Domain decomposition methods in scientific and engineering computing : proceedings of the Seventh International Conference on Domain Decomposition, October 2730, 1993, the Pennsylvania State University

Contributor(s): Keyes David E | Xu JinchaoMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 180Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (xxvii, 546 p. : ill.)ISBN: 9780821877715 (online)Subject(s): Decomposition method | Differential equations, PartialOnline resources: Click here to access online
Contents:
Interpolation spaces and optimal multilevel preconditioners ; Twolevel additive Schwarz preconditioners for nonconforming finite elements ; Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems ; Domain decomposition methods for monotone nonlinear elliptic problems ; Cascadic conjugate gradient methods for elliptic partial differential equations: algorithm and numerical results ; Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions ; Multilevel methods for elliptic problems on domains not resolved by the coarse grid ; Threedimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers ; Domain decomposition for elliptic problems with large condition numbers ; Stable subspace splittings for Sobolev spaces and domain decomposition algorithms ; A wire basket based method for spectral elements in three dimensions ; An analysis of spectral graph partitioning via quadratic assignment problems ; Error estimates based on stable splittings ; Multilevel methods for Folkmar A Bornemann ; Susanne C Brenner ; HJ Bungartz M Griebel D Roschke and C Zenger ; XiaoChuan Cai and Maksymilian Dryja ; Peter Deuflhard ; Maksymilian Dryja ; Ralf Kornhuber and Harry Yserentant ; P Le Tallec T Sassi and M Vidrascu ; S V Nepomnyaschikh ; P Oswald ; Luca F Pavarino ; Alex Pothen ; U Rude ; Marcus Sarkis ; K H Tan and M J A Borsboom ; Olof B Widlund ; S F Ashby C T Kelley P E Saylor and J S Scroggs ; M Azaiez and A Quarteroni ; Nikolai S Bakhvalov and Andrew V Knyazev ; Randolph E Bank and Jinchao Xu ; Tony F Chan and Barry F Smith ; Clint N Dawson and Mary F Wheeler ; Luc Giraud and Ray S Tuminaro ; Roland Glowinski TsorngWhay Pan and Jacques Periaux ; M Griebel ; Michael Holst and Faisal Saied ; Edgar Katzer ; Seongjai Kim ; Yu A Kuznetsov P Neittaanmaki and P Tarvainen ; CH Lai ; W Layton J Maubach and P Rabier ; Nancy J Lybeck and Kenneth L Bowers ; Petr Mejzlik ; Ilya D Mishev ; F Nataf and F Rogier ; J Tinsley Oden Abani Patra and Yusheng Feng ; Michael Pernice ; L Ridgway Scott ; Jian Ping Shao ; Tsi Min Shih Chin Bo Liem Tao Lu and Ai Hui Zhou ; Olaf Steinbach ; Victor H Sun and WeiPai Tang ; Xue Cheng Tai ; H Wang H K Dahle R E Ewing T Lin and J E Vag ; Petter E Bjrstad W M Coughran Jr and Eric Grosse ; Nikos Chrisochoides Geoffrey Fox and Joe Thompson ; Patrick Ciarlet Jr
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Includes bibliographical references.

