Results 61 to 70 of about 52,764 (220)
A finite element/polynomial spectral mixed approximation for the Stokes problem
Results in Applied MathematicsA mixed Galerkin approximation for the Stokes problem is proposed. The finite element approximation is used for the velocity and the polynomial spectral approximation for pressure.
Shinya Uchiumi
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, 2014 We analyze the theoretical properties of an adaptive Legendre-Galerkin method in the multidimensional case. After the recent investigations for Fourier-Galerkin methods in a periodic box and for Legendre-Galerkin methods in the one dimensional setting ...
Canuto, Claudio +2 more
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Error Estimates for Galerkin Approximations of the Serre Equations [PDF]
SIAM Journal on Numerical Analysis, 2017 We consider the Serre system of equations which is a nonlinear dispersive system that models two-way propagation of long waves of not necessarily small amplitude on the surface of an ideal fluid in a channel. We discretize in space the periodic initial-value problem for the system using the standard Galerkin finite element method with smooth splines on
Antonopoulos, D.C. +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
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Oblique Water Wave Diffraction by a Step
International Journal of Applied Mechanics and Engineering, 2017 This paper is concerned with the problem of diffraction of an obliquely incident surface water wave train on an obstacle in the form of a finite step.
P. Dolai
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Mathematical Modelling and Analysis, 2021 An efficient Legendre-Galerkin spectral method and its error analysis for a one-dimensional parabolic equation with Dirichlet-type non-local boundary conditions are presented in this paper.
Abdeldjalil Chattouh, Khaled Saoudi
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On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws
, 2015 We prove convergence of a class of space-time discontinuous Galerkin schemes for scalar hyperbolic conservation laws. Convergence to the unique entropy solution is shown for all orders of polynomial approximation, provided strictly monotone flux ...
May, Georg, Zakerzadeh, Mohammad
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Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
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Reproductive solution for grade-two fluid model in two dimensions
Revista Integración, 2009 We treat the existence of reproductive solution (weak periodic solution) of a second-grade fluid system in two dimensions, by using the Galerkin approximation method and compactness arguments.
L. Friz +2 more
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Electronic Journal of Differential Equations, 2016 The goal of this article is to explore and motivate stabilization requirements for various types of discontinuous Galerkin (DG) methods. A new approach for the understanding of DG approximation methods for second order elliptic partial differential ...
Thomas Lewis
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