Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
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Publication:512301
DOI10.1016/j.apnum.2017.01.006zbMath1361.92046arXiv1603.05722OpenAlexW2963684042MaRDI QIDQ512301
Huanhuan Yang, Alessandro Veneziani
Publication date: 24 February 2017
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.05722
Biomedical imaging and signal processing (92C55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
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Cites Work
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- A sensitivity study of conductivity values in the passive bidomain equation
- Identification of weakly coupled multiphysics problems. application to the inverse problem of electrocardiography
- Optimal monodomain approximations of the bidomain equations
- A model-based block-triangular preconditioner for the bidomain system in electrocardiology
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Certified reduced basis approximation for parametrized partial differential equations and applications
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- A posteriorierror estimation for semilinear parabolic optimal control problems with application to model reduction by POD
- A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
- Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization
- A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code
- REDUCED BASIS APPROXIMATION ANDA POSTERIORIERROR ESTIMATION FOR THE PARAMETRIZED UNSTEADY BOUSSINESQ EQUATIONS
- Estimation of cardiac conductivities in ventricular tissue by a variational approach
- A ‘best points’ interpolation method for efficient approximation of parametrized functions
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
- Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems
- A PARALLEL SOLVER FOR REACTION–DIFFUSION SYSTEMS IN COMPUTATIONAL ELECTROCARDIOLOGY
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