1 citations · 3 across the 9 of their papers we have counts for
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A Conjugate Gradient Formulation of the EnKF Algorithm
Sanghyun Lee, Zhengqi Liu, Jonathan Valyou +1
Ensemble Kalman Filter (EnKF) based data assimilation algorithms synthesize predictive numerical forecast models with accumulated data as time evolves and account for model uncerta…
Superconvergence in finite element method by smoothing
Yuwen Li, Han Shui, Ludmil Zikatanov
This paper develops a smoothing-based postprocessing method for superconvergence in finite element methods. The method applies a few smoothing iterations, such as damped Jacobi, Ga…
Oscillation-free numerical schemes for Biot's model and their iterative coupling solution
Álvaro Pé de la Riva, Francisco J. Gaspar, Xiaozhe Hu +3
In this work, we present a new stabilization method aimed at removing spurious oscillations in the pressure approximation of Biot's model for poroelasticity with low permeabilities…
Reduced Krylov Basis Methods for Parametric Partial Differential Equations
Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
This work is on a user-friendly reduced basis method for solving a family of parametric PDEs by preconditioned Krylov subspace methods including the conjugate gradient method, gene…
A Local Fourier Analysis for Additive Schwarz Smoothers
Álvaro Pé de la Riva, Carmen Rodrigo, Francisco J. Gaspar +3
In this work, a local Fourier analysis is presented to study the convergence of multigrid methods based on additive Schwarz smoothers. This analysis is presented as a general frame…
A reduced conjugate gradient basis method for fractional diffusion
Yuwen Li, Ludmil T. Zikatanov, Cheng Zuo
This work is on a fast and accurate reduced basis method for solving discretized fractional elliptic partial differential equations (PDEs) of the form by rationa…