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Domain decomposition methods in scientific and engineering computing : [electronic resource] proceedings of the Seventh International Conference on Domain Decomposition, October 27-30, 1993, the Pennsylvania State University / David E. Keyes, Jinchao Xu, editors.

By: (7th : International Conference on Domain Decomposition (7th : 1993 : Pennsylvania State University)Contributor(s): Keyes, David E | Xu, Jinchao, 1961-Material type: Text

TextSeries: Contemporary mathematics (American Mathematical Society) ; v. 180.Publication details: Providence, R.I. : American Mathematical Society, c1994Description: 1 online resource (xxvii, 546 p. : ill.)ISBN: 9780821877715 (online)Subject(s): Decomposition method -- Congresses | Differential equations, Partial -- CongressesAdditional physical formats: Domain decomposition methods in scientific and engineering computing :DDC classification: 515/.353 LOC classification: QA402.2 | .I55 1993Online resources: Contents | Contents

Partial contents:

Interpolation spaces and optimal multilevel preconditioners / Folkmar A. Bornemann -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01950 Two-level additive Schwarz preconditioners for nonconforming finite elements / Susanne C. Brenner -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01951 Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems / H.-J. Bungartz, M. Griebel, D. R�oschke and C. Zenger -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01952 Domain decomposition methods for monotone nonlinear elliptic problems / Xiao-Chuan Cai and Maksymilian Dryja -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01953 Cascadic conjugate gradient methods for elliptic partial differential equations: algorithm and numerical results / Peter Deuflhard -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01954 Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions / Maksymilian Dryja -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01955 Multilevel methods for elliptic problems on domains not resolved by the coarse grid / Ralf Kornhuber and Harry Yserentant -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01956 Three-dimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers / P. Le Tallec, T. Sassi and M. Vidrascu -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01957 Domain decomposition for elliptic problems with large condition numbers / S. V. Nepomnyaschikh -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01958 Stable subspace splittings for Sobolev spaces and domain decomposition algorithms / P. Oswald -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01959 A wire basket based method for spectral elements in three dimensions / Luca F. Pavarino -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01960 An analysis of spectral graph partitioning via quadratic assignment problems / Alex Pothen -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01961 Error estimates based on stable splittings / U. R�ude -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01962 Multilevel methods for $P_1$ nonconforming finite elements and discontinuous coefficients in three dimensions / Marcus Sarkis -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01963 On generalized Schwarz coupling applied to advection-dominated problems / K. H. Tan and M. J. A. Borsboom -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01964 Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements / Olof B. Widlund -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01965 Preconditioning via asymptotically-defined domain decomposition / S. F. Ashby, C. T. Kelley, P. E. Saylor and J. S. Scroggs -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01966 A spectral Stokes solver in domain decomposition methods / M. Aza�iez and A. Quarteroni -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01967 Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients / Nikolai S. Bakhvalov and Andrew V. Knyazev -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01968 The hierarchical basis multigrid method and incomplete LU decomposition / Randolph E. Bank and Jinchao Xu -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1969 Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes / Tony F. Chan and Barry F. Smith -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1970 Two-grid methods for mixed finite element approximations of nonlinear parabolic equations / Clint N. Dawson and Mary F. Wheeler -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01971 Domain decomposition algorithms for PDE problems with large scale variations / Luc Giraud and Ray S. Tuminaro -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1972 A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations / Roland Glowinski, Tsorng-Whay Pan and Jacques P�eriaux -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01973 Domain-oriented multilevel methods / M. Griebel -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01974 Multigrid and domain decomposition methods for electrostatics problems / Michael Holst and Faisal Saied -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01975 A parallel subspace decomposition method for hyperbolic equations / Edgar Katzer -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01976 Numerical treatments for the Helmholtz problem by domain decomposition techniques / Seongjai Kim -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01977 Schwarz methods for obstacle problems with convection-diffusion operators / Yu. A. Kuznetsov, P. Neittaanm�aki and P. Tarvainen -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01978 On domain decomposition and shooting methods for two-point boundary value problems / C.-H. Lai -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01979 Robust methods for highly nonsymmetric problems / W. Layton, J. Maubach and P. Rabier -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1980 Domain decomposition via the Sinc-Galerkin method for second order differential equations / Nancy J. Lybeck and Kenneth L. Bowers -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1981 A bisection method to find all solutions of a system of nonlinear equations / Petr Mejzl�ik -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01982 Preconditioning cell-centered finite difference equations on grids with local refinement / Ilya D. Mishev -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01983 Outflow boundary conditions and domain decomposition method / F. Nataf and F. Rogier -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01984 Domain decomposition for adaptive $hp$ finite element methods / J. Tinsley Oden, Abani Patra and Yusheng Feng -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1985 Domain decomposed preconditioners with Krylov subspace methods as subdomain solvers / Michael Pernice -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1986 Elliptic preconditioners using fast summation techniques / L. Ridgway Scott -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01987 The modified vertex space domain decomposition method for Neumann boundary value problems / Jian Ping Shao -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01988 A multi-color splitting method and convergence analysis for local grid refinement / Tsi Min Shih, Chin Bo Liem, Tao L�u and Ai Hui Zhou -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01989 Boundary elements in domain decomposition methods / Olaf Steinbach -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01990 An overdetermined Schwarz alternating method / Victor H.

