A Posteriori Error Estimators for Fourth Order Elliptic Problems with Concentrated Loads
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DOI: 10.1007/s10915-025-03089-4
Abstract: In this paper, we study two residual-based a posteriori error estimators for the C0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^0$$\end{document} interior penalty method in solving the biharmonic equation in a polygonal domain… read more here.
Keywords: posteriori error; error estimators; fourth order; order elliptic ... See more keywords
On the robustness of variational multiscale error estimators for the forward propagation of uncertainty
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DOI: 10.1016/j.cma.2018.07.041
Abstract: Abstract The numerical simulation of physical phenomena and engineering problems can be affected by numerical errors and various types of uncertainties. Characterizing the former in computational frameworks involving system parameter uncertainties becomes a key issue.… read more here.
Keywords: multiscale error; error; robustness variational; variational multiscale ... See more keywords
Comparison of Different Error Estimators for the p-Adaptive Discontinuous Galerkin Solution of Separated Flows
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DOI: 10.1080/10618562.2024.2329173
Abstract: The use of high-order discontinuous Galerkin (dG) methods is gaining interest in the efficient and accurate simulation of flow problems to meet the growing demand for high-fidelity results. dG methods provide higher accuracy than standard… read more here.
Keywords: error estimators; different error; estimators adaptive; error ... See more keywords
Evaluation of Local Error Estimators for the RWG-Based EFIE
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DOI: 10.1109/tap.2017.2782265
Abstract: Several error estimators suitable for use with the adaptive refinement solution of the electric field integral equation (EFIE) are investigated. The estimators are evaluated using a series of test problems for which correlation coefficients and… read more here.
Keywords: evaluation local; local error; error; estimators rwg ... See more keywords