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We propose and analyze sparse deterministic-stochastic tensor Galerkin finite element methods (sparse sGFEMs) for the numerical solution of elliptic partial differential equations (PDEs) with random coefficients in a bounded physical domain D ⊂ R d. The sparse sGFEMs are based on a separation of stochastic and deterministic input variables by Karhunen-Lò… (More)
In study with participation of 53 healthy men volunteers and infra-red thermograph application we obtained data confirming thermal portrait (i.e. skin temperature distribution in muscle rest conditions with minimal thermoregulatory activation) interrelations with maximal aerobic capacity (r = +0.6) and lactate level after critical muscle load (r = -0.7).… (More)
We formulate collocation Runge–Kutta time-stepping schemes applied to linear parabolic evolution equations as space-time Petrov–Galerkin discretizations, and investigate their a priori stability for the parabolic space-time norms, that is the continuity constant of the discrete solution mapping. We focus on collocation based on A-stable Gauss–Legendre and… (More)
In a study on 53 healthy male volunteers with the use of an infrared thermograph, data that the thermal portrait, i.e., skin temperature distribution, under the conditions of muscular rest and minimal chemical thermoregulation activation is related to the maximal aerobic capacity (r = + 0.6) and the lactate level after critical muscle load (r = −0.7) were… (More)
An attempt was made to test the hypothesis that regular physical activity at the anaerobic threshold can stimulate an increase in the amount of brown or beige body fat, which can manifest itself in increased lactate utilization during exercise and increased reactivity in response to acute regional cooling. The methods used in the study included the ramp… (More)
This review considers current research of different forms of non-shivering thermogenesis related to thermoregulatory and substrate homeostasis. The term “homeostatic non-shivering thermogenesis (HNST)” is proposed for explanation of facultative heat production stimulated by exposure to cold, food intake and accumulation of lactate during intensive muscle… (More)
This study is devoted to a comparative analysis of the results of cold adaptation and physical training. The adaptive shifts occurring in the body under the influence of hardening (cold shower 2 times a day 2 min long for 6 weeks) and running training on a treadmill (30 min at 70–80% of individual maximal oxygen consumption, 3 times a week, for 6 weeks) in… (More)
SUMMARY This paper addresses the solution of parabolic evolution equations simultaneously in space and time as may be of interest in e.g. optimal control problems constrained by such equations. As a model problem we consider the heat equation posed on the unit cube in Euclidean space of moderately high dimension. An a priori stable minimal residual… (More)
An algorithm for a stable parallelizable space-time Petrov-Galerkin discretization for linear parabolic evolution equations is given. Emphasis is on the reusability of spatial finite element codes.
We construct space-time Petrov–Galerkin discretizations of the heat equation on an unbounded temporal interval, either right-unbounded or left-unbounded. The discrete trial and test spaces are defined using Laguerre polynomials in time and are shown to satisfy the discrete inf-sup condition. Numerical examples are provided.