Analysis, algorithms, and applications of spectral and high order methods for partial differential equations : selected papers from the International Conference on Spectral and High Order Methods (ICOSAHOM '92), Le Corum, Montpellier, France, 22-26 June 1992

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Bibliographic Information

Analysis, algorithms, and applications of spectral and high order methods for partial differential equations : selected papers from the International Conference on Spectral and High Order Methods (ICOSAHOM '92), Le Corum, Montpellier, France, 22-26 June 1992

edited by Christine Bernardi and Yvon Maday

North-Holland, 1994

Available at  / 8 libraries

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Note

"Reprinted from Computer methods in applied mechanics and engineering, 116 (1994) and Finite elements in analysis and design, 16 (3,4) (1994)"--T.p. verso

Includes bibliographical references and index

Description and Table of Contents

Description

The definition of high order is discussed in this book. It also defines high order methods by including details of the type of equations involved and the discretization - finite differences, finite elements, spectral discretization, wavelets, high order schemes and all these methods combined.

Table of Contents

  • Part 1 Plenary lectures: sum-accelerated pseudospectral methods - finite differences and Sech-weighted differences, J.P. Boyd, stabilization of spectral methods by finite element bubble functions, C. Canuto, resolution properties of the Fourier method for discontinuous waves, D. Gottlieb and C.-W. Shu
  • domain decomposition, resolution of fourth-order problems by the Mortar element method, Z. Belhachmi and C. Bernardi, a spectral element methodology tuned to parallel implementations, F. Ben Belgacem and Y. Maday, spectral element methods for large scale parallel Navier-Stokes calculations, P.F. Fisher and E.M. Ronquist, adaptive mesh strategies for the spectral element method, C. Mavriplis
  • hyperbolic equations, an essentially non-oscillatory reconstruction procedure on finite-element type meshes - application to compressible flows, R. Abgrall, on discontinuous solutions of hyperbolic equations, K.S. Eckhoff, spectral element-FCT method for the one- and two-dimensional compressible Euler equations, J.G. Giannakouros et al, filtering non-periodic functions, S.M. Ould Kaber, spectral methods for 2D Riemann problems, S.M. Ould Kaber and C. Rosier
  • p-version/p-version, the p and h-p versions of some finite element methods for Stokes' problem, S. Jensen and S. Zhang, superconvergence phenomena in the finite element method, M. Krizek
  • preconditioners, preconditioned Chebyshev collocation methods and triangular finite elements, M.O. Deville et al, a Chebyshev collocation algorithm for the solution of advection-diffusion equations, A. Pinelli et al
  • time schemes, a high order characteristics method for the incompressible Navier-Stokes equations, K. Boukir et al, higher order alternate directions methods, M. Schatzman, a spectral Lagrange-Galerkin method for convection dominated diffusion problems, A. Ware, polynomial extensions of compatible polynomial traces in three dimensions, F. Ben Belgacem, extrapolation, combination, and sparse grid techniques for elliptic boundary value problems, H. Bungartz et al, a fast solver for elliptic boundary-value problems in the square, D. Funaro, high order numerical quadratures for layer potentials over curved domains in R(3), J.-L. Guermond
  • wavelets, a dynamically adaptive wavelet method for solving partial differential equations, S. Bertoluzza et al, towards a method for solving partial differential equations by using wavelet packet bases, P. Joly et al, wavelet algorithms for numerical resolution of partial differential equations, S. Lazaar et al. Part 2 Plenary lectures: implementing and using high-order finite elements methods, B. Bagheri et al, spectral solution of free surface flows, A. Garba et al, spectral element solution of steady incompressible viscous free surface flows, L.-W. Ho and E.M. Ronquist
  • non Newtonian fluids, the spectral simulation axisymmetric non-Newtonian flows using time splitting techniques, T.N. Phillips. (Part contents).

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