Space-time multilevel Monte Carlo methods and their application to cardiac electrophysiology
DOI10.1016/j.jcp.2021.110164OpenAlexW3127063987MaRDI QIDQ2120754
Pietro Benedusi, S. Ben Bader, A. Quaglino, Rolf H. Krause, Patrick Zulian
Publication date: 1 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110164
multilevel methodsuncertainty quantificationmonodomain equationcardiac electrophysiologyspace-time finite elements (3D+1)
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Probabilistic methods, stochastic differential equations (65Cxx)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Error estimates for parabolic optimal control problems with control and state constraints
- Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
- On the low-rank approximation by the pivoted Cholesky decomposition
- Gradient flows and variational principles for cardiac electrophysiology: toward efficient and robust numerical simulations of the electrical activity of the heart
- Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
- Identification of weakly coupled multiphysics problems. application to the inverse problem of electrocardiography
- Spreading of excitation in 3-D models of the anisotropic cardiac tissues. I: Validation of the eikonal model
- High-dimensional and higher-order multifidelity Monte Carlo estimators
- 50 Years of Time Parallel Time Integration
- Optimal Model Management for Multifidelity Monte Carlo Estimation
- Multilevel Monte Carlo Methods
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- A Finite Element Method for an Eikonal Equation Model of Myocardial Excitation Wavefront Propagation
- Accurate Uncertainty Quantification Using Inaccurate Computational Models
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact
- A Simple Proposal for Parallel Computation Over Time of an Evolutionary Process with Implicit Time Stepping
- A comparison of computational methods for large deformation contact problems of flexible bodies
- Efficient approximation of random fields for numerical applications
- Continuous Finite Elements in Space and Time for the Heat Equation
- Analysis of a Robust Finite Element Approximation for a Parabolic Equation with Rough Boundary Data
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
- Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
- Space-Time FE-DG Discretization of the Anisotropic Diffusion Equation in Any Dimension: The Spectral Symbol
- Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods
- Parallel methods for integrating ordinary differential equations
- Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods
- A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes
