Search Results - multigrid waveform relaxation algorithm

A multigrid waveform relaxation method for solving the poroelasticity equations by Franco, S. R., Rodrigo, C., Gaspar, F. J., Pinto, M. A. V.

“… 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 by Hu, Xiaozhe, Rodrigo, Carmen, Gaspar, Francisco J.

“…•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 by van Lent, Jan, Vandewalle, Stefan

“…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 by Santiago, Cosmo D., Ströher, Gylles R., Pinto, Marcio A. V., Franco, Sebastião R.

“…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 by Malacarne, Maicon Felipe, Pinto, Márcio Augusto Villela, Franco, Sebastião Romero

“… 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 by Drews, Wiebke, Turek, Stefan, Lohmann, Christoph

“…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 by Ong, Benjamin W., Schroder, Jacob B.

“… (multigrid, waveform, multiple shooting, domain decomposition) to direct time-parallel methods…”
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Multigrid waveform relaxation for the time-fractional heat equation by Gaspar, Francisco J, Rodrigo, Carmen

“… 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 by Gander, Martin J., Wu, Shu-Lin, Zhou, Tao

“…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 by Janssen, Jan, Vandewalle, Stefan

“…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 by Hu, Xiaozhe, Rodrigo, Carmen, Gaspar, Francisco J

“… 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 by Horton, G., Vandewalle, S., Worley, P.

“… 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 by Ta’asan, Shlomo, Zhang, Hong

“…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 by Leimkuhler, B.

“… 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 by Lohmann, Christoph, Turek, Stefan

“…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 by Martin, Véronique

“… 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 by MARTIN, Véronique

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A heterogeneous space-time full approximation storage multilevel method for molecular dynamics simulations by Waisman, Haim, Fish, Jacob

“… 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 by Fu, Guang-Cao, Tang, Min, Lu, Jia-Qing, Mao, Jun-Fa

“… 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 by AUDUSSE, E, DREYFUSS, P, MERLET, B

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