Tuesday, December 8. 2020
Effectiveness of the Probabilistic Assessment to Analyse of the Tall Building Safety using FE Method
J. Kralik, J. Kralik, jr. and P. Rosko
Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 810 05 Bratislava, Slovakia and Centre of Mechanics and Structural Dynamics 1010 Vienna University of Technology Vienna, Austria Received 01/03/2020, Revised 21/07/2020, Accepted 30/10/2020
Abstract: This paper describes some experiences from the deterministic and probabilistic analysis of building structure reliability and safety. There are presented the methods and requirements of Eurocode EN 1990, standard ISO 2394 and JCSS. On the example of the probability analysis of the reliability of the tall buildings is demonstrated the affectivity of the probability design of structures using FE Method. © European Society of Computational Methods in Sciences and Engineering Keywords: Extreme environment effect, earthquake, nonlinearity, probability, sensitivity, RSM, ANSYS Mathematics Subject Classification: 00A69, 49Mxx
Tuesday, December 8. 2020
Probabilistic Assessment to Analyze of Steel Hall Collapse due to Extreme Wind Impact
J. Kralik and J. Kralik, jr.
Department of Structural Mechanics,
Faculty of Civil Engineering,
Slovak University of Technology in Bratislava,
810 05 Bratislava, Slovakia
Received 28/02/2020, Revised 21/07/2020, Accepted 28/10/2020 Abstract: Engineering structures are designed to resist all expected loadings without failure. However, structural failures do happen occasionally, mainly due to inadequate design and construction, especially for extreme loads. The main aim of this contribution is to find out the maximum load carrying capacity of the steel frame. Account is taken of nonlinear material behavior and geometry of member, in combination of the stability analysis. © European Society of Computational Methods in Sciences and Engineering Keywords: Extreme wind, nonlinearity, probability, sensitivity, NPP, RSM, FEM, ANSYS Mathematics Subject Classification: 00A69, 49Mxx
Tuesday, November 17. 2020
Numerical Analysis of the One-Dimensional Nonlinear Boundary Value Problem that Modeling an Electrostatic NEMS by Two-Sided Approximations Method
O. Konchakovska, M. Sidorov
Department of Applied Mathematics, Faculty of Information and Analytical Technologies and Managment, Kharkiv National University of Radio Electronics, 61166, Kharkiv, Ukraine
Received 17 May, 2020; accepted in revised form 10 November, 2020
Abstract: The problem of numerical analysis of a nanoelectromechanical system, whose mathematical model is the first boundary value problem for a nonlinear one-dimensional elliptic equation, has been considered. An algorithm for obtaining two-sided approximations to a unique positive solution of the problem has been constructed using the method of successive approximations. The work of the proposed method is demonstrated by a series of computational experiments.
c⃝ 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: two-sided approach method, Green’s functions method, strongly invariant cone segment, heterotone operator, nanoelectromechanical system Mathematics Subject Classification: 34B15; 34B18
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Monday, September 14. 2020
A New Conjugate Gradient Method with Descent Properties and its Application to Regression analysis
Ibrahim Mohammed Sulaiman1, Mustafa Mamat1*
1Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, 21300 Terengganu, Malaysia
corresponding author: *must@unisza.edu.my sulaimanib@unisza.edu.my Submitted 24/07/2019, Revised 13/01/2020, 2nd revised: 11/06/2020, accepted: 09/09/2020
Abstract: The area of unconstrained optimization has been enjoying vivid growth recently, with significant progress on numerical innovative techniques. The classical technique for obtaining the solution of this problem is the Conjugate Gradient (CG) scheme, due to its rapid convergence rate with low memory requirements. However, recent variations of CG methods are complicated and computationally expensive. This paper presents a new and efficient CG parameter with descent condition for solving optimization problems. The convergence result of this method is established under exact and inexact line search. The proposed method is applied to real-life problems in regression analysis. Numerical results have been reported to illustrate the efficiency and robustness of the proposed method.
© European Society of Computational Methods in Sciences and Engineering Keywords: Optimization; exact line search; global convergence; conjugate gradient method; Mathematics Subject Classification: 90C53; 65K05
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Tuesday, August 25. 2020
Numerical approximations of the Keyfitz-Kranzer type models by using entropy stable schemes
Carlos A. Vega1 Departmento de Matem´aticas y Estadıstica, Universidad del Norte, Km 5 Via Puerto Colombia Barranquilla, Colombia.
Sonia Valbuena Grupo GIHEM, Universidad del Atl´antico, Km 7 Via Puerto Colombia Barranquilla, Colombia.
Abstract: Numerical simulations for the Keyfitz-Kranzer system of equations are developed by using high-order entropy stable schemes proposed by Fjordholm et. al. [Arbitrary high-order essentially non-oscillatory entropy stable schemes for systems of conservation laws, SIAM J. Numer. Anal., 50, 544-573 (2012)]. Since existence of entropy pairs is an important ingredient to this approach, they are described in details. Numerical experiments include errors and convergence rates to illustrate the performance of the schemes.
c 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: Conservation laws, Keyfitz-Kranzer system, entropy conservative flux, entropy stable scheme. Mathematics Subject Classification: 35L65, 35L45, 35L67, 58J45, 65M06
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Wednesday, May 6. 2020
Finite Integration Method Using Chebyshev Expansion for Solving Nonlinear Poisson Equations on Irregular Domains
A. Duangpan1 and R. Boonklurb2
1,2Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand
Received 27 March, 2019; accepted in revised form 28 April, 2020
Abstract: Several boundary value problems are dened on complex shaped domains, such as pentagonal, circular, L-shaped, butter y, peanut-shaped and elliptic domains. These irregular domains give diculty in term of solving both analytically and numerically. This paper devises the nite integration method via Chebyshev polynomials (FIM-CBS) to deduce the ecient numerical scheme for solving two-dimensional nonlinear Poisson equations over these irregular domains with the discretization through Chebyshev nodes. The demonstrative numerical examples are provided. The numerical solutions by the FIM-CBS are compared with the analytical solutions. The results show that the proposed method is very eective and accurate with a small number of computational nodes.
c 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: nite integration method, Chebyshev polynomial, nonlinear Poisson equation, irregular domain Mathematics Subject Classication: 65D30, 65M50, 65N30
Thursday, March 26. 2020
SEMI-EMPIRICAL COMPUTATIONAL METHOD FOR STUDYING THE DIFFUSION OF MOISTURE AND GENERATOR GASES IN THE CAPILLARY-POROUS SPACE OF REPRESENTATIVE BIOFUELS
T.V. Karpukhina1, V.N. Kovalnogov1,2, M.S. Boyarkin1
1Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, SevernyVenets Street 32, 432027 Ulyanovsk, Russian Federation 2Scientific and Educational Center "Digital Industry", South Ural State University, 76 Lenin Ave., 454080 Chelyabinsk, Russian Federation
Received 10 March, 2020; Accepted in revised form 23 March, 2020
Abstract The complex of issues related to the mathematical modeling of heat-and-mass transfer of moisture and gas in the capillary-porous space of solid biofuel cells is discussed. This is the theoretical basis for developing of biofuel enrichment technologies which include heating with simultaneous saturation of the capillary-porous space by the synthesis gas and the combustible components of the recycle gas that in complex contributes the most complete combustion of cells and improve the fuel efficiency and environmental friendliness of the boiler plant. The mathematical model defining the kinetics of heat and humidity conditions and saturation of biofuel cellsis given and discussed. Keywords: diffusion, capillary-porous space, heat-and-humidity state, modeling,enrichment technology.
c 2020 European Society of Computational Methods in Sciences and Engineering
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