  Planet evolution is tightly connected to the dynamics of both distant and
close disk material. Hence, an appropriate description of disk-planet
interaction requires global and high resolution computations, which we
accomplish by applying a Nested-Grid method. Through simulations in two and
three dimensions, we investigate how migration and accretion are affected by
long and short range interactions. For small mass objects, 3D models provide
longer growth and migration time scales than 2D ones do, whereas time lengths
are comparable for large mass planets.
