In this  talk, an new numerical approach for solving
high-dimensional lattice equations will be
introduced. We will present the so-called
recovery method, to define a bilinear form on the
continuous level which has equivalent energy as
the original lattice equation. The finite element
discretisation of the continuous bilinear form will
lead to a stiffness matrix which serves as a
quasi-optimal preconditioner for the lattice
equations. Since a large variety of efficient
solvers are available for linear finite
element problems the new recovery method
allows to apply these solvers for unstructured lattice problems.

This talk comprises joint work with Ivo Babuska.