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June 3, 2009Mathematical Models and Methods in Applied Sciences

Decoupled Schwarz Algorithms for Implicit Discretizations of Nonlinear Monodomain and Bidomain Systems

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Authors

MMMarilena MunteanuLPLuca F. Pavarino

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Overview

Randomized trial analyzes implicit discretizations in three-dimensional cardiac models, suggesting computational advantages.

Key Points

  • This research aims to develop and analyze novel decoupled Schwarz algorithms for implicit discretizations in Monodomain and Bidomain systems.
  • Constructed decoupled Schwarz algorithms for implicit discretizations using both implicit Euler and Rosenbrock schemes.
  • Analyzed convergence rates with a domain decomposition preconditioner based on overlapping additive Schwarz techniques.
  • Performed parallel numerical experiments to evaluate performance across different models and time strategies.
  • Confirmed convergence rates with numerical results in three dimensions.
  • Showed significant CPU-time reduction with decoupled Schwarz solvers versus fully-implicit methods.

Cite This Study

Munteanu et al. (2009) studied this question.

synapsesocial.com/papers/6a6c1b3347a1bfb288f367fdhttps://doi.org/10.1142/s0218202509003723
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