Domain decomposition methods in science and engineering : the sixth International Conference on Domain Decomposition, June 15-19, 1992, Como, Italy / Alfio Quarteroni [and three others], editors.

Format:

Book

Conference/Event

Author/Creator:

International Conference on Domain Decomposition, Corporate Author.

Contributor:

Quarteroni, Alfio, editor.

Conference Name:

International Conference on Domain Decomposition (6th : 1992 : Como, Italy), issuing body.

International Conference on Domain Decomposition.

Series:

Contemporary mathematics, 0271-4132 . 157.

Contemporary mathematics, 157 0271-4132

Language:

English

Subjects (All):

Decomposition method--Congresses.

Decomposition method.

Differential equations, Partial--Congresses.

Differential equations, Partial.

Physical Description:

1 online resource (xxii, 484 p. ) ill. ;

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1994]

Language Note:

English

Summary:

This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Developments in this area are driven by advances in computer technology as well as by a strengthening in the mathematical foundations of the subject. Compared to just a few years ago, experts have much more experience with difficult applications and have accumulated solid evidence that these methods provide valuable tools for solving problems in science and engineering. Much of the work in this field focuses on developing numerical methods for large algebraic systems, methods central to producing efficient codes for computational fluid dynamics, elasticity, and other core problems of continuum mechanics. These methods hold the promise of allowing simulations of very high resolution with relative ease. This approach allows for the flexibility of using different numerical methods and different models, each appropriate for the subregion at hand, to solve large problems in a cost-effective way. Containing contributions by international experts in this area, this book reports on the state-of-the-art in the growing field of domain decomposition.

Contents:

Intro

Contents

Preface

List of Participants

Part I: Theory

Invited Lectures

Domain decomposition methods using modified basis functions

Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity

A three-field domain decomposition method

Self-adaptive coupling of mathematical models and/or numerical methods

Noniterative domain decomposition for second order hyperbolic problems

Some recent results on Schwarz type domain decomposition algorithms

Overlapping domain decomposition methods for parabolic problems

Domain decomposition and multilevel PCG method for solving 3-D fourth order problems

Some two-grid finite element methods

Contributed Lectures

Interface conditions for a kind of non linear elliptic-hyperbolic problems

A domain decomposition for the transport equation

Hybrid domain decomposition with unstructured subdomains

Some Schwarz algorithms for the p-version finite element method

On the robustness and efficiency of the fully adaptive multigrid method

Finite volume variational formulation. Application to domain decomposition methods

Part II: Algorithms

Multigrid solvers on decomposed domains

Domain decomposition preconditioners for convection diffusion problems

A domain decomposition approach to solving the Helmholtz equation with a radiation boundary condition

The dual Schur complement method with well-posed local Neumann problems

Implicit domain decomposition algorithms for steady, compressible aerodynamics

A new mixed preconditioning method based on the clustered element-by element preconditioners

Domain decomposition methods with local Fourier basis for parabolic problems

A domain decomposition method for the polar factorization of vector fields.

An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation

An iterative finite-element collocation method for parabolic problems using domain decomposition

A domain decomposition method using sparse grids

Domain decomposition for the Stokes equations in streamfunction formulation

Overlapping domain decomposition methods for the obstacle problem

An iteration scheme for non-symmetric interface operators

Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method

Domain decomposition method coupling fmite elements and preconditioned Chebyshev collocation to solve elliptic problems

Additive Schwarz methods and acceleration with variable weights

Part III: Parallelism

Parallel domain decomposition for incompressible fluid dynamics

Experiences with domain decomposition in three dimensions: Overlapping Schwarz methods

Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition

Implementation of domain decomposition techniques on nCUBE2 parallel machine

A class of domain decomposition preconditioners for massively parallel computers

A domain decomposition environment for local time dependent problems

A parallel element-by-element method for large-scale computations with h - p -finite elements

Part IV: Applications

Coupling Boltzmann and Euler equations without overlapping

On the numerical solution of the Helmholtz equation at large wave numbers using exact controllability methods. Application to scattering

A fictitious domain method for unsteady incompressible viscous flow modelled by Navier-Stokes equations

Introduction of domain decomposition techniques in time-dependent flow problems.

The Schur complement algorithm for the solution of contact problems

Spectral multidomain methods for the simulation of wave propagation in heterogeneous media

Domain decomposed preconditioning for faulted geological blocks

A domain decomposition method for simulating 2D external viscous flows

Interface conditions for heterogeneous domain decomposition: coupling of different hyperbolic systems

Simulation of 3D Navier-Stokes flows via domain decomposition by the modified discrete vector potential model

Author Index.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and index.

Description based on print version record.

Other Format:

Print version: International Conference on Domain Decomposition Domain decomposition methods in science and engineering : the sixth International Conference on Domain Decomposition, June 15-19, 1992, Como, Italy.

ISBN:

0-8218-7748-8

0-8218-5158-6