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In this paper we develop and implement anisotropic radial basis functionmethods for simulating the dynamics of ice sheets and glaciers. We test themethods on two problems: the well-known benchmark ISMIP-HOM B that correspondsto a glacier size ice and a synthetic ice sheet whose geometry is inspired bythe EISMINT benchmark that corresponds to a continental size ice sheet. Weillustrate the advantages of the radial basis function methods over a standardfinite element method. We also show how the use of anisotropic radial basisfunctions allows for accurate simulation of the velocities on a large icesheet, which was not possible with standard isotropic radial basis functionmethods due to a large aspect ratio between the ice length and the icethickness. Additionally, we implement a partition of unity method in order toimprove the computational efficiency of the radial basis function methods.

Anisotropic Radial Basis Function Methods for Continental Size Ice Sheet Simulations