Spectral and high order methods for partial differential equations : proceedings of the ICOSAHOM'89 Conference, Villa Olmo, Como (Italy) 26-29 June 1989
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書誌事項
Spectral and high order methods for partial differential equations : proceedings of the ICOSAHOM'89 Conference, Villa Olmo, Como (Italy) 26-29 June 1989
North-Holland , Distributors for the United States and Canada : Elsevier Science Pub. Co., c1990
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注記
"The first International Conference on Spectral and High Order Methods for Partial Differential Equations (ICOSAHOM'89) was organized at the Villa Olmo in Como" -- Pref
Includes bibliographical references and indexes
内容説明・目次
内容説明
In the last decade high order methods for scientific computing have been attracting increasing interest. This trend has been generated by the need for a higher accuracy in the numerical simulation of more and more complex scientific and technological problems; it is backed up by sound mathematical research, and propelled by the availability of faster supercomputers. Spectral methods have now become the methods preferred in the prediction of many highly structured phenomena. The h-p version of the finite element method has proven extremely effective in handling singularities in structural mechanics. Finite differences have been demonstrated capable of blending flexibility and accuracy in applications to non-smooth problems. Although these and other high order methods originated from different, sometimes even opposite philosophies, they exhibit common features, and share a large part of the methodologies for their mathematical investigation and their algorithmic implementation. The technical content of the 14 invited and 30 general papers presented in this volume reflect the high standard of current research being achieved in this field.
目次
Invited Lectures. The p and hp version of the finite element method, an overview (I. Babuska, M. Suri). Chebyshev collocation solutions of flow problems (M.O. Deville). Spectral simulation of unsteady compressible flow past a circular cylinder (W.-S. Don, D. Gottlieb). Propagation of error into regions of smoothness for non-linear approximations to hyperbolic equations (R. Donat, S. Osher). A high-order Lagrangian-decoupling method for the incompressible Navier-Stokes equations (L.-W. Ho et al.). Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries (Y. Maday, E.M. Ronquist). Iterative solvers by substructuring for the p-version finite element method (J. Mandel). The chebyshev multidomain approach to stiff problems in fluid mechanics (R. Peyret). Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues (S.C. Reddy, L.N. Trefethen). Dispersion-bounded numerical integration of the elastodynamic equations with cost-effective staggered schemes (P.S. Guazzero et al.). Vortex structure and dynamics in turbulence (Z.-S. She et al.). The p- and hp- versions of the finite element method in solid mechanics (B.A. Szabo). Shock capturing by the spectral viscosity method (E. Tadmor). Spectral methods for simulations of transition and turbulence (T.A. Zang). Sections: 1. Algorithms for Incompressible Navier-Stokes Equations. A spectral method for time modulated Taylor-Couette flow (C.F. Barenghi). A three-dimensional pseudo-spectral algorithm for the computation of convection in a rotating annulus (P. Le Quere, J. Pecheux). 2. Multigrid and Preconditioning Methods. Algebraic spectral multigrid methods (W. Heinrichs). On the spectrum of the iteration operator associated to the finite element preconditioning of Chebyshev collocation calculations (P. Francken et al.). 3. Domain Decomposition, Spectral Elements, h-p Finite Elements. The h-p version of the boundary element method with geometric mesh on polygonal domains (I. Babuska et al.). Pseudo-spectral multi-domain method for incompressible viscous flow computation (A. Farcy et al.). Pseudospectral matrix element methods for flow in complex geometry (H.C. Ku et al.). 4. Algorithms for Compressible Navier-Stokes Equations and Hyperbolic Problems. Fourth order schemes for the heterogeneous acoustics equation (G. Cohen, P. Joly). A Hamiltonian explicit algorithm with spectral accuracy for the `good' Boussinesq system (J. de Frutos et al.). A semi-implicit collocation method: application to two-dimensional compressible convection (S. Gauthier). 5. Approximation of Problems in Unbounded Domains. Truncation versus mapping in the spectal approximation to the Korteweg-de Vries equation (N. Bressan, D. Pavoni). Spectral methods and mappings for evolution equations on the infinite line (J.A.C. Weideman, A. Cloot). 6. Parallelism in High Order Methods. Pseudospectral methods on massively parallel computers (R.B. Pelz).
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