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math.OC2023
Solution of the Optimal Control Problem for the Cahn-Hilliard Equation Using Finite Difference Approximation
Gobinda Garai, Bankim C. Mandal
This paper is concerned with the designing, analyzing and implementing linear and nonlinear discretization scheme for the distributed optimal control problem (OCP) with the Cahn-Hi…
math.NA2023
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…
math.NA2023
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…