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Diagonalization based Parallel-in-Time method for a class of fourth order time dependent PDEs.
- Source :
-
Mathematics & Computers in Simulation . Jan2024, Vol. 215, p21-42. 22p. - Publication Year :
- 2024
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03784754
- Volume :
- 215
- Database :
- Academic Search Index
- Journal :
- Mathematics & Computers in Simulation
- Publication Type :
- Periodical
- Accession number :
- 172307878
- Full Text :
- https://doi.org/10.1016/j.matcom.2023.07.028