Diagonalization based Parallel-in-Time method for a class of fourth order time dependent PDEs

被引：0

作者：

Garai, Gobinda ^{[1
]}

Mandal, Bankim C. ^{[1
]}

机构：

[1] IIT Bhubaneswar, Sch Basic Sci, Bhubaneswar, India

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 2024年 / 215卷

关键词：

Parallel-in-Time (PinT); Diagonalization technique; Parallel computing; Convergence analysis; Fourth-order PDEs; Cahn-Hilliard equation; CAHN-HILLIARD EQUATION; MODEL; SCHEME;

D O I：

10.1016/j.matcom.2023.07.028

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.(c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

引用

页码：21 / 42

页数：22

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