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07/15/2023
Error Analysis of Virtual Element Method for the Poisson-Boltzmann Equation
The Poisson-Boltzmann equation is a nonlinear elliptic equation with Dir...
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10/27/2022
FAS-UNet: A Novel FAS-driven Unet to Learn Variational Image Segmentation
Solving variational image segmentation problems with hidden physics is o...
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10/08/2022
Fourier Neural Solver for large sparse linear algebraic systems
Large sparse linear algebraic systems can be found in a variety of scien...
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08/18/2022
An Improved Multi-Stage Preconditioner on GPUs for Compositional Reservoir Simulation
The compositional model is often used to describe multicomponent multiph...
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07/14/2022
Error Analysis of Virtual Element Methods for the Time-dependent Poisson-Nernst-Planck Equations
We discuss and analyze the virtual element method on general polygonal m...
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01/06/2022
Parallel Multi-Stage Preconditioners with Adaptive Setup for the Black Oil Model
The black oil model is widely used to describe multiphase porous media f...
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11/11/2021
Solving time-dependent parametric PDEs by multiclass classification-based reduced order model
In this paper, we propose a network model, the multiclass classification...
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05/28/2021
Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems
The research of two-level overlapping Schwarz (TL-OS) method based on co...
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02/12/2020
Algebraic multigrid block preconditioning for multi-group radiation diffusion equations
The paper focuses on developing and studying efficient block preconditio...
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01/02/2020
Local Averaging Type a Posteriori Error Estimates for the Nonlinear Steady-state Poisson-Nernst-Planck Equations
The a posteriori error estimates are studied for a class of nonlinear st...
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09/10/2019
Adaptive-Multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems
In this paper we are concerned with the weighted plane wave least-square...
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07/09/2019
SVGD: A Virtual Gradients Descent Method for Stochastic Optimization
Inspired by dynamic programming, we propose Stochastic Virtual Gradient ...
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06/17/2019