  Mirror symmetry for del Pezzo surfaces was studied by Auroux, Katzarkov and
Orlov who suggested that the mirror should take the form of a Landau-Ginzburg
model with a particular type of elliptic fibration. This problem was then
considered again but from an algebro-geometric perspective by Gross, Hacking
and Keel. Their construction allows one to construct a formal mirror family to
a pair $(S,D)$ where $S$ is a smooth rational projective surface and $D$ a
certain type of Weil divisor supporting an ample or anti-ample class. In the
case of $S$ a Fano surface they proved that this family may be lifted to an
algebraic family over an affine base. In this paper we perform this
construction for all smooth del Pezzo surfaces of degree at least two and
obtain explicit equations for the mirror families and explain some of the
motivation for their construction. We also provide an implementation of the
Kontsevich Soibelman lemma in Sage.
