ICOSAHOM 95: Proceedings of the Third International Conference on Spectral and High Order Methods (Houston, USA, 5-9 June, 1995)

Cover......Page 1 Preface......Page 2 01 Spectral methods in general relativity - towards the simulation of 3D- gravitational collapse of neutron stars -- S. Bonazzola; J. Frieben; E. Gourgoulhon and J-A. Marck......Page 4 02 Integration preconditioners for differential operators in spectral r-methods -- E. A. Coutsias; T. Hagstrom; J. S. Hesthaven; D. Torres......Page 22 03 An accurate and efficient spectral tau method for the incompressible Navier-Stokes equations in a planar channel -- E. A. Coutsias; J. S. Hesthaven; J. P. Lynov......Page 40 04 Spectral-Fourier method for axisymmetric problems A-- I. Dauge......Page 56 05 Parallel element-by-element spectral multilevel techniques -- M. B. Davis; G. F. Carey......Page 64 06 A nonlinear Galerkin method the two-level Chebyshev collocation case -- L. Dettori; D. Gottlieb; R. Temam......Page 76 07 Solution of parabolic partial differential equations in complex geome- tries by a modified Fourier collocation method K -- S. Eckhoff; C. E. Wasberg......Page 84 08 Polynomial approximation of some singular solutions in weighted Sobolev spaces -- G. Fdez-Manm; R. Munoz-Sola......Page 94 09 Chebyshev pseudospectral collocation for parabolic problems with non- constant coefficients -- J. de Frutos; R. Munoz-Sola......Page 102 10 A Fourier method for nonsmooth hyperbolic problems -- K. S. Eckhoff; J. H. Rolfsnes......Page 110 11 On the spectral viscosity method in multidomain Chebyshev discretizations -- I. Lie......Page 122 12 A numerical study on the accuracy of Fourier spectral methods applied to the nonlinear Burgers equation C.--- W. Shu; P. S. Wong......Page 132 13 Spectrally accurate solution of non-periodic boundary-value problems by Gegenbauer expansions -- A. Weill; M. Israeli; L. Vozovoi......Page 140 14 A global algorithm in spectral methods for the coupled Navier-Stokes Euler equations -- C. Xu......Page 152 15 Concepts for higher order finite elements on sparse grids -- H.-J. Bungartz......Page 158 16 Stable higher order triangular finite elements with mass lumping for the wave equation -- G. Cohen; P. Joly; N. Tordjman......Page 170 17 Mass lumping edge elements in three dimensions -- G. Cohen; P. Monk......Page 180 18 Pinched shells of revolution experiments on high-order FEM -- H. Hakula; J. Pitkaranta......Page 192 19 Divergence stability of certain increasing order finite element methods for elliptic and semi-elliptic problems -- S. Jensen......Page 202 20 Estimates of 0(p epsilon) type for the condition number of matrices in the p-version of the finite element method -- J. F. Maitre; O. Pourquier......Page 214 21 Fast algorithms for solving high-order finite element equations for in- compressible flow -- L. R. Scott; A. V. Ilin; R. W. Metcalfe; B. Bagheri......Page 220 22 Efficient Chebyshev-Legendre Galerkin methods for elliptic problems -- J. Shen......Page 232 23 Some tools for adaptivity in the spectral element method -- M. Azaiez; C. Bernardi; Y. Maday......Page 240 24 Legendre-tau spectral elements for incompressible Navier-Stokes flow -- K. Black......Page 252 25 The Erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations -- J. P. Boyd......Page 264 26 Iterative methods with dynamic preconditioning for a moving spectral element technique applied to the journal bearing problem -- D. Rh. Gwynllyw; T. N. Phillips......Page 274 27 Decoupled spectral element methods for steady viscoelastic flow past a sphere -- R. G. Owens; T. N. Phillips......Page 284 28 A spectral element projection scheme for incompressible flow with application to shear-layer stability studies -- F. N. van de Vosse,; P. D. Minev; L. J. P. Timmermans......Page 292 29 Triangular spectral element methods for geophysical fluid dynamics applications -- B. A. Wingate; J. P. Boyd......Page 302 30 Mixed analytical numerical - spectral element algorithm for efficient solution of problems with interior or boundary layers -- U. Zrahia; S. A. Orszag; M. Israeli......Page 312 31 An efficient adaptive grid ENO scheme -- R. B. Bauer......Page 324 32 High-order mimetic finite difference methods on nonuniform grids -- J. E. Castillo; J. M. Hyman; M. J. Shashkov; S. Steinberg......Page 342 33 Implementation of a high-accuracy finite-difference scheme for linear wave phenomena -- H. M. Jurgens; D. W. Zingg......Page 358 34 High-order entropy conserving difference methods for nonlinear con- servation laws -- P. Olsson......Page 368 35 Intermediate boundary conditions for Runge-Kutta time integration of initial-boundary value problems -- D. Pathria......Page 374 36 Accuracy comparison of high-order finite difference schemes for the evolution of two-dimensional finite-amplitude disturbances -- J. M. M. Sousa; C. F. N. B. Silva; J. C. F. Pereira......Page 384 37 High-order compact finite difference methods -- W. F. Spotz; G. F. Carey......Page 392 38 High-order finite difference methods for hyperbolic IBVP -- B. Strand......Page 404 39 Some applications of adaptive domain decomposition methods in fluid dynamics -- C. Carlenzoli......Page 416 40 A spectral domain decomposition technique for viscous compressible flows -- S. Gauthier; F. Renaud......Page 430 41 An asymptotically stable penalty method for multi-domain solution of the unsteady compressible Navier-Stokes equations -- J. S. Hesthaven......Page 438 42 A conservative staggered-grid multidomain method for the Euler gas- dynamics equations -- D. A. Kopriva......Page 450 43 A domain decomposition solver for the steady Navier-Stokes equations -- E. M. Ronquist......Page 462 44 The h-p Version of Finite Element Method in R3 Theory and Algorithm -- B. Guo......Page 480 45 Boundary layer approximation by spectral hp methods -- C. Schwab; M. Suri; C. A. Xenophontos......Page 492 46 Triangular and tetrahedral spectral elements -- S. J. Sherwin; G. E. Karniadakis......Page 500 47 Comparison of different hp- adaptive strategies in viscoelastic flow simulation -- V. Warichet; V. Legat......Page 512 48 Symmetric hierarchical polynomials and the adaptive h-p-version -- G. W. Zumbusch......Page 520 49 Multigrid tau-extrapolation for nonlinear partial differential equations -- K. Bernert; M. Jung; U. Rude......Page 532 50 Defect correction for convection dominated flow -- W. Heinrichs......Page 548 51 High-order matching finite elements on recursive grids -- G. Kozlovsky......Page 556 52 On the multigrid method for 3D mixed macro-elements -- S. Zhang......Page 564 53 Iterative solutions of the 3D transient Navier-Stokes equations on parallel computers -- W. Couzy......Page 572 54 Parallel multi-level solvers for spectral element methods -- P. F. Fischer......Page 582 55 Parallel spectral Fourier algorithm for fluid dynamics problems -- L. Vozovoi; M. Israeli; A. Averbuch......Page 592 Index......Page 600 Back Cover......Page 602