Finite Element Methods: 1970's and Beyond

Edited by: L.P. Franca, T.E. Tezduyar and A. Masud

 

Contents:

 

Chapter 1. Structural Mechanics: R.L. Taylor, Reduced Integration and Mixed Methods for Finite Element Analysis = E. Ramm, M. Gee and W.A. Wall, A Multilevel Approach to the Solution of Large-Scale Nonlinear Shell Problems = P. Le Tallec, Incompressibility Constraints in Finite Elements = F. Armero, Assumed Strain Finite Element Methods = K. Garikipati, Discontinous Galerkin Methods for Solid Mechanics = W.K. Liu, H.S. Park, E.G. Karpov, H. Kadowaki, G.J. Wagner, D. Qian and S. Li, Bridging Scale Mechanics and Materials

 

Chapter 2. Time Integration Methods: T. Belytschko, Contributions of Tom Hughes to Time Integration of Finite Elements and its Offshoots = A. Lew, J.E. Marsden, M. Ortiz and M. West, An Overview of Variational Integrators = G.M. Hulbert, Space-Time Finite Element Methods

 

Chapter 3. Stabilized Methods: L.P. Franca, G. Hauke and A. Masud, Stabilized Finite Element Methods = F. Brezzi, M. Fortin and L.D. Marini, Piecewise Constant Pressure for Darcy Law = E. Onate, Stabilization Via Finite Calculus in Finite Element Computations = A. Masud, Stabilized Methods in Solid Mechanics = A. Russo, Relationship to Residual-Free Bubbles

 

Chapter 4. Fluid Mechanics: T.E. Tezduyar, Moving Boundaries and Interfaces = F. Chalot and M. Mallet, The Stabilized Finite Element Method for Compressible Navier-Stokes Simulations: Review and Application to Aircraft Design = W.K. Liu, Y. Liu, A. Gerstenberger, D. Farrell, L. Zhang and X. Wang, Immersed Finite Element Method and Applications to Biological Systems = C.A. Taylor, Finite Element Modeling of Blood Flow in Arteries: One-Dimensional and Three-Dimensional Theories = K.E. Jansen, A Look at Turbulence from the Finite Element Perspective = J. Hoffman and C. Johnson, Adaptive DNS/LES: A New Agenda in CFD = I. Harari, Acoustics

 

Chapter 5. Iterative and Parallel Computing Methods: R.M. Ferencz, Element-by-Element Procedures = Z. Johan, Matrix-Free Methods = T.E. Tezduyar and A. Sameh, Parallel Computing