Proceedings of the Third International Conference on Spectral and High Order Methods
June 5-9, 1995

Edited by Andrew V. Ilin and L. Ridgeway Scott

Houston Journal of Mathematics


Spectral Methods

S. Bonazzola, J. Frieben, E. Gourgoulhon and J-A. Marck,  Spectral methods in general relativity - towards the simulation of 3D- gravitational collapse of neutron stars , pp. 3-19.

E. A. Coutsias, T. Hagstrom, J. S. Hesthaven and D. Torres,  Integration preconditioners for differential operators in spectral r-methods , pp. 21-38.

E. A. Coutsias, J. S. Hesthaven and J. P. Lynov,  An accurate and efficient spectral tau method for the incompressible Navier-Stokes equations in a planar channel , pp. 39-54.

AI. Dauge, Spectral-Fourier method for axisymmetric problems  pp. 55-62.

M. B. Davis and G. F. Carey,  Parallel element-by-element spectral multilevel techniques , pp. 63-74.

L. Dettori, D. Gottlieb and R. Temam,  A nonlinear Galerkin method: the two-level Chebyshev collocation case , pp. 75-82.

K S. Eckhoff and C. E. Wasberg,  Solution of parabolic partial differential equations in complex geome- tries by a modified Fourier collocation method, pp. 83-92.

G. Fdez-Manm and R. Munoz-Sola,  Polynomial approximation of some singular solutions in weighted Sobolev spaces , pp. 93-100.

J. de Frutos and R. Munoz-Sola,  Chebyshev pseudospectral collocation for parabolic problems with non- constant coefficients , pp. 101-108.

K. S. Eckhoff and J. H. RolfsnesA Fourier method for nonsmooth hyperbolic problems, pp. 109-120.

I. Lie, On the spectral viscosity method in multidomain Chebyshev discretizations , pp. 121-130.

C.-W. Shu and P. S. Wong,  A numerical study on the accuracy of Fourier spectral methods applied to the nonlinear Burgers equation , 131-138.

A. Weill, M. Israeli and L. Vozovoi, Spectrally accurate solution of non-periodic boundary-value problems by Gegenbauer expansions, pp. 139-150.

C. Xu, A global algorithm in spectral methods for the coupled Navier-Stokes / Euler equations, pp. 151-156. 

Finite Elements

H.-J. Bungartz,  Concepts for higher order finite elements on sparse grids , pp. 159-170.

G. Cohen, P. Joly and N. Tordjman, Stable higher order triangular finite elements with mass lumping for the wave equation , pp. 17-180.

G. Cohen and P. Monk, Mass lumping edge elements in three dimensions , pp. 181-192.

H. Hakula and J. PitkÔranta, Pinched shells of revolution: experiments on high-order FEM , pp. 193-202.

S. Jensen,  Divergence stability of certain increasing order finite element methods for elliptic and semi-elliptic problems , pp. 203-214.

J. F. Maitre and O. Pourquier,  Estimates of 0(pε) type for the condition number of matrices in the p-version of the finite element method , pp. 215-220.

L. R. Scott, A. V. Ilin, R. W. Metcalfe and B. Bagheri,  Fast algorithms for solving high-order finite element equations for in- compressible flow , pp. 221-232.

J. Shen, Efficient Chebyshev-Legendre Galerkin methods for elliptic problems , pp. 233-240.

Spectral Elements

M. Aza´ez, C. Bernardi and Y. Maday, Some tools for adaptivity in the spectral element method , pp. 243-254.

K. Black,  Legendre-tau spectral elements for incompressible Navier-Stokes flow, pp. 255-266. 

J. P. Boyd,  The Erfc-log filter and the asymptotics of the Euler and Vandeven sequence accelerations , pp. 267-276.

D. Rh. Gwynllyw and T. N. Phillips,  Iterative methods with dynamic preconditioning for a moving spectral element technique applied to the journal bearing problem , pp. 277-286.

R. G. Owens and T. N. Phillips,  Decoupled spectral element methods for steady viscoelastic flow past a sphere, pp. 287-294.

F. N. van de Vosse, and P. D. Minev and L. J. P. Timmermans, A spectral element projection scheme for incompressible flow with application to shear-layer stability studies , pp. 295-304

B. A. Wingate and J. P. Boyd, Triangular spectral element methods for geophysical fluid dynamics applications , pp. 305-314.

U. Zrahia, S. A. Orszag and M. Israeli, Mixed analytical / numerical - spectral element algorithm for efficient solution of problems with interior or boundary layers , pp. 315-326.

Finite Differences

R. B. Bauer, An efficient adaptive grid ENO scheme , pp. 329-346.

J. E. Castillo, J. M. Hyman, M. J. Shashkov and S. Steinberg,  High-order mimetic finite difference methods on nonuniform grids, pp. 347-362.

H. M. Jurgens and D. W. Zingg,  Implementation of a high-accuracy finite-difference scheme for linear wave phenomena , pp. 363-372.

P. Olsson,  High-order entropy conserving difference methods for nonlinear con- servation laws , pp. 373-378.

D. Pathria,  Intermediate boundary conditions for Runge-Kutta time integration of initial-boundary value problemspp. , pp. 379-388

J. M. M. Sousa, C. F. N. B. Silva and J. C. F. Pereira, Accuracy comparison of high-order finite difference schemes for the evolution of two-dimensional finite-amplitude disturbances , pp. 389-396.

W. F. Spotz and G. F. Carey, High-order compact finite difference methods , pp. 397-408.

B. Strand, High-order finite difference methods for hyperbolic IBVP , pp. 409-420.

Domain Decomposition

C. Carlenzoli,  Some applications of adaptive domain decomposition methods in fluid dynamics , pp. 423-436.

S. Gauthier and F. Renaud,  A spectral domain decomposition technique for viscous compressible flows , pp. 437-444.

J. S. Hesthaven,  An asymptotically stable penalty method for multi-domain solution of the unsteady, compressible Navier-Stokes equations, pp. 445-456.

D. A. Kopriva,  A conservative, staggered-grid multidomain method for the Euler gas- dynamics equations , pp. 457-468.

E. M. Ronquist,  A domain decomposition solver for the steady Navier-Stokes equations , pp. 469-486.

h-p Methods

B. Guo, The h-p Version of Finite Element Method in R3: Theory and Algorithm , pp. 489-500.

C. Schwab, M. Suri and C. A. Xenophontos, Boundary layer approximation by spectral / hp methods , pp. 501-508.

S. J. Sherwin and G. E. Karniadakis, Triangular and tetrahedral spectral elements , pp. 509-520.

V. Warichet and V. Legat, Comparison of different hp- adaptive strategies in viscoelastic flow simulation , pp. 521-528.

G. W. Zumbusch, Symmetric hierarchical polynomials and the adaptive h-p-version pp. 529-540.

Multigrid Methods

K. Bernert, M. Jung and U. Rude,  Multigrid tau-extrapolation for nonlinear partial differential equations , pp. 543-558.

W. Heinrichs, Defect correction for convection dominated flow , pp. 559-566.

G. Kozlovsky,  High-order matching finite elements on recursive grids , pp. 567-574.

S. Zhang, On the multigrid method for 3D mixed macro-elements , pp. 575-582.

Parallel Computations

W. Couzy,  Iterative solutions of the 3D transient Navier-Stokes equations on parallel computers , pp. 585-594.

P. F. Fischer, Parallel multi-level solvers for spectral element methods , pp. 595-604.

L. Vozovoi, M. Israeli and A. Averbuch, Parallel spectral Fourier algorithm for fluid dynamics problems, pp. 605-612.