Stochastic Finite Element Method for Torso Conductivity Uncertainties Quantification in Electrocardiography Inverse Problem

DOI10.1051/mmnp/201611201zbMath1458.65142OpenAlexW2309157198MaRDI QIDQ4607482

E. El Guarmah, Najib Fikal, Néjib Zemzemi, Rajae Aboulaich

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://www.mmnp-journal.org/10.1051/mmnp/201611201/pdf

zbMATH Keywords

stochastic processesuncertainty quantificationstochastic Galerkin methodstochastic finite elementschaos polynomialelectrocardiography forward problemelectrocardiography inverse problem

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Initial value problems for nonlinear higher-order PDEs (35G25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Mathematically heuristic optics and electromagnetic theory (must also be assigned at least one other classification number in Section 78-XX) (78A97)

Related Items (8)

An iteratively regularized stochastic gradient method for estimating a random parameter in a stochastic PDE. A variational inequality approach ⋮ Analyzing the role of the Inf-Sup condition for parameter identification in saddle point problems with application in elasticity imaging ⋮ A variational inequality based stochastic approximation for inverse problems in stochastic partial differential equations ⋮ A Nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology ⋮ Analysis of the ECGI inverse problem solution with respect to the measurement boundary size and the distribution of noise ⋮ Propagation of two independent sources of uncertainty in the electrocardiography imaging inverse solution ⋮ Stochastic dosimetry of a three compartment head model ⋮ A Convex Optimization Framework for the Inverse Problem of Identifying a Random Parameter in a Stochastic Partial Differential Equation

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