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Titlebook: Mathematical Modeling and Numerical Simulation in Continuum Mechanics; Proceedings of the I Ivo Babuška,Philippe G. Ciarlet,Tetsuhiko Miyos

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Luca Formaggia,Fabio Nobile,Alfio Quarteronixt of kin. This chapter discusses intergenerational care, mainly from the next of kin’s point of view, when an older family member and the next of kin live far from each other. The study is based on my—the author’s—autoethnographic account of the experience after my father suffered a stroke a few ye
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A Survey of Stabilized Plate Elements,umvents the requirement that the finite element spaces should satisfy the Babuška- Brezzi conditions. In the first family the polynomial order of the basis functions for the deflection is one higher than that for the rotation. In the second family the stabilization is combined with the MITC interpol
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Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Joints,k growth analysis is developed. Also some experimental data necessary for the practical application of this program are obtained. Above all, the data related to the crack growth rate play a key role and are obtained in terms of the maximum opening stress range Δσθ. as . where α = 2.0 and β = 2.5 x 1
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Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method,scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since it uses primitive Euler representation, it suits for multi-phase analysis. The recent version of this method guarantees the exact mass conservation even in the framework of semi-Lagrangean scheme.
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Numerical Analysis of Electromagnetic Problems,mments on the edge and face elements, frequently employed in the finite element discretizations, are given. Moreover, we present some iteration methods which are effective to solve discrete equations arising from finite element methods.
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A-priori Domain Decomposition of PDE Systems and Applications,in its statement. For these the necessary numerical analysis is different because domain decomposition is not only at the discrete level but also on the continuous problem. Therefore non-matching grids for their numerical solutions is more natural, but requires new error estimates..Our main purpose
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A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis,characteristic of an artery is caused by the presence of a vascular prosthesis (e.g. a stent). The derivation of the model and the numerical scheme adopted for its solution are detailed. Numerical experiments show the effectiveness of the model for the problem at hand.
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