Practical Finite Element Modeling in Earth Science using Matlab

Mathematical models have become a crucial way for the Earth scientist to understand and predict how our planet functions and evolves through time and space. The finite element method (FEM) is a remarkably flexible and powerful tool with enormous potential in the Earth Sciences. This pragmatic guide explores how a variety of different Earth science problems can be translated and solved with FEM, assuming only basic programming experience. This book begins with a general introduction to numerical modeling and includes multiple sample Matlab codes to illustrate how FEM is implemented in practice. Textboxes have been included to provide additional detail, such as specialized Matlab usage or advanced topics. Covering all the key aspects, this is essential reading for those looking to master the technique, as well as those simply seeking to increase their basic level of understanding and appreciation of FEM. Beginning with the finite element method -- Programming the finite element method in Matlab -- Numerical integration and local coordinates -- The finite element method in two dimensions -- The finite element method in three dimensions -- Generalization of finite element concepts -- Heat transfer -- Landscape evolution -- Fluid flow in porous media -- Lithospheric flexure -- Deformation of earth's crust -- Going further