1. Introduction -- 2. Fundamental concepts in one dimension -- 3. Multi-dimensional expansion bases -- 4. Multi-dimensional formulation -- 5. Diffusion equation -- 6. Advection and advection-diffusion -- 7. Non-conforming elements -- 8. Algorithms for incompressible flows -- 9. Incompressible flow simulations : verification and validation -- 10. Hyperbolic conservation laws -- A. Jacobi polynomials -- B. Gauss-type integration -- C. Collocation differentiation -- D. C[superscript 0] continuous expansion bases -- E. Characteristic flux decomposition
Summary
This edition includes new material on discontinuous Galerkin methods, non-tensorial nodal spectral element methods in simplex domains, and stabilisation and filtering techniques
Notes
Previous edition published as: Spectral/hp element methods for CFD. 1999
Bibliography
Includes bibliographical references (pages 375-385) and index
