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Nodal auxiliary a posteriori error estimates
Mathematics of ComputationWe introduce and explain key relations between a posteriori error estimates and subspace correction methods viewed as preconditioners for problems in infinite dimensional Hilbert spaces. We set the stage using the Finite Element Exterior Calculus and Nodal Auxiliary Space Preconditioning.
Yuwen Li 0001, Ludmil T. Zikatanov
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A Posteriori Error Estimates for Axisymmetric and Nonlinear Problems
Advances in Computational Mathematics, 2001 Suppose \(x_1\), \(x_2\), \(x_3\) denote the cylidrical coordinates in \(\mathbb{R}^3\). The authors first study the axisymmetric solution of \[ -\sum^3_{i=1} {\partial\over\partial x_i} \Biggl(A_i{\partial U\over\partial x_i}\Biggr)= F, \] in a rotation body with mixed Dirichlet and Neumann boundary conditions in order to establish a posteriori ...
Krízek, M, Nemec, J, Vejchodský, T
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Fast recovery algorithm based on Boltzmann machine and MMSE criterion
工程科学学报, 2017 Fully connected Boltzmann machine models can be used to provide a comprehensive description of statistical dependencies between sparse coefficients but with high time complexity. To improve the speed and quality of the Boltzmann machine-Bayesian matching
LIU Ling-jun +3 more
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A posteriori error estimates for the Richards equation
Mathematics of ComputationThe Richards equation is commonly used to model the flow of water and air through soil, and it serves as a gateway equation for multiphase flows through porous media. It is a nonlinear advection–reaction–diffusion equation that exhibits both parabolic–hyperbolic and parabolic–elliptic kind of degeneracies. In this study, we provide
Mitra, Koondanibha, Vohralík, Martin
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International Journal of Mathematics for IndustryIn this paper, we present an a posteriori error estimation for numerical solutions of Physics-Informed Neural Networks (PINNs) for the Navier–Stokes equations under the Dirichlet boundary condition with external force.
Baige Xu, Takaharu Yaguchi
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Results in Applied Mathematics, 2019 This paper presents an a posteriori error analysis for a coupled continuum pipe-flow/Darcy model in Karst aquifers. We consider a unified anisotropic finite element discretization (i.e. elements with very large aspect ratio).
Houédanou Koffi Wilfrid
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International Journal of Digital Multimedia Broadcasting, 2008 This paper presents a new block iterative/adaptive frequency-domain channel estimation scheme, in which a channel frequency response (CFR) is estimated iteratively by the proposed weighted element-wise block adaptive frequency-domain channel estimation ...
Jong-Seob Baek, Jong-Soo Seo
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IEEE Access, 2019 Meliorating a priori stochastic model of Kalman filer (KF) is always challenging. To address this challenge, this paper simultaneously estimates and corrects the variance components for all of the process noise and measurement matrix (Q & R) by a ...
Minghong Zhu +4 more
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Estimation of the Reliability of a Stress–Strength System from Poisson Half Logistic Distribution
Entropy, 2020 This paper discussed the estimation of stress-strength reliability parameter R=P ...
Isyaku Muhammad +4 more
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A Posteriori Error Estimates for Maxwell’s Eigenvalue Problem
Journal of Scientific Computing, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniele Boffi +3 more
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