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Joint Entropy Error Bound of Two-Dimensional Direction-of-Arrival Estimation for L-Shaped Array [PDF]
SensorsSeveral performance lower bounds have been studied for evaluating the accuracy of direction-of-arrival (DOA) estimation. However, lower bounds for joint estimation have not been fully explored when it comes to DOA estimation.
Xiaolong Kong +3 more
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Oscillation in a posteriori error estimation [PDF]
Numerische Mathematik, 2021 AbstractIn a posteriori error analysis, the relationship between error and estimator is usually spoiled by so-called oscillation terms, which cannot be bounded by the error. In order to remedy, we devise a new approach where the oscillation has the following two properties.
Christian Kreuzer, Andreas Veeser
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A priori and a posteriori error analysis of the first order hyperbolic equation by using DG method.
PLoS ONE, 2023 In this research article, a discontinuous Galerkin method with a weighted parameter θ and a penalty parameter γ is proposed for solving the first order hyperbolic equation. The key aim of this method is to design an error estimation for both a priori and
Muhammad Shakhawat Hossain +2 more
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Residual based a posteriori error estimation for Dirichlet boundary control problems [PDF]
ESAIM: Proceedings and Surveys, 2021 We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discontinuous Galerkin (LDG) method ...
Yücel Hamdullah
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IMPROVING A POSTERIORI SPATIAL DISCRETIZATION ERROR ESTIMATION FOR SN TRANSPORT BY SINGULAR CHARACTERISTICS TRACKING [PDF]
EPJ Web of Conferences, 2021 Previously, we have developed a novel spatial discretization error estimator, the “residual source” estimator, in which an error transport problem, analogous to the discretized transport equation, is solved to acquire an estimate of the error, with a ...
Hart Nathan H., Azmy Yousry Y.
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On the accuracy of aposteriori error estimators
Lietuvos Matematikos Rinkinys, 2000 The analysis of the accuracy of the a posteriori error estimation procedure for finite-element solutions is presented. Simple error estimators of residual type are constructed, they allow error estimation in any norm with little extra effort.
Raimondas Čiegis, Olga Suboč
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Mathematics, 2023 In this paper, we approach two nonlinear differential equations applied in fluid mechanics by finite element methods (FEM). Our objective is to approach the solution to these problems; the first one is the “p-Laplacian” problem and the second one is the “
Omar El Moutea +6 more
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A Posteriori Error Estimation for the p-Curl Problem [PDF]
SIAM Journal on Numerical Analysis, 2020 We derive a posteriori error estimates for a semi-discrete finite element approximation of a nonlinear eddy current problem arising from applied superconductivity, known as the $p$-curl problem. In particular, we show the reliability for non-conforming Nédélec elements based on a residual type argument and a Helmholtz-Weyl decomposition of $W^p_0(\text{
Andy T. S. Wan, Marc Laforest
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A Posteriori Error Estimates for the Allen--Cahn Problem [PDF]
SIAM Journal on Numerical Analysis, 2020 This work is concerned with the proof of \emph{a posteriori} error estimates for fully-discrete Galerkin approximations of the Allen-Cahn equation in two and three spatial dimensions. The numerical method comprises of the backward Euler method combined with conforming finite elements in space.
Konstantinos Chrysafinos +2 more
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Mechanics & Industry, 2023 Surface response models, such as polynomial chaos Expansion, are commonly used to deal with the case of uncertain input parameters. Such models are only surrogates, so it is necessary to develop tools to assess the level of error between the reference ...
Serra Quentin, Florentin Eric
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