Parallel Solution for 3D Volume Integral Equation using PETSc Library

Battu, BT and Negi, YK and Balakrishnan, N (2022) Parallel Solution for 3D Volume Integral Equation using PETSc Library. In: 2022 IEEE Microwaves, Antennas, and Propagation Conference, MAPCON 2022, 12-16 December 2022, Bangalore, pp. 1336-1340.

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Abstract

The Method of Moments (MoM) is a popular method for solving volume integral equations arising in electromagnetic scattering from a Three-Dimensional (3D) in-homogeneous body problem. The MoM results in dense matrice, which makes it difficult in the application to realistic and complex large scale problems due to the high solution time. The solution time limitation can be overcome by going for distributed system computation. In this work we use the open source package 'PETSc' library which stands for 'Portable, Extensible Toolkit for Scientific Computation'. PETSc is a suite of data structures and (iterative) solvers based on MPI to solve the matrix/linear system in parallel. The Krylov subspace method, GMRES (Generalized minimum residual) iterative scheme is used to solve the linear system of equations. In this work we show the implementation of PETSc for dense and complex valued MoM matrices. The algorithm is shown to scale well. © 2022 IEEE.

Item Type:	Conference Paper
Publication:	2022 IEEE Microwaves, Antennas, and Propagation Conference, MAPCON 2022
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Iterative methods; Linear systems; Matrix algebra; Method of moments, Electromagnetics; Generalized minimum residual; matrix; MPI; Parallel solutions; PETSc; PETSc libraries; Solution time; Tetrahedral meshes; Volume integral equation, Integral equations
Department/Centre:	Division of Interdisciplinary Sciences > Supercomputer Education & Research Centre Others
Date Deposited:	28 Mar 2023 09:52
Last Modified:	28 Mar 2023 09:52
URI:	https://eprints.iisc.ac.in/id/eprint/81209

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