Domain Decomposition Methods in Sciences and EngineeringR. Glowinski Domain 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. |
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 |
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1997 John Wiley Additive Schwarz method applied approximation asymptotic bilinear form Boltzmann boundary conditions boundary element boundary element method coarse space coefficients condition number constant convergence rate coupling DDMs defined denote Dirichlet Dirichlet boundary conditions domain decomposition algorithms Domain Decomposition Methods elliptic problems extrapolation Figure finite element method finite element space flow global Glowinski GMRES grid domain H¹(N implementation inequality interface interpolation iterative methods Lemma linear system Math Mathematics matrix methods for elliptic Methods in Sciences monotone multigrid method multigrid method multilevel N₁ Navier-Stokes equations Neumann nodal nodes nonconforming nonlinear obtained operator optimal overlapping parallel computation parameters partial differential equations partition piecewise preconditioner preconditioning satisfies Sciences and Engineering SIAM solution solver solving spectral step subdomains subproblems subregions subspace substructuring symmetric techniques Theorem triangulation Un+1 V₁ values vector velocity Widlund Wiley & Sons ди