Xiaozhe Hu | DeepAI

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Long Chen
127 publications
Shuchin Aeron
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Yunhui He
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James M. Murphy
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Nathaniel Trask
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Scott MacLachlan
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Eirik Keilegavlen
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Kent-Andre Mardal
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Miroslav Kuchta
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Li-Ping Liu
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∙ 05/10/2023

Algebraic multigrid methods for metric-perturbed coupled problems

We develop multilevel methods for interface-driven multiphysics problems...

0 Ana Budiša, et al. ∙

∙ 03/31/2023

Parameter-free preconditioning for nearly-incompressible linear elasticity

It is well known that via the augmented Lagrangian method, one can solve...

0 James H. Adler, et al. ∙

∙ 10/24/2022

HAZniCS – Software Components for Multiphysics Problems

We introduce the software toolbox HAZniCS for solving interface-coupled ...

0 Ana Budiša, et al. ∙

∙ 10/20/2022

Structure-Preserving Discretization of Fractional Vector Calculus using Discrete Exterior Calculus

Fractional vector calculus is the building block of the fractional parti...

0 Alon Jacobson, et al. ∙

∙ 09/23/2022

Rational approximation preconditioners for multiphysics problems

We consider a class of mathematical models describing multiphysics pheno...

0 Ana Budiša, et al. ∙

∙ 08/27/2022

Pressure-robust enriched Galerkin methods for the Stokes equations

In this paper, we present a pressure-robust enriched Galerkin (EG) schem...

0 Xiaozhe Hu, et al. ∙

∙ 08/08/2022

A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations

Convection-diffusion equations arise in a variety of applications such a...

0 James H. Adler, et al. ∙

∙ 07/21/2022

A Deep Neural Network/Meshfree Method for Solving Dynamic Two-phase Interface Problems

In this paper, a meshfree method using the deep neural network (DNN) app...

0 Xingwen Zhu, et al. ∙

∙ 07/16/2022

Solving Graph Laplacians via Multilevel Sparsifiers

We consider effective preconditioners for solving Laplacians of general ...

0 Xiaozhe Hu, et al. ∙

∙ 06/07/2022

Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems

Discretization of flow in fractured porous media commonly lead to large ...

0 Xiaozhe Hu, et al. ∙

∙ 03/29/2022

A Multigrid Preconditioner for Spatially Adaptive High-order Meshless Method on Fluid-solid Interaction Problems

We present a monolithic geometric multigrid preconditioner for solving f...

0 Zisheng Ye, et al. ∙

∙ 10/11/2021

An Enriched Galerkin Method for the Stokes Equations

We present a new enriched Galerkin (EG) scheme for the Stokes equations ...

0 Son-Young Yi, et al. ∙

∙ 09/10/2021

An Efficient High-order Numerical Solver for Diffusion Equations with Strong Anisotropy

In this paper, we present an interior penalty discontinuous Galerkin fin...

0 David Green, et al. ∙

∙ 07/08/2021

Monolithic multigrid for a reduced-quadrature discretization of poroelasticity

Advanced finite-element discretizations and preconditioners for models o...

0 James H. Adler, et al. ∙

∙ 06/25/2021

Ladder Polynomial Neural Networks

Polynomial functions have plenty of useful analytical properties, but th...

0 Li-Ping Liu, et al. ∙

∙ 12/22/2020

Enforcing exact physics in scientific machine learning: a data-driven exterior calculus on graphs

As traditional machine learning tools are increasingly applied to scienc...

0 Nathaniel Trask, et al. ∙

∙ 12/05/2020

A finite-element framework for a mimetic finite-difference discretization of Maxwell's equations

Maxwell's equations are a system of partial differential equations that ...

0 James H. Adler, et al. ∙

∙ 07/01/2020

A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians

In this paper, we study a posteriori error estimators which aid multilev...

0 Xiaozhe Hu, et al. ∙

∙ 06/30/2020

Momentum Accelerated Multigrid Methods

In this paper, we propose two momentum accelerated MG cycles. The main i...

0 Chunyan Niu, et al. ∙

∙ 06/18/2020

Well-posedness, discretization and preconditioners for a class of models for mixed-dimensional problems with high dimensional gap

In this work, we illustrate the underlying mathematical structure of mix...

0 Erlend Hodneland, et al. ∙

∙ 06/11/2020

Randomized Fast Subspace Descent Methods

Randomized Fast Subspace Descent (RFASD) Methods are developed and analy...

0 Long Chen, et al. ∙

∙ 05/11/2020

A Mesh-free Method Using Piecewise Deep Neural Network for Elliptic Interface Problems

In this paper, we propose a novel mesh-free numerical method for solving...

0 Cuiyu He, et al. ∙

∙ 03/07/2020

Diffusion State Distances: Multitemporal Analysis, Fast Algorithms, and Applications to Biological Networks

Data-dependent metrics are powerful tools for learning the underlying st...

0 Lenore Cowen, et al. ∙

∙ 10/10/2019

Mixed-Dimensional Auxiliary Space Preconditioners

This work introduces nodal auxiliary space preconditioners for discretiz...

0 Ana Budiša, et al. ∙

∙ 06/19/2019

Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy norm

Algebraic multigrid (AMG) coarse spaces are commonly constructed so that...

0 Xiaozhe Hu, et al. ∙

∙ 08/20/2018

Multi-View Graph Embedding Using Randomized Shortest Paths

Real-world data sets often provide multiple types of information about t...

0 Anuththari Gamage, et al. ∙

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