## Domain decomposition methods in sciences and engineering: 8th international conference, Bejing, P.R. ChinaDomain Decomposition Methods are receiving significant attention in scientific and engineering computing. They provide a broad class of effective numerical methods for the solution of large scale mathematical-physical problems from sciences and engineering. This book contains invited and contributed papers from the 8th Domain Decomposition Methods Conference. The topics addressed range from basic theoretical research to industrial applications: basic algorithms, multilevel methods, parallel computing, transport, wave and flow problems. Applications include problems from fluid and structural mechanics, electromagnetics and petroleum engineering. |

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### Contents

Preconditioners for Spectral and Mortar Finite Element Methods | 19 |

Algorithms for the Mortar Element Method | 33 |

Some Recent Developments in Domain Decomposition Methods | 51 |

26 other sections not shown

### Common terms and phrases

1997 John Wiley Additive Schwarz method Anal applied approximation assume assumptions bilinear form Boltzmann boundary conditions boundary element method coarse grid coarse space coefficients Comp condition number conjugate gradient convergence rate defined denote diagonal dimensions Dirichlet Dirichlet boundary conditions Dirichlet problem discrete domain decomposition algorithm Domain Decomposition Methods elliptic problems error estimates extrapolation Figure finite element method finite element space flow function global Glowinski GMRES implementation inequality interface interior interpolation iterative methods Lemma linear system Math Mathematics matrix methods for elliptic Methods in Sciences mortar multigrid method multilevel Navier-Stokes equations Neumann nodal nodes nonconforming nonconforming finite element nonlinear norm obtained operator optimal overlapping parallel computation parameters partial differential equations partition piecewise preconditioned preconditioner satisfies Schwarz algorithm Sciences and Engineering SIAM solution solver solving spectral splitting step subdomain subproblems subregions subspace substructuring symmetric techniques Theorem triangulation vector velocity Widlund Wiley & Sons