massively parallel solution techniques for higher order finite element discretizations in cfd laslo t diosady and david l darmofal
Báo cáo hóa học: " Research Article Stability Analysis for Higher-Order Adjacent Derivative in Parametrized Vector Optimization" ppt
... Journal of Inequalities and Applications On the other hand, some interesting results have been proved for stability analysis in vector optimization problems In , Tanino studied some qualitative ... results concerning the behavior of the perturbation map in convex vector optimization In , Li investigated the continuity and the closedness of contingent derivative of the marginal map in multiobjective ... weight method of vector optimization problems and the method of essential solutions To the best of our knowledge, there is no paper to deal with the stability of higher- order adjacent derivative for...
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Báo cáo sinh học: " Research Article New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions" pdf
... h t x t dt h t G1 t, s y s ds dt h t tα−1 dt h t x t dt 2.12 It follows that h t x t dt 1 1− h t tα−1 dt h t G1 t, s y s ds dt 2.13 Substituting 2.13 into 2.11 , we obtain x t G1 t, s y s ds t −1 ... value problem P In Section 7, one example is also included to illustrate the main results Finally, conclusions in Section close the paper The fractional differential equations related notations ... differential equations It is worth mentioning that there are still many problems that remain open in this vital field except for the results obtained in this paper: for example, whether or not we...
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Báo cáo hóa học: " Research Article Existence Results for Higher-Order Boundary Value Problems on Time Scales" pptx
... Φ t , 2.4 t0 where Φ is an antiderivative of f on T For example, if T t1 t1 −1 f t t f t , 2.5 f t dt t0 and if T Z, then 2.6 t t0 R, then t1 t1 f t t t0 t0 Throughout we assume that t0 < t1 ... points in T, and define the time-scale interval t0 , t1 T {t ∈ T : t0 ≤ t ≤ t1 } In this paper, we also need the the following theorem which can be found in Theorem 2.1 If f ∈ Crd and t ∈ Tk ... yΔ∇ t ∇Δ ∇ t − pn−1 yΔ t pn t y t , and got many excellent results In related papers, Sun 11 considered the following third -order two-point boundary value problem on time scales: uΔΔΔ t f t, u t...
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Báo cáo hóa học: "Research Article Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems" ppt
... solution for BVP 1.1 , 1.2 To this, we let x1 t x2 t − x1 t It and x2 t are any two solutions of BVP 1.1 , 1.2 satisfying 3.3 Let z t is easy to show that z t is a solution of the following boundary ... has at least one solution x1 t in Ω Step Show that x1 t is a solution of BVP 1.1 , 1.2 In fact, the solution x1 t of BVP 3.36 , 3.37 will be a solution of BVP 1.1 , 1.2 , if it satisfies i ϕi t ... − t sin t 3 x1 − x2 2x1 x1 x2 , 3, x2 3.68 Choose α t t, β t t and γ t t It is easy to check that α t t, and β t t are lower and upper solutions of BVP 3.66 , 3.67 respectively, and all the...
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Báo cáo hóa học: " Research Article Subordination for Higher-Order Derivatives of Multivalent Functions" ppt
... Jack’s lemma 11, 12 , Irmak and Cho obtained interesting results for certain classes of functions defined by higher- order derivatives Let f and g be analytic in U Then f is subordinate to g, written ... give important information on the geometric properties of functions satisfying differential subordination conditions involving higher- order derivatives Rosihan M Ali et al The following lemmas are ... Ravichandran, and S K Lee, “Subclasses of multivalent starlike and convex functions,” to appear in Bulletin of the Belgian Mathematical Society - Simon Stevin 14 W C Ma and D Minda, “A unified treatment...
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Báo cáo hóa học: " Research Article On Complex Oscillation Property of Solutions for Higher-Order Periodic Differential Equations Zong-Xuan Chen and Shi-An Gao" pdf
... still assume that the subset with in nite Journal of Inequalities and Applications logarithmic measure in the hypothesis (i) is H), and δ, τ > 0, such that for j > 0, σ G j < δ < τ < σ G0 , log ... through a set L1 of in nite linear measure, we have T r,A j = o T r,A0 ( j = 1, ,k − 2) (1.8) In this paper, we will assume that the reader is familiar with the fundamental results and the standard ... Theorem 1.6, we see that Corollaries 1.7 and 1.8 hold Acknowledgments The authors cordially thank referees for their valuable comments which lead to the improvement of this paper This project...
