2 edition of **Parallel multigrid waveform relaxation for parabolic problems** found in the catalog.

Parallel multigrid waveform relaxation for parabolic problems

Stefan Vandewalle

- 299 Want to read
- 35 Currently reading

Published
**1993**
by Teubner in Stuttgart
.

Written in English

- Differential equations, Parabolic -- Numerical solutions -- Data processing.,
- Multigrid methods (Numerical analysis),
- Parallel processing (Electronic computers)

**Edition Notes**

Includes bibliographical references (p. [237]-248) and index.

Statement | Stefan Vandewalle. |

Series | Teubner Skripten zur Numerik |

Classifications | |
---|---|

LC Classifications | QA377 .V357 1993 |

The Physical Object | |

Pagination | 253 p. : |

Number of Pages | 253 |

ID Numbers | |

Open Library | OL866995M |

ISBN 10 | 3519027178 |

LC Control Number | 95151377 |

OCLC/WorldCa | 30139207 |

The algorithm, which is described for solving linear parabolic problems, is based on the use of the multigrid method and waveform relaxation, a technique for solving large systems * Senior research assistant of the National Fund for Scientific Research (Belgium) /91/$ - Elsevier Science Publishers :// Abstract. The waveform relaxation method and its multigrid acceleration are studied as solution procedures for the system of ordinary differential equations obtained by finite element discretisation of a linear parabolic initial boundary value ://

problems, and [25] for diffusion problems in mixed formulations). Thus, the main goals of this paper are as follows: To introduce the Dirichlet–Neumann Waveform Relaxation (DNWR) and Neumann– Neumann Waveform Relaxation (NNWR) methods for parabolic initial value prob-lems, for a general decomposition into subdomains;~gander/Preprints/ Parallel Calculation for Power System Transient Stability Based on Waveform Relaxation Method 波形松弛法的电力系统暂态稳定性并行仿真计算 短句来源 Waveform Relaxation Method and Its Improvements 波形松弛法及其改进 短句来源 Convergnce of waveform Relaxation for differential-algebaic cquations

Overlapping Schwarz Waveform Relaxation for Parabolic Problems in Higher Dimension, M.J. Gander and H. Zhao, Proceedings of Algori pp. , Overlapping Schwarz for Linear and Nonlinear Parabolic Problems, M.J. Gander, Proceedings of the 9th International Conference on Domain Decomposition, , pp. , ~gander/ shooting, domain decomposition, waveform relaxation, and multigrid including [4,9,11,12,18,22,25{29,32,33, 35,36,43{47]. A recent review of the extensive literature in this area is [17]. There are now many available parallel-in-time meth-ods that allow for faster time-to-solution in comparison with classical time-stepping approaches, given enough

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Parallel Multigrid Waveform Relaxation for Parabolic Problems. Authors (view affiliations) Stefan Vandewalle Parallel Implementation of Standard Parabolic Marching Schemes. Computational Complexity of Multigrid Waveform Relaxation.

Stefan Vandewalle. Pages Case Studies. Stefan Vandewalle. Pages Concluding Remarks and Parallel multigrid waveform relaxation for parabolic problems. Stuttgart: Teubner, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Stefan Vandewalle Cite this chapter as: Vandewalle S.

() Waveform Relaxation Methods. In: Parallel Multigrid Waveform Relaxation for Parabolic :// It is shown that the convergence of the method is intimately related to the convergence of the corresponding initial value waveform relaxation method. The multigrid acceleration is discussed.

Finally, an algorithm based on a modified shooting method is given for solving autonomous periodic :// Abstract. We detail the arithmetic complexity of the multigrid waveform relaxation method. It is shown that the complexity is comparable to that of the best sequential solvers in the case of initial boundary value :// Abstract.

We comment on the use of waveform relaxation techniques for solving parabolic initial boundary value problems. It is illustrated that the Jacobi, Gauss-Seidel and SOR methods do not lead to satisfactory, rapidly convergent :// Space-time concurrent multigrid waveform relaxation (WRMG) WRMG.

Multigrid waveform relaxation is an algorithm for solving parabolic partial differential equations on multicomputers. The method is based on applying standard iterative methods to systems of ordinary differential equations and using multigrid techniques for accelerating this :// Vandewalle, S.

and R. Piessens, Numerical experiments with nonlinear multigrid waveform relaxation on a parallel processor, Applied Numerical Mathematics 8 () Standard time-stepping techniques for solving parabolic partial differential equations cannot be parallelized or~alle/Papers/ SIAM Journal on Scientific ComputingCC Abstract () A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems.

() Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Discrete-Time :// Naturally also a more parallel Jacobi waveform relaxation can be and by Gander and Stuart for parabolic problems [4].

Classical Schwarz waveform relaxation for the heat equation, and is also more robust than the parabolic multigrid method proposed earlier by Hackbusch in [7], where one applies the smoother for the stationary ~gander/Preprints/ ANALYSIS OF A NEW SPACE-TIME PARALLEL MULTIGRID ALGORITHM FOR PARABOLIC PROBLEMS MARTIN J.

GANDER ∗ AND MARTIN NEUMULLER¨ † Abstract. We present and analyze a new space-time~gander/Preprints/ Two recently developed methods, multigrid waveform relaxation and time-parallel multigrid, have been designed to solve parabolic partial differential equations on many time-levels :// decomposition, waveform relaxation, and multigrid, including [22,16,25,1,17,18,38, 5,39,37,20,19,24,7,31,9,40,10].

For a gentle introduction to this history, please see the review paper [12]. This work focuses on multigrid approaches (and MGRIT in particular) because of multigrid’s optimal algorithmic scaling for both parallel The numerical solution of a parabolic partial differential equation is usually calculated by a timestepping method.

This precludes the efficient use of vectorization and parallelism if the problem The algorithm is a variant of the multigrid waveform relaxation method where the scalar ordinary differential equations that make up the kernel of computation are solved using a cyclic reduction-type algorithm.

Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems. SIAM Journal on Scientific Computing Fourier-Laplace Analysis of Multigrid Waveform Relaxation Method for Hyperbolic Equations_专业 (), pp.

{ 17] S. Vandewalle, Parallel multigrid waveform relaxation for parabolic problems, B.G. Teubner Verlag, Stuttgart, 18] P. Wesseling › 百度文库 › 互联网. Parallel Multigrid Methods Proceedings of the Fifth International Symposium on Solving Irregularly Structured Problems in Parallel, Springer, New York, ] for the selection of coarse-grid We present and analyze a new space-time parallel multigrid method for parabolic equations.

The method is based on arbitrarily high order discontinuous Galerkin discretizations in time and a finite estimate. We then explain how to implement the new multigrid algorithm in parallel and show with numerical experiments its excellent strong and weak scalability properties.

Key words. space-time parallel methods, multigrid in space-time, DG-discretizations, strong and weak scalability, parabolic problems AMS subject classiﬁcations. 65N55 ~gander/Preprints/ Multigrid waveform relaxation is an algorithm for solving parabolic partial differential equations on multicomputers.

It is shown in this that the algorithm allows a. partitioning of the. Two recently developed methods, the multigrid waveform relaxation method and the time-parallel multigrid method, have been designed to solve parabolic partial differential equations on many time Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link)This multigrid waveform relaxation algorithm has been tested extensively [31 ]-[33], and has been shown to work well for a variety of parabolic problems, both linear and