Parallel FETI-DP algorithm for efficient simulation of large-scale EM problems

Kedi Zhang, Jian Ming Jin

Research output: Contribution to journalArticlepeer-review

Abstract

An efficient parallelization of the dual-primal finite-element tearing and interconnecting (FETI-DP) algorithm is presented for large-scale electromagnetic simulations. As a nonoverlapping domain decomposition method, the FETI-DP algorithm formulates a global interface problem, whose iterative solution is accelerated with a solution of a global corner problem. To achieve a good load balance for parallel computation, the original computational domain is decomposed into subdomains with similar sizes and shapes. The subdomains are then distributed to processors based on their close proximity to minimize inter-processor communication. The parallel generalized minimal residual method, enhanced with the iterative classical Gram-Schmidt orthogonalization scheme to reduce global communication, is adopted to solve the global interface problem with a fast convergence rate. The global corner-related coarse problem is solved iteratively with a parallel communication-avoiding biconjugate gradient stabilized method to minimize global communication, and its convergence is accelerated by a diagonal preconditioner constructed from the coarse system matrix. To alleviate neighboring communication overhead, the non-blocking communication approach is employed in both generalized minimal residual and communication-avoiding biconjugate gradient stabilized iterative solutions. Three numerical examples are presented to demonstrate the accuracy, scalability, and capability of the proposed parallel FETI-DP algorithm for electromagnetic modeling of general objects and antenna arrays.

Original languageEnglish (US)
Pages (from-to)897-914
Number of pages18
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume29
Issue number5
DOIs
StatePublished - Sep 1 2016

Keywords

  • domain decomposition method (DDM)
  • dual-primal finite-element tearing and interconnecting (FETI-DP)
  • electromagnetic radiation and scattering
  • parallel computation

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Parallel FETI-DP algorithm for efficient simulation of large-scale EM problems'. Together they form a unique fingerprint.

Cite this