A new method for calculating the radial spheroidal functions of the first kind is proposed for the arguments that are greater than unity in modulus. A well-known representation of these functions is refined and used f...
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Let S be an operator in a Banach space H and S i (u) (i = 0, 1, ..., u H) be the evolutionary process specified by S. The following problem is considered: for a given point z 0 and a given initial condition a 0, find ...
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In this Paper is introduced a time-discretization scheme for the numerical simulation of coupled thermomechanical. evolutions of SMA structures. A particular feature of this time-discretized problem is that its soluti...
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ISBN:
(纸本)0819462233
In this Paper is introduced a time-discretization scheme for the numerical simulation of coupled thermomechanical. evolutions of SMA structures. A particular feature of this time-discretized problem is that its solutions can be expressed as the solutions of a variational problem. This variational formulation allows one to study the existence and unicity of solutions. The approach presented is applied to simulate the propagation of a martensitic zone in a circular cylinder under traction.
Bence, Merriman, and Osher proposed an algorithm for computing the motion a hypersurface by mean curvature in terms of solutions of the usual heat equation, continually reinitialized after short time steps. In this pa...
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Bence, Merriman, and Osher proposed an algorithm for computing the motion a hypersurface by mean curvature in terms of solutions of the usual heat equation, continually reinitialized after short time steps. In this paper, applying some techniques of asymptotic analysis for the Allen-Cahn equation, we give a rate of convergence of their algorithm for the motion of a smooth and compact hypersurface by mean curvature. We also consider the special case of a circle evolving by curvature and show that our rate is optimal.
The electromagnetic force introduces a new physics dimension for enhancing aerodynamic performance of aerospace vehicles. In order to simulate interdisciplinary phenomena, the Navier-Stokes and Maxwell equations in th...
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The electromagnetic force introduces a new physics dimension for enhancing aerodynamic performance of aerospace vehicles. In order to simulate interdisciplinary phenomena, the Navier-Stokes and Maxwell equations in the time domain must be integrated on a common frame of reference. For a wide range of applications from subsonic unmanned vehicles to hypersonic flight control, the resultant nonlinear partial differential equations offer a formidable challenge for numerical analysis. The experience and physical insight using the approximate Riemann and compact-differencing formulation as well as several temporal discritizations will be shared. The most recent development and advancement in numerical procedures for solving this system of governing equations are delineated.
A methodology for the prediction of low end and high end extremes in sustained water level is established. The observational data base is a long-duration sequence of monthly high and low extremes. The data identifies ...
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A methodology for the prediction of low end and high end extremes in sustained water level is established. The observational data base is a long-duration sequence of monthly high and low extremes. The data identifies a deterministic trend attributable to Mean Sea Level rise and the nominal 19-year forcing in the astronomical tide. The data is pre-conditioned to remove these trends, defining a net data series suitable for extreme value analysis. Context-specific issues in the extreme value analysis are identified and resolved. These include probability model compatibility with elevation datums, rational estimation of the distribution parameters, and the estimation of confidence limits. The predictions for extreme low and high water levels are both real time and return period dependent. (C) 2004 Elsevier B.V. All rights reserved.
The theory of conventional constrained molecular dynamics (MD) simulations is reexamined based on a projection operator approach. A new algorithm, named WIGGLE, is presented for MD simulations with internal constraint...
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The theory of conventional constrained molecular dynamics (MD) simulations is reexamined based on a projection operator approach. A new algorithm, named WIGGLE, is presented for MD simulations with internal constraints. At each time step, the algorithm utilizes the constrained accelerations derived from velocity adjustments to satisfy the hidden constraints, and provides both initial and final constrained values that are almost an order of magnitude closer to the desired values than does RATTLE. Its performance is compared with those of RATTLE and SHAKE for an octane molecule. Also presented are a formalism to additionally constrain the angular momentum about the center of mass and an expression for the local energy drift during each integration time step. (c) 2005 Elsevier Inc. All rights reserved.
The equations of nonaxisymmetric vibrations of sandwich cylindrical shells with discrete core under nonstationary loading are presented. The components of the elastic structure are analyzed using a refined Timoshenko ...
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The equations of nonaxisymmetric vibrations of sandwich cylindrical shells with discrete core under nonstationary loading are presented. The components of the elastic structure are analyzed using a refined Timoshenko theory of shells and rods. The numerical method used to solve the dynamic equations is based on the integro-interpolation method of constructing finite-difference schemes for equations with discontinuous coefficients. The dynamic problem for a sandwich cylindrical shell under distributed nonstationary loading is solved with regard for the discreteness of the core.
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