# Ice shelves

## Contents |

## Overview

Here we're going to cover (a) where the ice-shelf equations come from, and (b) provide a brief overview of one method (the finite element method) which can be profitably applied to solve these equations.

## Ice shelves

These slides pdf illustrate how ice shelves are different from grounded ice sheets. They also make a point that as everything on the Earth, ice sheets and ice shelves are much longer and wider than thicker. Derivations of the zero- and first-order stress-balance equations for ice shelves is described here pdf. It is strongly recommended to repeat all derivations at least one more time. The whole derivation followed a paper by Doug MacAyeal (1989) pdf

## FEM notes -- Poisson's equation on the Ross

The lecture is here pdfA sample matlab script is here sample_poisson_v1.m.gz

A FEM mesh for the Ross Ice Shelf is here mesh_RIS.mat.gz

### Some FEM resources:

Mathworks's "Getting Started" with FEM site

T.J.R. Hughes' Finite Element Tome