Results 11 to 20 of about 497,613 (208)

Structural Robustness of Complex Networks: A Survey of A Posteriori Measures[Feature] [PDF]

open access: yesIEEE Circuits and Systems Magazine, 2023
Network robustness is critical for various industrial and social networks against malicious attacks, which has various meanings in different research contexts and here it refers to the ability of a network to sustain its functionality when a fraction of ...
Yang Lou, Lin Wang, Guanrong Chen
semanticscholar   +1 more source

A Posteriori Learning for Quasi‐Geostrophic Turbulence Parametrization [PDF]

open access: yesJournal of Advances in Modeling Earth Systems, 2022
The use of machine learning to build subgrid parametrizations for climate models is receiving growing attention. State‐of‐the‐art strategies address the problem as a supervised learning task and optimize algorithms that predict subgrid fluxes based on ...
Hugo Frezat   +4 more
semanticscholar   +1 more source

Stable a posteriori LES of 2D turbulence using convolutional neural networks: Backscattering analysis and generalization to higher Re via transfer learning [PDF]

open access: yesJournal of Computational Physics, 2021
There is a growing interest in developing data-driven subgrid-scale (SGS) models for large-eddy simulation (LES) using machine learning (ML). In a priori (offline) tests, some recent studies have found ML-based data-driven SGS models that are trained on ...
Yifei Guan   +3 more
semanticscholar   +1 more source

Bayesian ODE solvers: the maximum a posteriori estimate [PDF]

open access: yesStatistics and computing, 2020
There is a growing interest in probabilistic numerical solutions to ordinary differential equations. In this paper, the maximum a posteriori estimate is studied under the class of ν\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym ...
Filip Tronarp   +2 more
semanticscholar   +1 more source

A posteriori error bounds for discontinuous Galerkin methods for quasilinear parabolic problems [PDF]

open access: yes, 2009
We derive a posteriori error bounds for a quasilinear parabolic problem, which is approximated by the $hp$-version interior penalty discontinuous Galerkin method (IPDG). The error is measured in the energy norm.
Anthonissen, M.J.H.   +5 more
core   +5 more sources

Residual based a posteriori error estimation for Dirichlet boundary control problems [PDF]

open access: yesESAIM: 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
doaj   +1 more source

A posteriori error estimates for the virtual element method [PDF]

open access: yesNumerische Mathematik, 2016
An posteriori error analysis for the virtual element method (VEM) applied to general elliptic problems is presented. The resulting error estimator is of residual-type and applies on very general polygonal/polyhedral meshes.
A. Cangiani   +3 more
semanticscholar   +1 more source

Recovery type a posteriori error estimation of adaptive finite element method for Allen-Cahn equation

open access: yesJournal of Computational and Applied Mathematics, 2020
The aim of this paper is to derive recovery type a posteriori error estimation for the Allen–Cahn equation by using Crank–Nicolson finite element method.
Yaoyao Chen, Yunqing Huang, Nianyu Yi
semanticscholar   +1 more source

A posteriori error estimates for a Virtual Element Method for the Steklov eigenvalue problem [PDF]

open access: yesComputers and Mathematics with Applications, 2016
The paper deals with the a posteriori error analysis of a virtual element method for the Steklov eigenvalue problem. The virtual element method has the advantage of using general polygonal meshes, which allows implementing very efficiently mesh ...
D. Mora, G. Rivera, R. Rodríguez
semanticscholar   +1 more source

A Posteriori Error Analysis for a New Fully Mixed Isotropic Discretization of the Stationary Stokes-Darcy Coupled Problem

open access: yesAbstract and Applied Analysis, 2020
In this paper, we develop an a posteriori error analysis for the stationary Stokes-Darcy coupled problem approximated by conforming the finite element method on isotropic meshes in ℝd, d∈2,3.
Houédanou Koffi Wilfrid   +2 more
doaj   +1 more source

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