Finite Elements and Fast Iterative Solvers

• An excellent introduction to finite elements, iterative linear solvers and scientific computing
• Contains theoretical problems and practical exercises
• All methods and examples use freely available software
• Focuses on theory and computation, not theory for computation
• Describes approximation methods and numerical linear algebra

Readership: Graduate students and researchers in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing.

Howard C. Elman, Department of Computer Science, University of Maryland, David J. Silvester, Department of Mathematics, UMIST, and Andrew J. Wathen, Oxford University Computing Laboratory

"The authors' intended audience is at the level of graduate students and researchers, and we believe that the text offers a valuable contribution to all finite element researchers who would like to broadened both their fundamental and applied knowledge of the field." - Spencer J. Sherwin and Robert M. Kirby, Fluid Mechanics, Vol 557, 2006

Models of Incompressible Fluid Flow
The Poisson Equation
Solution of Discrete Poisson Problems
The Convection-Diffusion Equation
Solution of Discrete Convection-Diffusion Problems
The Stokes Equations
Solution of Discrete Stokes Problems
The Navier-Stokes Equations
Solution of Discrete Navier-Stokes Problems