Parallel time integration with multigrid. SIAM Journal on Scientific Computing. 2014;36(6):C635-C661.Falgout, R. D., Friedhoff, S., Kolev, T. V., MacLachlan, S. P., and Schroder, J. B. (2014). Parallel time integration with multigrid. SIAM Journal on Scientific Computing, 36(6):...
Space–time finite elementParallel-in-timeReduction-based multigridPararealThe paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions, which is discretized by the space鈥搕ime finite element method to propagate solutions...
1.书名:Time Parallel Time Integration by Martin J. Gander (Author), Thibaut Lunet (Author),Society for Industrial and Applied Mathematics, 2024. 2.索书号: ISBN-10 : 1611978017ISBN-13 : …
Time parallel time integration methods have received renewed interest over the last decade because of the advent of massively parallel computers, which is mainly due to the clock speed limit reached on today’s processors. When solving time dependent partial differential equations, the time direction ...
To extend prevailing scaling limits when solving time-dependent partial differential equations, the parallel full approximation scheme in space and time (PFASST) has been shown to be a promising parallel-in-time integrator. Similar to space鈥搕ime multigrid, PFASST is able to compute multiple time...
multigridparallel-in-timePFASSTsmoothing and approximation propertyFor time-dependent partial differential equations, parallel-in-timeintegration using the "parallel full approximation scheme in space and time"(PFASST) is a promising way to accelerate existing space-parallel approachesbeyond their scaling ...
. However, current trends in computer architectures are leading towards systems with more, but not faster, processors, i.e., clock speeds are stagnate. Therefore, faster overall runtimes must come from greater parallelism. Our approach to achieve such parallelism in time is with multigrid....
The realization in M++ together with multigrid preconditioning is discussed in [13] and the application of a space–time discretization for acoustic waves is presented in [14]. Space–time discontinuous Galerkin elements. A discontinuous Galerkin method in space and time in [Math Processing Error]...
discussed, along with its integration with a fast multilevel solution algorithm. Sections 4 and 5 consider the application of these techniques to parallel/distributed computer architectures, and the paper concludes with a brief discussion. * URL: http://p.leeds.ac.uk/pkj ...
Ying, W.J., Rose, D.J., Henriquez, C.S.: Efficient fully implicit time integration methods for modeling cardiac dynamics. IEEE Trans. Biomed. Eng. 55(12), 2701–2711 (2008) Google Scholar Young, R.J., Panfilov, A.: Anisotropy of wave propagation in the heart can be modeled by ...