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Domain Decomposition Methods in Science and Engineering.
This book contains the proceedings of the Sixth International Conference on Domain Decomposition, held in June 1992 in Como, Italy. Developments in this area are driven by advances in computer technology as well as by a strengthening in the mathematical foundations of the subject. Compared to just a...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
1994.
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| Colección: | Contemporary Mathematics Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; Contents; Preface; List of Participants; Part I: Theory; Invited Lectures; Domain decomposition methods using modified basis functions; Uniform convergence estimates for multigrid V-cycle algorithms with less than full elliptic regularity; A three-field domain decomposition method; Self-adaptive coupling of mathematical models and/or numerical methods; Noniterative domain decomposition for second order hyperbolic problems; Some recent results on Schwarz type domain decomposition algorithms; Overlapping domain decomposition methods for parabolic problems.
- Domain decomposition and multilevel PCG method for solving 3-D fourth order problemsSome two-grid finite element methods; Contributed Lectures; Interface conditions for a kind of non linear elliptic-hyperbolic problems; A domain decomposition for the transport equation; Hybrid domain decomposition with unstructured subdomains; Some Schwarz algorithms for the p-version finite element method; On the robustness and efficiency of the fully adaptive multigrid method; Finite volume variational formulation. Application to domain decomposition methods; Part II: Algorithms; Invited Lectures.
- Multigrid solvers on decomposed domainsDomain decomposition preconditioners for convection diffusion problems; A domain decomposition approach to solving the Helmholtz equation with a radiation boundary condition; The dual Schur complement method with well-posed local Neumann problems; Implicit domain decomposition algorithms for steady, compressible aerodynamics; A new mixed preconditioning method based on the clustered element-by element preconditioners; Contributed Lectures; Domain decomposition methods with local Fourier basis for parabolic problems.
- A domain decomposition method for the polar factorization of vector fieldsAn additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation; An iterative finite-element collocation method for parabolic problems using domain decomposition; A domain decomposition method using sparse grids; Domain decomposition for the Stokes equations in streamfunction formulation; Overlapping domain decomposition methods for the obstacle problem; An iteration scheme for non-symmetric interface operators.
- Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz methodDomain decomposition method coupling fmite elements and preconditioned Chebyshev collocation to solve elliptic problems; Additive Schwarz methods and acceleration with variable weights; Part III: Parallelism; Invited Lectures; Parallel domain decomposition for incompressible fluid dynamics; Experiences with domain decomposition in three dimensions: Overlapping Schwarz methods; Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition; Contributed Lectures.