The Experts below are selected from a list of 279 Experts worldwide ranked by ideXlab platform
Martin J Gander - One of the best experts on this subject based on the ideXlab platform.
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A Continuous Analysis of Neumann--Neumann Methods: Scalability and New Coarse Spaces
SIAM Journal on Scientific Computing, 2020Co-Authors: Faycal Chaouqui, Martin J Gander, Kévin Santugini-repiquetAbstract:We present a new coarse space correction for the iterative Neumann--Neumann method. We describe the method for general elliptic partial differential equations and perform the Analysis for the case ...
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Continuous Analysis of the additive Schwarz method: A stable decomposition in H1 with explicit constants
ESAIM: Mathematical Modelling and Numerical Analysis, 2015Co-Authors: Martin J Gander, Laurence Halpern, Kévin SantuginiAbstract:The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, the ratio between the average diameter of the subdomains and the overlap width, and on the shape regularity of the domain decomposition. The Schwarz method was however defined at the Continuous level, and similarly, the additive Schwarz preconditioner can also be defined at the Continuous level. We present in this paper a Continuous Analysis of the additive Schwarz preconditioned operator with coarse grid in two dimensions. We show that the classical condition number estimate also holds for the Continuous formulation, and as in the discrete case, the result is based on a stable decomposition, but now of the Sobolev space H 1 . The advantage of such a Continuous result is that it is independent of the type of fine grid discretization, and thus does the more natural Continuous formulation of the Schwarz method justice. The upper bound we provide for the classical condition number is also explicit, which gives us the quantitative dependence of the upper bound on the shape regularity of the domain decomposition.
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Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in $H^1$
2011Co-Authors: Martin J Gander, Laurence Halpern, Kévin Santugini-repiquetAbstract:The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, the ratio between the average diameter of the subdomains and the overlap width, and on the shape regularity of the domain decomposition. The classical Schwarz method was however defined at the Continuous level, and similarly, the additive Schwarz preconditioner can also be defined at the Continuous level. We present in this paper a Continuous Analysis of the additive Schwarz preconditioned operator with coarse grid in two dimensions. We show that the classical condition number estimate also holds for the Continuous formulation, and as in the discrete case, the result is based on a stable decomposition, but now of the Sobolev space H1 . The advantage of such a Continuous result is that it is independent of the type of fine grid discretization, and thus does the more natural Continuous formulation of the Schwarz method justice. The upper bound we provide for the classical condition number is also explicit, which gives us the quantitative dependance of the upper bound on the shape regularity of the domain decomposition.
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Continuous Analysis of the Additive Schwarz Method: a Stable Decomposition in $H^1$ with Explicit Dependence of the Constants on the Shape Regularity of the Decomposition
2011Co-Authors: Martin J Gander, Laurence Halpern, Kévin Santugini-repiquetAbstract:The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, the ratio between the average diameter of the subdomains and the overlap width, and on the shape regularity of the domain decomposition. The classical Schwarz method was however defined at the Continuous level, and similarly, the additive Schwarz preconditioner can also be defined at the Continuous level. We present in this paper a Continuous Analysis of the additive Schwarz preconditioned operator with coarse grid in two dimensions. We show that the classical condition number estimate also holds for the Continuous formulation, and as in the discrete case, the result is based on a stable decomposition, but now of the Sobolev space H1 . The advantage of such a Continuous result is that it is independent of the type of fine grid discretization, and thus does the more natural Continuous formulation of the Schwarz method justice. The upper bound we provide for the classical condition number is also explicit, which gives us the quantitative dependance of the upper bound on the shape regularity of the domain decomposition.
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Continuous Analysis of the additive schwarz method a stable decomposition in h 1 with explicit dependence of the constants on the shape regularity of the decomposition
2011Co-Authors: Martin J Gander, Laurence Halpern, Kevin SantuginirepiquetAbstract:The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, the ratio between the average diameter of the subdomains and the overlap width, and on the shape regularity of the domain decomposition. The classical Schwarz method was however defined at the Continuous level, and similarly, the additive Schwarz preconditioner can also be defined at the Continuous level. We present in this paper a Continuous Analysis of the additive Schwarz preconditioned operator with coarse grid in two dimensions. We show that the classical condition number estimate also holds for the Continuous formulation, and as in the discrete case, the result is based on a stable decomposition, but now of the Sobolev space H1 . The advantage of such a Continuous result is that it is independent of the type of fine grid discretization, and thus does the more natural Continuous formulation of the Schwarz method justice. The upper bound we provide for the classical condition number is also explicit, which gives us the quantitative dependance of the upper bound on the shape regularity of the domain decomposition.