Interpolation spaces and optimal multilevel preconditioners ; Twolevel additive Schwarz preconditioners for nonconforming finite elements ; Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems ; Domain decomposition methods for monotone nonlinear elliptic problems ; Cascadic conjugate gradient methods for elliptic partial differential equations: algorithm and numerical results ; Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions ; Multilevel methods for elliptic problems on domains not resolved by the coarse grid ; Threedimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers ; Domain decomposition for elliptic problems with large condition numbers ; Stable subspace splittings for Sobolev spaces and domain decomposition algorithms ; A wire basket based method for spectral elements in three dimensions ; An analysis of spectral graph partitioning via quadratic assignment problems ; Error estimates based on stable splittings ; Multilevel methods for _1 nonconforming finite elements and discontinuous coefficients in three dimensions ; On generalized Schwarz coupling applied to advectiondominated problems ; Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements ; Preconditioning via asymptoticallydefined domain decomposition ; A spectral Stokes solver in domain decomposition methods ; Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients ; The hierarchical basis multigrid method and incomplete LU decomposition ; Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes ; Twogrid methods for mixed finite element approximations of nonlinear parabolic equations ; Domain decomposition algorithms for PDE problems with large scale variations ; A one shot domain decompositionfictitious domain method for the NavierStokes equations ; Domainoriented multilevel methods ; Multigrid and domain decomposition methods for electrostatics problems ; A parallel subspace decomposition method for hyperbolic equations ; Numerical treatments for the Helmholtz problem by domain decomposition techniques ; Schwarz methods for obstacle problems with convectiondiffusion operators ; On domain decomposition and shooting methods for twopoint boundary value problems ; Robust methods for highly nonsymmetric problems ; Domain decomposition via the SincGalerkin method for second order differential equations ; A bisection method to find all solutions of a system of nonlinear equations ; Preconditioning cellcentered finite difference equations on grids with local refinement ; Outflow boundary conditions and domain decomposition method ; Domain decomposition for adaptive p finite element methods ; Domain decomposed preconditioners with Krylov subspace methods as subdomain solvers ; Elliptic preconditioners using fast summation techniques ; The modified vertex space domain decomposition method for Neumann boundary value problems ; A multicolor splitting method and convergence analysis for local grid refinement ; Boundary elements in domain decomposition methods ; An overdetermined Schwarz alternating method ; Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition ; ELLAMbased domain decomposition and local refinement techniques for advectiondiffusion equations with interfaces ; Parallel domain decomposition applied to coupled transport equations ; MENUSPGG: A mapping environment for unstructured and structured numerical parallel grid generation ; A comparison of three iterative algorithms based on domain decomposition methods Folkmar A Bornemann ; Susanne C Brenner ; HJ Bungartz M Griebel D Roschke and C Zenger ; XiaoChuan Cai and Maksymilian Dryja ; Peter Deuflhard ; Maksymilian Dryja ; Ralf Kornhuber and Harry Yserentant ; P Le Tallec T Sassi and M Vidrascu ; S V Nepomnyaschikh ; P Oswald ; Luca F Pavarino ; Alex Pothen ; U Rude ; Marcus Sarkis ; K H Tan and M J A Borsboom ; Olof B Widlund ; S F Ashby C T Kelley P E Saylor and J S Scroggs ; M Azaiez and A Quarteroni ; Nikolai S Bakhvalov and Andrew V Knyazev ; Randolph E Bank and Jinchao Xu ; Tony F Chan and Barry F Smith ; Clint N Dawson and Mary F Wheeler ; Luc Giraud and Ray S Tuminaro ; Roland Glowinski TsorngWhay Pan and Jacques Periaux ; M Griebel ; Michael Holst and Faisal Saied ; Edgar Katzer ; Seongjai Kim ; Yu A Kuznetsov P Neittaanmaki and P Tarvainen ; CH Lai ; W Layton J Maubach and P Rabier ; Nancy J Lybeck and Kenneth L Bowers ; Petr Mejzlik ; Ilya D Mishev ; F Nataf and F Rogier ; J Tinsley Oden Abani Patra and Yusheng Feng ; Michael Pernice ; L Ridgway Scott ; Jian Ping Shao ; Tsi Min Shih Chin Bo Liem Tao Lu and Ai Hui Zhou ; Olaf Steinbach ; Victor H Sun and WeiPai Tang ; Xue Cheng Tai ; H Wang H K Dahle R E Ewing T Lin and J E Vag ; Petter E Bjrstad W M Coughran Jr and Eric Grosse ; Nikos Chrisochoides Geoffrey Fox and Joe Thompson ; Patrick Ciarlet Jr

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