Sun and Wei-Pai Tang -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01991 Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition / Xue Cheng Tai -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01992 ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces / H. Wang, H. K. Dahle, R. E. Ewing, T. Lin and J. E. V�ag -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1993 Parallel domain decomposition applied to coupled transport equations / Petter E. Bj�rstad, W. M. Coughran, Jr. and Eric Grosse -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1994 MENUS-PGG: A mapping environment for unstructured and structured numerical parallel grid generation / Nikos Chrisochoides, Geoffrey Fox and Joe Thompson -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1995 A comparison of three iterative algorithms based on domain decomposition methods / Patrick Ciarlet Jr -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1996

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Includes bibliographical references.

Interpolation spaces and optimal multilevel preconditioners / Folkmar A. Bornemann -- Two-level additive Schwarz preconditioners for nonconforming finite elements / Susanne C. Brenner -- Two proofs of convergence for the combination technique for the efficient solution of sparse grid problems / H.-J. Bungartz, M. Griebel, D. R�oschke and C. Zenger -- Domain decomposition methods for monotone nonlinear elliptic problems / Xiao-Chuan Cai and Maksymilian Dryja -- Cascadic conjugate gradient methods for elliptic partial differential equations: algorithm and numerical results / Peter Deuflhard -- Multilevel methods for elliptic problems with discontinuous coefficients in three dimensions / Maksymilian Dryja -- Multilevel methods for elliptic problems on domains not resolved by the coarse grid / Ralf Kornhuber and Harry Yserentant -- Three-dimensional domain decomposition methods with nonmatching grids and unstructured coarse solvers / P. Le Tallec, T. Sassi and M. Vidrascu -- Domain decomposition for elliptic problems with large condition numbers / S. V. Nepomnyaschikh -- Stable subspace splittings for Sobolev spaces and domain decomposition algorithms / P. Oswald -- A wire basket based method for spectral elements in three dimensions / Luca F. Pavarino -- An analysis of spectral graph partitioning via quadratic assignment problems / Alex Pothen -- Error estimates based on stable splittings / U. R�ude -- Multilevel methods for $P_1$ nonconforming finite elements and discontinuous coefficients in three dimensions / Marcus Sarkis -- On generalized Schwarz coupling applied to advection-dominated problems / K. H. Tan and M. J. A. Borsboom -- Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements / Olof B. Widlund -- Preconditioning via asymptotically-defined domain decomposition / S. F. Ashby, C. T. Kelley, P. E. Saylor and J. S. Scroggs -- A spectral Stokes solver in domain decomposition methods / M. Aza�iez and A. Quarteroni -- Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients / Nikolai S. Bakhvalov and Andrew V. Knyazev -- The hierarchical basis multigrid method and incomplete LU decomposition / Randolph E. Bank and Jinchao Xu -- Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes / Tony F. Chan and Barry F. Smith -- Two-grid methods for mixed finite element approximations of nonlinear parabolic equations / Clint N. Dawson and Mary F. Wheeler -- Domain decomposition algorithms for PDE problems with large scale variations / Luc Giraud and Ray S. Tuminaro -- A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations / Roland Glowinski, Tsorng-Whay Pan and Jacques P�eriaux -- Domain-oriented multilevel methods / M. Griebel -- Multigrid and domain decomposition methods for electrostatics problems / Michael Holst and Faisal Saied -- A parallel subspace decomposition method for hyperbolic equations / Edgar Katzer -- Numerical treatments for the Helmholtz problem by domain decomposition techniques / Seongjai Kim -- Schwarz methods for obstacle problems with convection-diffusion operators / Yu. A. Kuznetsov, P. Neittaanm�aki and P. Tarvainen -- On domain decomposition and shooting methods for two-point boundary value problems / C.-H. Lai -- Robust methods for highly nonsymmetric problems / W. Layton, J. Maubach and P. Rabier -- Domain decomposition via the Sinc-Galerkin method for second order differential equations / Nancy J. Lybeck and Kenneth L. Bowers -- A bisection method to find all solutions of a system of nonlinear equations / Petr Mejzl�ik -- Preconditioning cell-centered finite difference equations on grids with local refinement / Ilya D. Mishev -- Outflow boundary conditions and domain decomposition method / F. Nataf and F. Rogier -- Domain decomposition for adaptive $hp$ finite element methods / J. Tinsley Oden, Abani Patra and Yusheng Feng -- Domain decomposed preconditioners with Krylov subspace methods as subdomain solvers / Michael Pernice -- Elliptic preconditioners using fast summation techniques / L. Ridgway Scott -- The modified vertex space domain decomposition method for Neumann boundary value problems / Jian Ping Shao -- A multi-color splitting method and convergence analysis for local grid refinement / Tsi Min Shih, Chin Bo Liem, Tao L�u and Ai Hui Zhou -- Boundary elements in domain decomposition methods / Olaf Steinbach -- An overdetermined Schwarz alternating method / Victor H.