Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 11, Number 2, 2016
Spectral problems
|
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Page(s) | 1 - 19 | |
DOI | https://doi.org/10.1051/mmnp/201611201 | |
Published online | 21 March 2016 |
- R. Aboulaich, A. B. Abda, M. Kallel. Missing boundary data reconstruction via an approximate optimal control. Inverse Problems and Imaging, 2 (4) (2008), 411–426. [Google Scholar]
- S. Andrieux, T.N. Baranger, A.B. Abda. Solving cauchy problems by minimizing an energy-like functional. Inverse problems, 22 (1) (2006), 115–133. [CrossRef] [Google Scholar]
- I. Babuska, R. Tempone, G.E. Zouraris. Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation. Comput. Methods Appl. Mech. Engrg, 194 (2005), 1251–1294. [CrossRef] [MathSciNet] [Google Scholar]
- I. Babuska, R. Tempone, G.E. Zouraris. Galerkin finite element approximations of stochastic elliptic partial differential equations. SIAM Journal on Numerical Analysis, 42 (2) (2005), 800–825. [Google Scholar]
- G. Blatman, B. Sudret. An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis. Probabilistic Engineering Mechanics, (2010), 183–197. [Google Scholar]
- M. Boulakia, S. Cazeau, M.A. Fernández, J.F. Gerbeau, N. Zemzemi. Mathematical modeling of electrocardiograms: a numerical study. Annals of biomedical engineering, 38 (3) (2010), 1071–1097. [Google Scholar]
- P. Chen, A. Quarteroni, G. Rozza. Stochastic optimal robin boundary control problems of advection-dominated elliptic equations. SIAM Journal on Numerical Analysis, 51 (6) (2013), 3163–3185. [CrossRef] [Google Scholar]
- O. Doessel, Y. Jiang, W.H. Schulze. Localization of the origin of premature beats using anintegral method. International Journal of Bioelectromagnetism, 13 (2011), 178–183. [Google Scholar]
- F.A. Duck. Physical Properties of Tissue: A Comprehensive Reference Book. London, England: Academic, Harcourt Brace Jovanovich, 1990. [Google Scholar]
- M. Eiermann, O.G. Ernst, E. Ullmann. Computational aspects of the stochastic finite element method. 10 (1) (2007), 3–15. [Google Scholar]
- T.J.C. Faes, D.M.H. Van, D.J.C. Munck, R.M. Heethaar. The electric resistivity of human tissues (100 hz-10 mhz): a meta-analysis of review studies. Physiological measurement, 20 (4) (1999), 1–11. [CrossRef] [PubMed] [Google Scholar]
- M.A. Fernández, N. Zemzemi. Decoupled time-marching schemes in computational cardiac electrophysiology and ecg numerical simulation. Mathematical biosciences, 226 (1) (2010), 58–75. [CrossRef] [MathSciNet] [PubMed] [Google Scholar]
- K.R. Foster, H.P. Schwan. Dielectric properties of tissues and biological materials: a critical review. Critical reviews in biomedical engineering, 17 (1) (1988), 25–104. [Google Scholar]
- S. Gabriel, R. Lau, C. Gabriel. The dielectric properties of biological tissues: Ii. measurements in the frequency range 10 hz to 20 ghz. Physics in medicine and biology, 41 (11) (1996), 22–51 . [Google Scholar]
- S.E. Geneser, R.M. Kirby, R.S. MacLeod. Application of stochastic finite element methods to study the sensitivity of ecg forward modeling to organ conductivity. Biomedical Engineering, IEEE Transactions on, 55 (1) (2008), 31–40. [CrossRef] [Google Scholar]
- R. Ghanem, P. Spanos. Stochastic Finite Elements:a Spectral Approach. Springer–Verlag, 1991. [Google Scholar]
- S. Ghosh, Y. Rudy. Application of l1-norm regularization to epicardial potential solution of the inverse electrocardiography problem. Annals of Biomedical Engineering, 37 (5) (2009), 902–912. [CrossRef] [PubMed] [Google Scholar]
- J. Hadamard. Lectures on Cauchy’s problem in linear partial differential equations. Yale University Press, New Haven, 1923. [Google Scholar]
- P.C. Hansen, D.P. O'Leary. The use of the l-curve in the regularization of discrete ill-posed problems. SIAM Journal on Scientific Computing, 14 (6) (1993), 1487–1503. [Google Scholar]
- L. S Hou, J. Lee, H. Manouzi. Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic pde. Journal of Mathematical Analysis and Applications, 384 (1) (2011), 87–103. [CrossRef] [Google Scholar]
- O.P. Le Maître, M.T. Reagan, H.N. Najm, R.G. Ghanem, O.M. Knio. A stochastic projection method for fluid flow: Ii. random process. Journal of computational Physics, 181 (1) (2002), 9–44. [CrossRef] [Google Scholar]
- V.A. Oosterom, G.J. Huiskamp. The effect of torso inhomogeneities on body surface potentials quantified using "‘tailored"’ geometry. Journal of electrocardiology, 22 (1) (1989), 53–72. [CrossRef] [PubMed] [Google Scholar]
- A. Rouatbi. Complétion de données via des méthodes de type controle. Master’s thesis, LAMSIN, E.N.I.T. Tunis, 2009. [Google Scholar]
- A.J. Shah, H.S Lim, S. Yamashita, S. Zellerhoff, B. Berte, S. Mahida, D. Hooks, N. Aljefairi, N. Derval, A. Denis, and al. Non invasive ecg mapping to guide catheter ablation. JAFIB: Journal of Atrial Fibrillation, 7(3), 2014. [Google Scholar]
- F.M. Weber, D.U. Keller, S. Bauer, G. Seemann, C. Lorenz, O. Dossel. Predicting tissue conductivity influences on body surface potentialsan efficient approach based on principal component analysis. Biomedical Engineering IEEE Transactions, 58 (2) (2011), 256–273. [Google Scholar]
- S. Wiener. The homogeneous chaos. Am. J. Math. vol. 60, (1998), 897–936. [Google Scholar]
- D. Xiu, G.E. Karniadakis. The wiener–askey polynomial chaos for stochastic differential equations. Journal on Scientific Computing, 24 (2002), 619–644. [Google Scholar]
- E.V. Zakharov, A.V. Kalinin. Algorithms and numerical analysis of dc fields in a piecewise-homogeneous medium by the boundary integral equation method. Computational Mathematics and Modeling, 20 (3), (2009), 247–257. [CrossRef] [MathSciNet] [Google Scholar]
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