A new mixed discontinuous Galerkin method for the electrostatic field
Advances in Difference Equations, 2019 We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size.
Abdelhamid Zaghdani, Mohamed Ezzat
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A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations [PDF]
IMA Journal of Numerical Analysis, 2017 We present a priori and a posteriori error analyses of a virtual element method (VEM) to approximate the vibration frequencies and modes of an elastic solid. We analyse a variational formulation relying only on the solid displacement and propose an $H^{1}
D. Mora, G. Rivera
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Estimation of channel MSE for ATSC 3.0 receiver and its applications
ICT Express, 2022 In this paper, we propose a method to estimate the mean square error (MSE) of the estimated channel for ATSC (Advanced Television Systems Committee) 3.0 systems.
Yu-Sun Liu +2 more
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Bayesian updating: increasing sample size during the course of a study
BMC Medical Research Methodology, 2021 Background A priori sample size calculation requires an a priori estimate of the size of the effect. An incorrect estimate may result in a sample size that is too low to detect effects or that is unnecessarily high. An alternative to a priori sample size
Mirjam Moerbeek
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Aspects of an adaptive finite element method for the fractional Laplacian: A priori and a posteriori error estimates, efficient implementation and multigrid solver☆☆☆ [PDF]
, 2017 We develop all of the components needed to construct an adaptive finite element code that can be used to approximate fractional partial differential equations, on non-trivial domains in d ≥ 1 dimensions.
M. Ainsworth, Christian A. Glusa
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Goal-oriented adaptive method for Fredholm partial integro-differential equations
Ain Shams Engineering Journal, 2023 In this article, a goal-oriented adaptive scheme is proposed for Fredholm partial integro-differential equations (FPIDEs). The aim of this work is to obtain higher accuracy approximations for the unknown function and its derivative at a given fixed point.
M. Sameeh, A. Elsaid, M. El-Agamy
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Reconstructing the right-hand side of the Rayleigh–Stokes problem with nonlocal in time condition
Advances in Difference Equations, 2021 In this paper, the problem of finding the source function for the Rayleigh–Stokes equation is considered. According to Hadamard’s definition, the sought solution of this problem is both unstable and independent of continuous data. By using the fractional
Phuong Nguyen Duc +3 more
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Banach space projections and Petrov-Galerkin estimates [PDF]
, 2015 We sharpen the classic a priori error estimate of Babuska for Petrov-Galerkin methods on a Banach space. In particular, we do so by (i) introducing a new constant, called the Banach-Mazur constant, to describe the geometry of a normed vector space; (ii ...
Stern, Ari
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A priori error estimation for the stochastic perturbation method
Computer Methods in Applied Mechanics and Engineering, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Yu Wang +3 more
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An H1 -Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic Equation
Mathematical Modelling and Analysis, 2017 In this paper we investigate a semi-discrete H1 -Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string.
Fengxin Chen, Zhaojie Zhou
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