Results 21 to 30 of about 701,176 (312)
Journal of Inequalities and Applications, 2016 In this study, a high accuracy numerical method based on the spectral theory of compact operator for biharmonic eigenvalue equations on a spherical domain is developed.
Zhendong Luo
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Stability, instability, and error of the force-based quasicontinuum approximation [PDF]
, 2009 Due to their algorithmic simplicity and high accuracy, force-based model coupling techniques are popular tools in computational physics. For example, the force-based quasicontinuum (QCF) approximation is the only known pointwise consistent quasicontinuum
Luskin, Mitchell Barry +5 more
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A fully-discrete finite element approximation for the eddy currents problem
Ingeniería y Ciencia, 2013 The eddy current model is obtained from Maxwell’s equations by neglecting the displacement currents in the Amp`ere-Maxwell’s law and it is commonly used in many problems in sciences, engineering and industry (e.g, in induction heating, electromagnetic ...
Ramiro Acevedo, Gerardo Loaiza
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Mathematics, 2020 In this article, some high-order time discrete schemes with an H 1 -Galerkin mixed finite element (MFE) method are studied to numerically solve a nonlinear distributed-order sub-diffusion model.
Yaxin Hou +5 more
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A posteriori error control for a quasi-continuum approximation of a periodic chain [PDF]
, 2013 We consider a one-dimensional periodic atomistic model, for which we formulate and analyse an adaptive variant of a quasicontinuum method. We establish a posteriori error estimators for the energy norm and for the energy, based on a posteriori residual ...
Wang, Hoa, Ortner, Christoph
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Mathematical Modelling and Analysis, 2012 In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren +3 more
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Mathematics, 2022 The inverse and ill-posed problem of determining a solute concentration for the two-dimensional nonhomogeneous fractional diffusion equation is investigated. This model is much worse than its homogeneous counterpart as the source term appears. We propose
Yonggang Chen, Yu Qiao, Xiangtuan Xiong
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Estimates of convolutions of certain number-theoretic error terms
International Journal of Mathematics and Mathematical Sciences, 2004 Several estimates for the convolution function C [f(x)]:=∫1xf(y) f(x/y)(dy/y) and its iterates are obtained when f(x) is a suitable number-theoretic error term.
Aleksandar Ivic
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A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations
Journal of Inequalities and Applications, 2016 In this paper, we provide a new type of study approach for the two-dimensional (2D) Sobolev equations. We first establish a semi-discrete Crank-Nicolson (CN) formulation with second-order accuracy about time for the 2D Sobolev equations. Then we directly
Zhendong Luo
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Generalized Beta Prime Distribution Applied to Finite Element Error Approximation
Axioms, 2022 In this paper, we propose a new family of probability laws based on the Generalized Beta Prime distribution to evaluate the relative accuracy between two Lagrange finite elements Pk1 and Pk2 ...
Joël Chaskalovic, Franck Assous
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