Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method
type: Item
instance of: scholarly article
title: Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method
zbMATH Open document ID: 1440.92003
author: Stefano Pagani
author: Andrea Manzoni
author: Alfio Quarteroni
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-08T00:00:00Z
full work available at URL: http://hdl.handle.net/11311/1063996
Mathematics Subject Classification ID: 92-08
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 92C30
zbMATH DE Number: 7188296
zbMATH Keywords: cardiac electrophysiology
zbMATH Keywords: parametrized monodomain model
zbMATH Keywords: local reduced order model
zbMATH Keywords: reduced basis method
zbMATH Keywords: proper orthogonal decomposition
zbMATH Keywords: empirical interpolation method
Wikidata QID: Q56995685
describes a project that uses: redbKIT
MaRDI profile type: Publication
OpenAlex ID: W2809267379
cites work: The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
cites work: A two-current model for the dynamics of cardiac membrane
cites work: Simulating patterns of excitation, repolarization and action potential duration with cardiac bidomain and monodomain models
cites work: Computational modeling of cardiac electrophysiology: A novel finite element approach
cites work: Isogeometric approximation of cardiac electrophysiology models on surfaces: an accuracy study with application to the human left atrium
cites work: A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
cites work: Mathematical cardiac electrophysiology
cites work: Reduced Basis Methods for Partial Differential Equations
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: Nonlinear Model Reduction via Discrete Empirical Interpolation
cites work: The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
cites work: Efficient model reduction of parametrized systems by matrix discrete empirical interpolation
cites work: Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
cites work: Approximated Lax pairs for the reduced order integration of nonlinear evolution equations
cites work: Reduced order model in cardiac electrophysiology with approximated Lax pairs
cites work: Galerkin approximation with proper orthogonal decomposition: new error estimates and illustrative examples
cites work: Stability analysis of the POD reduced order method for solving the bidomain model in cardiac electrophysiology
cites work: Q4407515
cites work: Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
cites work: Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
cites work: Q3623609
cites work: Semi-Implicit Time-Discretization Schemes for the Bidomain Model
cites work: A general multipurpose interpolation procedure: The magic points
cites work: A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics
cites work: Nonlinear model order reduction based on local reduced-order bases
cites work: Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction
cites work: Localized Discrete Empirical Interpolation Method
cites work: Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations
cites work: A goal-oriented reduced-order modeling approach for nonlinear systems
cites work: A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
cites work: An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
cites work: Anhpcertified reduced basis method for parametrized parabolic partial differential equations
cites work: Parameter multi-domain `\(hp\)' empirical interpolation
cites work: Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces
cites work: The elements of statistical learning. Data mining, inference, and prediction
DOI: 10.1016/J.CMA.2018.06.003
description: scientific article; zbMATH DE number 7188296