6 papers · 1 filter
Nonlinear Parareal-Incomplete OSWR Method for the Coupled Reaction-Diffusion System: Convergence Analysis and Computational Strategies
Gobinda Garai, Nagaiah Chamakuri
This paper presents a development of a nonlinear extension of the Parareal-Incomplete Optimized Schwarz Waveform Relaxation (OSWR) method, aimed at efficiently simulating coupled r…
Exp-ParaDiag: Time-Parallel Exponential Integrators for Parabolic PDEs
Gobinda Garai, Nagaiah Chamakuri
This paper introduces Exp-ParaDiag, a novel time-parallel method that combines the strength of exponential integrators into the ParaDiag framework. We develop and analyze Exp-ParaD…
Linear and Nonlinear Parareal Methods for the Cahn-Hilliard Equation
Gobinda Garai, Bankim C. Mandal
In this paper, we propose, analyze and implement efficient time parallel methods for the Cahn-Hilliard (CH) equation. It is of great importance to develop efficient numerical metho…
Diagonalization Based Parallel-in-Time Method for a Class of Fourth Order Time Dependent PDEs
Gobinda Garai, Bankim C. Mandal
In this paper, we design, analyze and implement efficient time parallel method for a class of fourth order time-dependent partial differential equations (PDEs), namely biharmonic h…
Convergence of substructuring Methods for the Cahn-Hilliard Equation
Gobinda Garai, Bankim C. Mandal
In this paper, we formulate and study substructuring type algorithm for the Cahn-Hilliard (CH) equation, which was originally proposed to describe the phase separation phenomenon f…
Convergence of the Neumann-Neumann Method for the Cahn-Hilliard Equation
Gobinda Garai
In this paper, we analyze a substructuring type algorithm for the Cahn-Hilliard (CH) equation. Being a nonlinear equation, it is of great importance to develop efficient numerical…