE

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

```
        geo g("square");
        space V(g, "P1");
        form a(V, V, "grad_grad");

```

## SEE ALSO

form(2), space(2)