Diagonalization based Parallel-in-Time method for a class of fourth order time dependent PDEs
| dc.contributor.author | Garai G.; Mandal B.C. | en_US |
| dc.date.accessioned | 2025-02-17T11:24:27Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this paper, we design, analyze and implement efficient time parallel methods for a class of fourth order time-dependent partial differential equations (PDEs), namely the biharmonic heat equation, the linearized Cahn�Hilliard (CH) equation and the nonlinear CH equation. We use a diagonalization technique on all-at-once system to develop efficient iterative time parallel methods for investigating the solution behaviour of the said equations. We present the convergence analysis of Parallel-in-Time (PinT) algorithms. We verify our findings by presenting numerical results. � 2023 International Association for Mathematics and Computers in Simulation (IMACS) | en_US |
| dc.identifier.citation | 0 | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.matcom.2023.07.028 | |
| dc.identifier.uri | https://idr.iitbbs.ac.in/handle/2008/5543 | |
| dc.language.iso | en | en_US |
| dc.subject | Cahn�Hilliard equation; Convergence analysis; Diagonalization technique; Fourth-order PDEs; Parallel computing; Parallel-in-Time (PinT) | en_US |
| dc.title | Diagonalization based Parallel-in-Time method for a class of fourth order time dependent PDEs | en_US |
| dc.type | Article | en_US |