Arkady A. Karyakin - One of the best experts on this subject based on the ideXlab platform.
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Wearable non-invasive monitors of diabetes and hypoxia through Continuous Analysis of sweat
Talanta, 2020Co-Authors: E. V. Karpova, Elena E. Karyakina, Arkady A. KaryakinAbstract:We present here wearable devices for Continuous monitoring of diabetes and hypoxia based on Continuous Analysis of sweat. To induce sweating the clinically relevant procedure (pilocarpine electrophoresis) is used. Being a sufficient requirement for diagnostics, positive correlations in variation rates between glucose and lactate concentrations in sweat and the corresponding values in blood are shown. Continuous monitoring of human condition is possible only with the use of flow-through wearable devices providing a delivery of sweat to the biosensor almost immediately after secretion. Evaluating blood glucose through Continuous sweat Analysis upon glucose tolerance test, we clearly show that diabetics can actually be monitored reliably via non-invasive approach.
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Noninvasive Diabetes Monitoring through Continuous Analysis of Sweat Using Flow-Through Glucose Biosensor
Analytical chemistry, 2019Co-Authors: E. V. Karpova, Elena E. Karyakina, Elizaveta V Shcherbacheva, Andrei A. Galushin, Darya V. Vokhmyanina, Arkady A. KaryakinAbstract:We propose monitoring of diabetes through Continuous Analysis of undiluted sweat immediately after its excretion using a flow-through glucose biosensor. The used biosensors are based on Prussian Blue and glucose oxidase immobilized in perfluorosulfonated ionomer or gel of alkoxysilane; the resulting sensitivity with the latter reaches in batch mode 0.23 A M–1 cm–2, and the calibration range is from 1 μM to 1 mM (flow-through mode). On the basis of the glucose tolerance test known to be a clinically relevant procedure to mimic hyperglycemia, a positive correlation between the rates of glucose concentration increase in blood and in noninvasively collected sweat has been observed (r = 0.75). The observed correlation between sweat and blood considering low-molecular weight metabolites is even better than that observed previously between capillary and vein blood, confirming diagnostic value of sweat for diabetes monitoring. The dynamics of sweat glucose concentration, recorded by means of the proposed biosenso...
Kévin Santugini - One of the best experts on this subject based on the ideXlab platform.
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Continuous Analysis of the additive Schwarz method: A stable decomposition in H1 with explicit constants
ESAIM: Mathematical Modelling and Numerical Analysis, 2015Co-Authors: Martin J Gander, Laurence Halpern, Kévin SantuginiAbstract:The classical convergence result for the additive Schwarz preconditioner with coarse grid is based on a stable decomposition. The result holds for discrete versions of the Schwarz preconditioner, and states that the preconditioned operator has a uniformly bounded condition number that depends only on the number of colors of the domain decomposition, the ratio between the average diameter of the subdomains and the overlap width, and on the shape regularity of the domain decomposition. The Schwarz method was however defined at the Continuous level, and similarly, the additive Schwarz preconditioner can also be defined at the Continuous level. We present in this paper a Continuous Analysis of the additive Schwarz preconditioned operator with coarse grid in two dimensions. We show that the classical condition number estimate also holds for the Continuous formulation, and as in the discrete case, the result is based on a stable decomposition, but now of the Sobolev space H 1 . The advantage of such a Continuous result is that it is independent of the type of fine grid discretization, and thus does the more natural Continuous formulation of the Schwarz method justice. The upper bound we provide for the classical condition number is also explicit, which gives us the quantitative dependence of the upper bound on the shape regularity of the domain decomposition.
José Morera - One of the best experts on this subject based on the ideXlab platform.
