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"Extended finite element method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems.The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials."

"Presents finite element approximation concepts, formulation, and programming in a format that streamlines the learning process. it contains various topics in applications including cracks, semi-infinite and infinite domains, buckling, and thermal stress."

"Provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis)."

"The finite element method for fluid dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations.The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on:- Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems.- Biofluid dynamics, covering flow throughout the human arterial system.Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), "