http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Finite element methods for flow problems
1 online resource (xi, 350 pages) : illustrations
"The objective [of this book] is to present the fundamentals of stabilized finite element methods for the analysis of steady and time-dependent convection-diffusion and fluid dynamics problems with an engineering rather than a mathematical bias."--Page xi
Machine derived contents note: Preface. -- 1. Introduction and preliminaries. -- Finite elements in fluid dynamics. -- Subjects covered. -- Kinematical descriptions of the flow field. -- The basic conservation equations. -- Basic ingredients of the finite element method. -- 2. Steady transport problems. -- Problem statement. -- Galerkin approximation. -- Early Petrov-Galerkin methods. -- Stabilization techniques. -- Other stabilization techniques and new trends. -- Applications and solved exercises. -- 3. Unsteady convective transport. -- Introduction. -- Problem statement. -- The methods of characteristics. -- Classical time and space discretization techniques. -- Stability and accuracy analysis. -- Taylor-Galerkin Methods. -- An introduction to monotonicity-preserving schemes. -- Least-squares-based spatial discretization. -- The discontinuous Galerkin method. -- Space-time formulations. -- Applications and solved exercises. -- 4. Compressible Flow Problems. -- Introduction. -- Nonlinear hyperbolic equations. -- The Euler equations. -- Spatial discretization techniques. -- Numerical treatment of shocks. -- Nearly incompressible flows. -- Fluid-structure interaction. -- Solved exercises. -- 5. Unsteady convection-diffusion problems. -- Introduction. -- Problem statement. -- Time discretization procedures. -- Spatial discretization procedures. -- Stabilized space-time formulations. -- Solved exercises. -- 6. Viscous incompressible flows. -- Introduction -- Basic concepts. -- Main issues in incompressible flow problems. -- Trial solutions and weighting functions. -- Stationary Stokes problem. -- Steady Navier-Stokes problem. -- Unsteady Navier-Stokes equations. -- Applications and Solved Exercices. -- References. -- Index.
Includes bibliographical references (pages 323-344) and index.