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Continuous Analysis and monitoring of snores and their relationship to the apnea hypopnea index
Laryngoscope, 2010Co-Authors: José Antonio Fiz, Raimon Jane, Jorge Abad, Jordi Solasoler, Angeles M Garcia, José MoreraAbstract:Objectives/Hypothesis: We used a new automatic snoring detection and Analysis system to monitor snoring during full-night polysomnography to assess whether the acoustic characteristics of snores differ in relation to the apnea-hypopnea index (AHI) and to classify subjects according to their AHI. Study Design: Individual Case-Control Study. Methods: Thirty-seven snorers (12 females and 25 males; ages 40–65 years; body mass index (BMI), 29.65 ± 4.7 kg/m2) participated. Subjects were divided into three groups: G1 (AHI <5), G2 (AHI ≥5, <15) and G3 (AHI ≥15). Snore and breathing sounds were recorded with a tracheal microphone throughout 6 hours of nighttime polysomnography. The snoring episodes identified were automatically and Continuously analyzed with a previously trained 2-layer feed-forward neural network. Snore number, average intensity, and power spectral density parameters were computed for every subject and compared among AHI groups. Subjects were classified using different AHI thresholds by means of a logistic regression model. Results: There were significant differences in supine position between G1 and G3 in sound intensity; number of snores; standard deviation of the spectrum; power ratio in bands 0–500, 100–500, and 0–800 Hz; and the symmetry coefficient (P < .03). Patients were classified with thresholds AHI = 5 and AHI = 15 with a sensitivity (specificity) of 87% (71%) and 80% (90%), respectively. Conclusions: A new system for automatic monitoring and Analysis of snores during the night is presented. Sound intensity and several snore frequency parameters allow differentiation of snorers according to obstructive sleep apnea syndrome severity (OSAS). Automatic snore intensity and frequency monitoring and Analysis could be a promising tool for screening OSAS patients, significantly improving the managing of this pathology. Laryngoscope, 2010
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Continuous Analysis and monitoring of snores and their relationship to the apnea‐hypopnea index
The Laryngoscope, 2010Co-Authors: José Antonio Fiz, Raimon Jane, Jordi Sola-soler, Jorge Abad, M Angeles García, José MoreraAbstract:Objectives/Hypothesis: We used a new automatic snoring detection and Analysis system to monitor snoring during full-night polysomnography to assess whether the acoustic characteristics of snores differ in relation to the apnea-hypopnea index (AHI) and to classify subjects according to their AHI. Study Design: Individual Case-Control Study. Methods: Thirty-seven snorers (12 females and 25 males; ages 40–65 years; body mass index (BMI), 29.65 ± 4.7 kg/m2) participated. Subjects were divided into three groups: G1 (AHI
E. V. Karpova - One of the best experts on this subject based on the ideXlab platform.
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Wearable non-invasive monitors of diabetes and hypoxia through Continuous Analysis of sweat
Talanta, 2020Co-Authors: E. V. Karpova, Elena E. Karyakina, Arkady A. KaryakinAbstract:We present here wearable devices for Continuous monitoring of diabetes and hypoxia based on Continuous Analysis of sweat. To induce sweating the clinically relevant procedure (pilocarpine electrophoresis) is used. Being a sufficient requirement for diagnostics, positive correlations in variation rates between glucose and lactate concentrations in sweat and the corresponding values in blood are shown. Continuous monitoring of human condition is possible only with the use of flow-through wearable devices providing a delivery of sweat to the biosensor almost immediately after secretion. Evaluating blood glucose through Continuous sweat Analysis upon glucose tolerance test, we clearly show that diabetics can actually be monitored reliably via non-invasive approach.
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Noninvasive Diabetes Monitoring through Continuous Analysis of Sweat Using Flow-Through Glucose Biosensor
Analytical chemistry, 2019Co-Authors: E. V. Karpova, Elena E. Karyakina, Elizaveta V Shcherbacheva, Andrei A. Galushin, Darya V. Vokhmyanina, Arkady A. KaryakinAbstract:We propose monitoring of diabetes through Continuous Analysis of undiluted sweat immediately after its excretion using a flow-through glucose biosensor. The used biosensors are based on Prussian Blue and glucose oxidase immobilized in perfluorosulfonated ionomer or gel of alkoxysilane; the resulting sensitivity with the latter reaches in batch mode 0.23 A M–1 cm–2, and the calibration range is from 1 μM to 1 mM (flow-through mode). On the basis of the glucose tolerance test known to be a clinically relevant procedure to mimic hyperglycemia, a positive correlation between the rates of glucose concentration increase in blood and in noninvasively collected sweat has been observed (r = 0.75). The observed correlation between sweat and blood considering low-molecular weight metabolites is even better than that observed previously between capillary and vein blood, confirming diagnostic value of sweat for diabetes monitoring. The dynamics of sweat glucose concentration, recorded by means of the proposed biosenso...