Free vibration of layered circular cylindrical shells of variable thickness using spline function approximation.
Viswanathan, K.K., Kim, Kyung Su, Lee, Kyung Ho, Lee, Jang Hyun (2010)
Mathematical Problems in Engineering
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Viswanathan, K.K., Kim, Kyung Su, Lee, Kyung Ho, Lee, Jang Hyun (2010)
Mathematical Problems in Engineering
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Rossana Dimitri (2015)
Curved and Layered Structures
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Within a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode-I debonding problems between deformable bodies in the context of large deformations. Based on the concept of IGA, the smooth basis functions are adopted to describe surface geometries and approximate the numerical solutions, leading to...
Vladimir Bogdanov, Wladimir Karsten, Valeriy Miroshnichenko, Yuriy Volkov (2013)
Open Mathematics
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A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from...
Stojanović, Mirjana (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Pílnikova, Jana, Chalmovianský, Pavel (1999)
Journal for Geometry and Graphics
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Stojanović, Mirjana (1988)
Publications de l'Institut Mathématique. Nouvelle Série
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Mirjana Stojanović (1988)
Publications de l'Institut Mathématique
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Lamnii, Abdellah, Mraoui, Hamid, Sbibih, Driss, Tijini, Ahmed, Zidna, Ahmed (2008)
Applied Mathematics E-Notes [electronic only]
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Jiří Kobza (1991)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Segeth, Karel
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Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the...
Branga, Adrian (1996)
General Mathematics
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Micula, G. (2003)
Rendiconti del Seminario Matematico
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R. Zejnullahu (1989)
Matematički Vesnik
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