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Báo cáo hóa học: " Research Article Asymptotic Expansions for Higher-Order Scalar Difference Equations" pdf
... contradiction In this section, we will show that if the limits in (2.2) are approached at an exponential rate, then the conclusion of Theorem 2.1 can be substantially strengthened First, we introduce ... This, together with the Lipschitz continuity of the partial derivatives D j f , ≤ j ≤ k, implies that (2.10) holds Applying Corollary 2.6 to the solution u of (2.1), we obtain the existence of ... Throughout the paper, we will use the standard notations Z, R, and C for the set of integers, real numbers, and complex numbers, respectively The symbol Z+ denotes the set of nonnegative integers For...
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ASYMPTOTIC ESTIMATES AND EXPONENTIAL STABILITY FOR HIGHER-ORDER MONOTONE DIFFERENCE EQUATIONS ´ ppt
... (1.1) starting from Cµ (see Theorems 1.2 and 3.7) For a similar result, using the standard ordering in Rk+1 (µ = 0), see [6] Finally, we establish an asymptotic exponential estimate for the growth ... general results presented in Section Without loss of generality, we assume that in all Theorems 1.1, 1.2, 1.3, and 1.4 below, k ≥ r The first theorem offers an upper estimate for the solutions of inequality ... variation-of-constants formula to obtain an exponential estimate for the growth of the solutions As in Section 1, we assume that k ≥ r in (1.10) Theorem 3.10 Suppose that there exist µ > and a function h...
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TWO-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH STRONG pdf
... consequently, v (t) ≤ w t0 + t a t0 p(s) t v(s) ds for a < t < t0 s−a (3.10) The last inequality, by the Gronwall-Bellman lemma, results in v (t) ≤ w t0 exp t a t0 t p(s)ds ≤ w t0 exp(1) for a < t ≤ t0 ... understand the right and the left limits of that function at the points t0 and t1 Lemma 2.1 Let u ∈ Cloc ( ]t0 ,t1 ]) and t1 t0 t − t0 α+2 u (t) dt < +∞, (2.1) R P Agarwal and I Kiguradze 11 where ... positive constant independent of k Thus if we pass to the limit in the last inequality as k → +∞, then we obtain the contradiction ≤ 0, which proves the lemma Analogously we can prove the following...
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Development of higher order triangular element for accurate stress resultants in plated and shell structures 3
... show substantial deviation from the exact solution Thus HT-TSD-R45 elements yield accurate interlaminar stresses for thin and moderately thick plates HT-LT-R45 elements with cubic interpolation are ... z tk are coordinates of the bottom and top of the k th layer The subscripts i,j take values of 1,2, and 3.4 Finite Ele ment implementation of HT-LT-R45 The displacement finite element model corresponding ... corresponding to the full layerwise theory is developed by substituting an assumed interpolation of the displacement field into the principle of virtual displacements for a representative finite element...
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Development of higher order triangular element for accurate stress resultants in plated and shell structures 6
... elements In this chapter, we shall present the nonlinear finite element formulation of a continuum shell element that accounts for large deflections and moderate 223 Nonlinear Continuum Spectral ... follows the procedure used for integrating the stiffness matrix in triangular plate elements Element external load vector In this section, we present the element load vector due to gravity loads, ... about the nonlinear finite element formulation of a degenerated continuum shell element and two efficient nonlinear solution procedures that are adopted in the present work, the next section begins...
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Development of higher order triangular element for accurate stress resultants in plated and shell structures 1
... modeled by a set of appropriate finite elements that are interconnected at points called nodes Introduction At this point, it would be appropriate to state the mathematical definition of finite element ... pversion elements in the stress analysis of plated and shell structures using Introduction triangular elements While the performance of most of the p-version plate and shell finite elements have ... objective of this chapter is to develop a linear finite element model for continuum shell finite elements called HT-CS and HT-CS-X that have equidistant distributions of geometric nodes and optimized...
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Development of higher order triangular element for accurate stress resultants in plated and shell structures 2
... L2 L3 L4 L3 L L8 2 L1 L2 L8 L2 L3 L1 L2 L6 L2 L7 L1 L3 L1 L7 L3 L1 L3 L7 L2 L1 L2 L7 L1 L2 L1 L5 L1 L1 L2 L2 L1 L3 L5 L1 L3 L1 L4 L5 L2 L1 L4 L4 L5 L1 L2 L4 L1 L5 L2 L1 L1 L2 L3 L1 L2 L2 L6 L1 L3 ... Triangular Mindlin Plate Element The polynomial basis function for p = is given as ộ L1 [S 21 ] = L3 L1 L1 L2 L5 L1 L L1 L2 L3 L5 3 L1 L2 2 L3 L2 L1 L1 L 2 L1 L2 2 L1 L3 L2 L4 L1 L3 L2 3 L1 L2 L3 L4 ... L4 L1 L2 L1 L3 L2 L4 L3 L1 3 L4 L1 L3 L4 L3 L1 3 L4 L1 L2 3 L1 L3 L2 L1 L3 L3 L1 L3 ự ỳ L2 L3 ỳ L6 L1 L2 ỳ ỳ L4 L1 L2 ỳ 3 L2 L1 L3 ỳ 3ỷ (2.28) [S 45 ] denotes the complete 8th order polynomial...
