Suchergebnisse - multigrid waveform relaxation algorithm
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A multigrid waveform relaxation method for solving the poroelasticity equations
ISSN: 0101-8205, 2238-3603, 1807-0302Veröffentlicht: Cham Springer International Publishing 01.09.2018Veröffentlicht in Computational & applied mathematics (01.09.2018)“… it. A semi-algebraic mode analysis is proposed to theoretically analyze the convergence of the multigrid waveform relaxation algorithm …”
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Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation
ISSN: 0021-9991, 1090-2716Veröffentlicht: Cambridge Elsevier Inc 01.09.2020Veröffentlicht in Journal of computational physics (01.09.2020)“… •The solver is a space-time multigrid method based on the waveform relaxation technique.•Hierarchical matrix approximations are considered to maintain optimal complexity of the algorithm …”
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Multigrid Waveform Relaxation for Anisotropic Partial Differential Equations
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer Nature B.V 01.12.2002Veröffentlicht in Numerical algorithms (01.12.2002)“… Multigrid waveform relaxation provides fast iterative methods for the solution of time-dependent partial differential equations …”
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A multigrid Waveform Relaxation Method for solving the Pennes bioheat equation
ISSN: 1040-7782, 1521-0634Veröffentlicht: Philadelphia Taylor & Francis 03.05.2023Veröffentlicht in Numerical heat transfer. Part A, Applications (03.05.2023)“… This work proposes a multigrid Waveform Relaxation Method (WRMG) that uses the finite difference method for the discretization to solve Pennes' bioheat equation …”
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A parallelizable method for two-dimensional wave propagation using subdomains in time with Multigrid and Waveform Relaxation
ISSN: 1807-8664, 1806-2563, 1806-2563Veröffentlicht: Maringa Universidade Estadual de Maringa 01.01.2025Veröffentlicht in Acta scientiarum. Technology (01.01.2025)“… The parallelization of the algorithms is ensured by employing the Waveform Relaxation method, where numerical stability is achieved by applying the method of subdomains in time …”
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Numerical Analysis of a Time-Simultaneous Multigrid Solver for Stabilized Convection-Dominated Transport Problems in 1D
ISSN: 2754-6292, 2754-6292Veröffentlicht: 25.07.2024Veröffentlicht in AI, Computer Science and Robotics Technology (25.07.2024)“… This work focuses on the solution of the convection–diffusion equation, especially for small diffusion coefficients, employing a time-simultaneous multigrid algorithm, which is closely related to multigrid waveform relaxation …”
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Applications of time parallelization
ISSN: 1432-9360, 1433-0369Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020Veröffentlicht in Computing and visualization in science (01.12.2020)“… (multigrid, waveform, multiple shooting, domain decomposition) to direct time-parallel methods …”
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Multigrid waveform relaxation for the time-fractional heat equation
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 24.08.2017Veröffentlicht in arXiv.org (24.08.2017)“… We develop a parallel-in-time multigrid algorithm based on the waveform relaxation approach, whose application to time-fractional problems seems very natural due to the fact that the fractional …”
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Time parallelization for hyperbolic and parabolic problems
ISSN: 0962-4929, 1474-0508Veröffentlicht: Cambridge, UK Cambridge University Press 01.07.2025Veröffentlicht in Acta numerica (01.07.2025)“… Time parallelization, also known as PinT (parallel-in-time), is a new research direction for the development of algorithms used for solving very large-scale evolution problems on highly parallel computing architectures …”
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Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Continuous-Time Case
ISSN: 0036-1429, 1095-7170Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.1996Veröffentlicht in SIAM journal on numerical analysis (01.04.1996)“… 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 …”
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Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 07.05.2020Veröffentlicht in arXiv.org (07.05.2020)“… We propose an efficient space-time multigrid method based on the waveform relaxation technique, which accounts for the nonlocal character of the fractional differential operator …”
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An Algorithm with Polylog Parallel Complexity for Solving Parabolic Partial Differential Equations
ISSN: 1064-8275, 1095-7197Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.05.1995Veröffentlicht in SIAM journal on scientific computing (01.05.1995)“… 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 …”
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On the Multigrid Waveform Relaxation Method
ISSN: 1064-8275, 1095-7197Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.09.1995Veröffentlicht in SIAM journal on scientific computing (01.09.1995)“… The multigrid waveform relaxation method is an efficient method for solving certain classes of time-dependent partial differential equations (PDEs …”
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Timestep Acceleration of Waveform Relaxation
ISSN: 0036-1429, 1095-7170Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 01.02.1998Veröffentlicht in SIAM journal on numerical analysis (01.02.1998)“… It is shown that the discretized Picard-Lindelof (waveform relaxation) iteration can be accelerated by solving the defect equations with a larger timestep, or by using a recursive procedure based on a succession of increasing timesteps …”
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Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations
ISSN: 1422-6928, 1422-6952Veröffentlicht: Cham Springer International Publishing 01.05.2024Veröffentlicht in Journal of mathematical fluid mechanics (01.05.2024)“… This work is focused on an accelerated global-in-time solution strategy for the Oseen equations, which highly exploits the augmented Lagrangian methodology to …”
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An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
ISSN: 0168-9274, 1873-5460Veröffentlicht: Amsterdam Elsevier B.V 01.03.2005Veröffentlicht in Applied numerical mathematics (01.03.2005)“… In this paper, we treat directly the time dependent problem and we study a Schwarz waveform relaxation algorithm for the convection diffusion equation in two dimensions …”
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SCHWARZ WAVEFORM RELAXATION ALGORITHMS FOR THE LINEAR VISCOUS EQUATORIAL SHALLOW WATER EQUATIONS
ISSN: 1064-8275Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 2010Veröffentlicht in SIAM journal on scientific computing (2010)Volltext
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A heterogeneous space-time full approximation storage multilevel method for molecular dynamics simulations
ISSN: 0029-5981, 1097-0207Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 15.01.2008Veröffentlicht in International journal for numerical methods in engineering (15.01.2008)“… The method consists of a waveform Newton smoothing that produces initial space–time iterates and a coarse model correction …”
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Thermal sensitivity analysis of on-chip interconnects
ISSN: 0013-5194, 1350-911X, 1350-911XVeröffentlicht: Stevenage The Institution of Engineering and Technology 22.05.2014Veröffentlicht in Electronics letters (22.05.2014)“… The waveform relaxation algorithm with transverse partitioning is employed for efficient sensitivity analysis of coupled interconnects …”
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OPTIMIZED SCHWARZ WAVEFORM RELAXATION FOR THE PRIMITIVE EQUATIONS OF THE OCEAN
ISSN: 1064-8275Veröffentlicht: Philadelphia, PA Society for Industrial and Applied Mathematics 2011Veröffentlicht in SIAM journal on scientific computing (2011)Volltext
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