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Stabilized hybrid discontinuous Galerkin finite element method for the cardiac monodomain equation.
Rocha, Bernardo Martins; Dos Santos, Rodrigo Weber; Igreja, Iury; Loula, Abimael F D.
Afiliação
  • Rocha BM; Computer Science Department and Computational Modeling Graduate Program, Federal University of Juiz de Fora, Juiz de Fora, Brazil.
  • Dos Santos RW; Computer Science Department and Computational Modeling Graduate Program, Federal University of Juiz de Fora, Juiz de Fora, Brazil.
  • Igreja I; Computer Science Department and Computational Modeling Graduate Program, Federal University of Juiz de Fora, Juiz de Fora, Brazil.
  • Loula AFD; National Laboratory of Scientific Computing, Petrópolis, Brazil.
Int J Numer Method Biomed Eng ; 36(7): e3341, 2020 07.
Article em En | MEDLINE | ID: mdl-32293783
Numerical methods for solving the cardiac electrophysiology model, which describes the electrical activity in the heart, are proposed. The model problem consists of a nonlinear reaction-diffusion partial differential equation coupled to systems of ordinary differential equations that describes electrochemical reactions in cardiac cells. The proposed methods combine an operator splitting technique for the reaction-diffusion equation with primal hybrid methods for spatial discretization considering continuous or discontinuous approximations for the Lagrange multiplier. A static condensation is adopted to form a reduced global system in terms of the multiplier only. Convergence studies exhibit optimal rates of convergence and numerical experiments show that the proposed schemes can be more efficient than standard numerical techniques commonly used in this context when preconditioned iterative methods are used for the solution of linear systems.
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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Análise de Elementos Finitos / Eletrofisiologia Cardíaca / Coração Idioma: En Revista: Int J Numer Method Biomed Eng Ano de publicação: 2020 Tipo de documento: Article País de afiliação: Brasil País de publicação: Reino Unido
Texto completo
Adicionar na Minha BVS
Imprimir
XML
PubMed Links
Buscar no Google

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Assunto principal: Análise de Elementos Finitos / Eletrofisiologia Cardíaca / Coração Idioma: En Revista: Int J Numer Method Biomed Eng Ano de publicação: 2020 Tipo de documento: Article País de afiliação: Brasil País de publicação: Reino Unido