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IEC TR 62095 electric cables calculations for current ratings finite element method
... computer software cannot efficiently handle more than four cables in one installation Overview of the finite element method The finite element method is a numerical technique for solving partial ... calculations The following examples show applications of the finite element method for current rating calculations of underground cables The first example examines a standard cable installation ... also allows the elements to have curved boundaries Practical considerations when applying the finite element method for cable rating calculations When the finite element program is used for the...
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Báo cáo hóa học: " Research Article Cauchy-Neumann Problem for Second-Order ¨ General Schrodinger Equations in Cylinders with Nonsmooth Bas" potx
... with noting that H0 Ω ≡ L2 Ω Assume that lemma’s assertion holds up to l − 1, we need to prove this holds up to l It means that we have to prove following inequality: utj l H0 2−j e− t ,Q∞ l L∞ ... the same arguments in the proof of Lemma 4.2, we have u 2 H0 Ω C ut L2 Ω f L2 Ω u H1 Ω , 4.19 for almost all t ∈ 0, ∞ Multiplying this inequality with e−2 t , then integrating with respect to ... prove following lemma Lemma 4.1 Let γ > 3γ0 arbitrary Assume that u x, t is a weak solution of the problem 2.1 – Then for almost all 2.3 in the space H 1,0 e− t , Q∞ and f, ft , ftt ∈ L 0, ∞, L2 ...
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Family of Uniform Strain Tetrahedral Elements and a Method for Connecting Dissimilar Finite Element Meshes ppt
... required to define the displacement field (three in 2D and four in 3D), then the ellementsimplifies to a traditional constant strain element In this case, the fitted linear displacement field evaluated ... constant strain triangle Results for element type CPE6 are in perfect agreement with the exact solution because the quadratic elements can approximate the elasticity solution exactly Notice that the ... the elasticity solution exactly Notice that the results presented for element types EUST11 and C3D1OM are identical The locking of element types CST4, USTIO and EUST 1l is caused by overly stringent...
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Báo cáo lâm nghiệp: "A comparison of fitting techniques for ponderosa pine height-age models in British Columbia" potx
... diameter tally was taken for all trees in the plot The site tree was inspected again to ensure that it met the requirements for a site tree, and if so, then it was felled, de-limbed, and its total ... estimated before fitting the model with the lag-1 sample autocorrelation from fitting model (5) without the autoregressive model This fitting was done strictly to estimate φ A different value ... and the IDF and PP zones (part b) This figure is split into parts to illustrate a problem with the curves for the BG and ICH zones Although the fit to the height trajectory for the plots in these...
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Báo cáo y học: "Equipment review: New techniques for cardiac output measurement – oesophageal Doppler, Fick principle using carbon dioxide, and pulse contour analysis" pot
... moving at the maximum velocity (close to the green envelope) during systole, and that diastolic flow is minimal measurement in the left ventricular outflow tract using transthoracic echo and Doppler ... used in patients Clinically available techniques include the Fick principle, dye dilution, thermodilution and transthoracic echo Doppler These techniques are less accurate and reproducible, and ... sufficiently stable to allow constant gas diffusion during the mean transit time of blood through the lungs Devices that measure VO2, such as the Delta-Trach (Datex, Helsinki, Finland) indirect calorimetry...
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finite element method in engineering s.s. rao
... impact on the finite element technology In order to realize the full potential of these supercomputers in finite element computation, special parallel numerical algorithms, programming strategies, ... NOTATION load vector due to initial strains of element e in local (global) coordinate system load vector due to surface forces of element e in local (global) coordinate system vector of nodal forces ... simpler one in finding the solution, we will be able to find only an approximate solution rather t h a n the exact solution The existing m a t h e m a t i c a l tools will not be sufficient to find...
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Báo cáo lâm nghiệp:"Aboveground biomass relationships for beech (Fagus moesiaca Cz.) trees in Vermio Mountain, Northern Greece, and generalised equations for Fagus sp." ppt
... in raw data and the “intrinsically nonlinear” type with an additive random error In the “intrinsically linear” model, the original data are log-transformed and the least square method is applied ... in the literature and with theoretical model presented by West et al [30] Finally, an approach similar to that of Pastor et al [21] was used in order to build and validate generalised allometric ... elastic similarity models and Niklas [17] reported that, for very old dicot trees, H µ D0.474 implying that mature trees taper so as to maintain a constant elasticity throughout the tree In this...
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