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Static stability of higher order functionally graded beam under variable axial load
Alexandria Engineering Journal, 2020 This article investigates effects of axial load distribution on buckling loads and their modes of functionally graded (FG) beams including a shear effect for the first time, since all previous studies focused on constant axial load.
A. Melaibari +3 more
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Global attractors for a class of semilinear degenerate parabolic equations
Open Mathematics, 2021 In this paper, we consider the long-time behavior for a class of semi-linear degenerate parabolic equations with the nonlinearity ff satisfying the polynomial growth of arbitrary p−1p-1 order.
Zhu Kaixuan, Xie Yongqin
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Elliptic reconstruction and a posteriori error estimates for fully discrete linear parabolic problems [PDF]
, 2006 We derive a posteriori error estimates for fully discrete approximations to solutions of linear parabolic equations. The space discretization uses finite element spaces that are allowed to change in time. Our main tool is an appropriate adaptation of the
Lakkis, Omar, Makridakis, Charalambos
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Applications of higher-order parabolic equations [PDF]
The Journal of the Acoustical Society of America, 1989 The parabolic equation (PE) model is very useful for many range-dependent acoustic calculations. However, the PE solution breaks down for propagation at large angles, out to long ranges, and in domains in which sound-speed variations are relatively large.
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Nonlocal Boundary Conditions for Higher–Order Parabolic Equations [PDF]
PAMM, 2006 AbstractThis work deals with the efficient numerical solution of the two–dimensional one–way Helmholtz equation posed on an unbounded domain. In this case one has to introduce artificial boundary conditions to confine the computational domain. Here we construct with the Z –transformation so–called discrete transparent boundary conditions for higher ...
Matthias Ehrhardt, Andrea Zisowsky
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Journal of Mathematics, 2022 In this paper, a new sixth-order finite difference compact reconstruction unequal-sized weighted essentially nonoscillatory (CRUS-WENO) scheme is designed for solving the nonlinear degenerate parabolic equations on structured meshes.
Liang Li, Yan Zhang, Jun Zhu
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A generalized regularization scheme for solving singularly perturbed parabolic PDEs
Partial Differential Equations in Applied Mathematics, 2022 Many problems in science and engineering can be modeled as singularly perturbed partial differential equations. Solutions to such problems are not generally continuous with respect to the perturbation parameter(s) and hence developing stable and ...
M.P. Rajan, G.D. Reddy
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On nonexistence of Baras--Goldstein type for higher-order parabolic equations with singular potentials [PDF]
, 2009 An analogy of nonexistence result by Baras and Goldstein (1984), for the heat equation with inverse singular potential, is proved for 2mth-order linear parabolic equations with Hardy-supercritical singular potentials.
Galaktionov, V. A., Kamotski, I. V.
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Nonautonomous Dynamical Systems, 2014 We establish the well-posedness of boundary value problems for a family of nonlinear higherorder parabolic equations which comprises some models of epitaxial growth and thin film theory. In order to achieve this result, we provide a unified framework for
Sandjo Albert N., Soh Célestin Wafo
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Multi-level higher order QMC Galerkin discretization for affine parametric operator equations [PDF]
, 2014 We develop a convergence analysis of a multi-level algorithm combining higher order quasi-Monte Carlo (QMC) quadratures with general Petrov-Galerkin discretizations of countably affine parametric operator equations of elliptic and parabolic type ...
Dick, Josef +3 more
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