Domain decomposition methods in scientific and engineering computing : proceedings of the Seventh International Conference on Domain Decomposition, October 27-30, 1993, the Pennsylvania State University / [electronic resource]
David E. Keyes, Jinchao Xu, editors.
- Providence, R.I. : American Mathematical Society, c1994.
- 1 online resource (xxvii, 546 p. : ill.)
- Contemporary mathematics, v. 180 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; v. 180. .
Includes bibliographical references.
Interpolation spaces and optimal multilevel preconditioners / Two-level 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 / Three-dimensional 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 $P_1$ nonconforming finite elements and discontinuous coefficients in three dimensions / On generalized Schwarz coupling applied to advection-dominated problems / Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements / Preconditioning via asymptotically-defined 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 / Two-grid methods for mixed finite element approximations of nonlinear parabolic equations / Domain decomposition algorithms for PDE problems with large scale variations / A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations / Domain-oriented 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 convection-diffusion operators / On domain decomposition and shooting methods for two-point boundary value problems / Robust methods for highly nonsymmetric problems / Domain decomposition via the Sinc-Galerkin method for second order differential equations / A bisection method to find all solutions of a system of nonlinear equations / Preconditioning cell-centered finite difference equations on grids with local refinement / Outflow boundary conditions and domain decomposition method / Domain decomposition for adaptive $hp$ 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 multi-color splitting method and convergence analysis for local grid refinement / Boundary elements in domain decomposition methods / An overdetermined Schwarz alternating method / Folkmar A. Bornemann -- Susanne C. Brenner -- H.-J. Bungartz, M. Griebel, D. R�oschke and C. Zenger -- Xiao-Chuan 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. R�ude -- 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. Aza�iez 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, Tsorng-Whay Pan and Jacques P�eriaux -- M. Griebel -- Michael Holst and Faisal Saied -- Edgar Katzer -- Seongjai Kim -- Yu. A. Kuznetsov, P. Neittaanm�aki and P. Tarvainen -- C.-H. Lai -- W. Layton, J. Maubach and P. Rabier -- Nancy J. Lybeck and Kenneth L. Bowers -- Petr Mejzl�ik -- 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 L�u and Ai Hui Zhou -- Olaf Steinbach -- Victor H. http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01950 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01951 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01952 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01953 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01954 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01955 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01956 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01957 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01958 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01959 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01960 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01961 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01962 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01963 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01964 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01965 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01966 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01967 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01968 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1969 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1970 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01971 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1972 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01973 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01974 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01975 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01976 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01977 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01978 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01979 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1980 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1981 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01982 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01983 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01984 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1985 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1986 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01987 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01988 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01989 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01990 Sun and Wei-Pai Tang -- Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition / ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces / Parallel domain decomposition applied to coupled transport equations / MENUS-PGG: A mapping environment for unstructured and structured numerical parallel grid generation / A comparison of three iterative algorithms based on domain decomposition methods / Xue Cheng Tai -- H. Wang, H. K. Dahle, R. E. Ewing, T. Lin and J. E. V�ag -- Petter E. Bj�rstad, W. M. Coughran, Jr. and Eric Grosse -- Nikos Chrisochoides, Geoffrey Fox and Joe Thompson -- Patrick Ciarlet Jr -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01991 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01992 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1993 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1994 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1995 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1996
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877715 (online)
Decomposition method--Congresses.
Differential equations, Partial--Congresses.
QA402.2 / .I55 1993
515/.353
Includes bibliographical references.
Interpolation spaces and optimal multilevel preconditioners / Two-level 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 / Three-dimensional 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 $P_1$ nonconforming finite elements and discontinuous coefficients in three dimensions / On generalized Schwarz coupling applied to advection-dominated problems / Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements / Preconditioning via asymptotically-defined 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 / Two-grid methods for mixed finite element approximations of nonlinear parabolic equations / Domain decomposition algorithms for PDE problems with large scale variations / A one shot domain decomposition/fictitious domain method for the Navier-Stokes equations / Domain-oriented 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 convection-diffusion operators / On domain decomposition and shooting methods for two-point boundary value problems / Robust methods for highly nonsymmetric problems / Domain decomposition via the Sinc-Galerkin method for second order differential equations / A bisection method to find all solutions of a system of nonlinear equations / Preconditioning cell-centered finite difference equations on grids with local refinement / Outflow boundary conditions and domain decomposition method / Domain decomposition for adaptive $hp$ 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 multi-color splitting method and convergence analysis for local grid refinement / Boundary elements in domain decomposition methods / An overdetermined Schwarz alternating method / Folkmar A. Bornemann -- Susanne C. Brenner -- H.-J. Bungartz, M. Griebel, D. R�oschke and C. Zenger -- Xiao-Chuan 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. R�ude -- 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. Aza�iez 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, Tsorng-Whay Pan and Jacques P�eriaux -- M. Griebel -- Michael Holst and Faisal Saied -- Edgar Katzer -- Seongjai Kim -- Yu. A. Kuznetsov, P. Neittaanm�aki and P. Tarvainen -- C.-H. Lai -- W. Layton, J. Maubach and P. Rabier -- Nancy J. Lybeck and Kenneth L. Bowers -- Petr Mejzl�ik -- 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 L�u and Ai Hui Zhou -- Olaf Steinbach -- Victor H. http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01950 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01951 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01952 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01953 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01954 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01955 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01956 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01957 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01958 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01959 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01960 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01961 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01962 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01963 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01964 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01965 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01966 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01967 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01968 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1969 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1970 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01971 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1972 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01973 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01974 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01975 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01976 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01977 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01978 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01979 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1980 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1981 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01982 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01983 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01984 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1985 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1986 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01987 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01988 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01989 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01990 Sun and Wei-Pai Tang -- Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition / ELLAM-based domain decomposition and local refinement techniques for advection-diffusion equations with interfaces / Parallel domain decomposition applied to coupled transport equations / MENUS-PGG: A mapping environment for unstructured and structured numerical parallel grid generation / A comparison of three iterative algorithms based on domain decomposition methods / Xue Cheng Tai -- H. Wang, H. K. Dahle, R. E. Ewing, T. Lin and J. E. V�ag -- Petter E. Bj�rstad, W. M. Coughran, Jr. and Eric Grosse -- Nikos Chrisochoides, Geoffrey Fox and Joe Thompson -- Patrick Ciarlet Jr -- http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01991 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/01992 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1993 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1994 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1995 http://www.ams.org/conm/180/ http://dx.doi.org/10.1090/conm/180/1996
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821877715 (online)
Decomposition method--Congresses.
Differential equations, Partial--Congresses.
QA402.2 / .I55 1993
515/.353