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Learning Adaptive Coarse Spaces of BDDC Algorithms for Stochastic Elliptic Problems with Oscillatory and High Contrast Coefficients

Mathematical and computational applications, 2021-06, Vol.26 (2), p.44

2021

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A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns

International journal for numerical methods in engineering, 2011-12, Vol.88 (13), p.1390-1410

2011

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Domain Decomposition Methods in Science and Engineering XXV

1st Edition 2020, 2020

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A two-level nonoverlapping Schwarz algorithm for the Stokes problem: Numerical study

Computer methods in applied mechanics and engineering, 2012-06, Vol.223-224, p.153-160

2012

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BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients

Journal of computational physics, 2017-11, Vol.349, p.191-214

2017

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Iterative algorithms for partitioned neural network approximation to partial differential equations

Computers & mathematics with applications (1987), 2024-09, Vol.170, p.237-259

2024

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A REGULARIZED CORRECTION METHOD FOR ELLIPTIC PROBLEMS WITH A SINGULAR FORCE

대한수학회지, 2012, 49(5), , pp.927-945

Kim, Hyea-Hyun

2012

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A FETI-DP FORMULATION FOR THE STOKES PROBLEM WITHOUT PRIMAL PRESSURE COMPONENTS

SIAM journal on numerical analysis, 2010-01, Vol.47 (6), p.4142-4162

2010

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An adaptive BDDC method enhanced with prior selected primal constraints

Computers & mathematics with applications (1987), 2020-10, Vol.80 (8), p.1928-1943

2020

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Domain Decomposition Methods in Science and Engineering XXV

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Partitioned neural network approximation for partial differential equations enhanced with Lagrange multipliers and localized loss functions

Computer methods in applied mechanics and engineering, 2024-09, Vol.429, p.117168, Article 117168

2024

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Domain Decomposition Methods in Science and Engineering XXIV

1st ed. 2018., 2019

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Non-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problem

Journal of computational and applied mathematics, 2024-04, Vol.440, p.115640, Article 115640

2024

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A data-driven approach for a macroscopic conductivity model utilizing finite element approximation

Journal of computational physics, 2022-10, Vol.466, p.111394, Article 111394

2022

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A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions

Journal of computational and applied mathematics, 2020-05, Vol.370, p.112600, Article 112600

2020

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Efficient mesh generation utilizing an adaptive body centered cubic mesh

Journal of computational physics, 2021-07, Vol.436, p.110292, Article 110292

2021

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A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients

Multiscale modeling & simulation, 2015-01, Vol.13 (2), p.571-593

2015

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Domain Decomposition Methods in Science and Engineering XXIII

1, 2017

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Approximation of macroscopic conductivity for a multiscale model by using mortar methods

Journal of computational physics, 2017-05, Vol.336, p.275-287

2017

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Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations

Journal of computational physics, 2015-12, Vol.302, p.251-266

2015

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A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes

Computers & mathematics with applications (1987), 2024-05, Vol.162, p.180-195

2024

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Meshless method for the stationary incompressible Navier-Stokes equations

Discrete and continuous dynamical systems. Series B, 2001, Vol.1 (4), p.495-526

2001

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A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations

Journal of scientific computing, 2018-10, Vol.77 (1), p.502-523

2018

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A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions

SIAM journal on numerical analysis, 2005-01, Vol.42 (5), p.2159-2175

2005

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Two-Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements

SIAM journal on numerical analysis, 2006-01, Vol.44 (4), p.1514-1534

2006

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Learning Adaptive Coarse Spaces of BDDC Algorithms for Stochastic Elliptic Problems with Oscillatory and High Contrast Coefficients

A two-level nonoverlapping Schwarz algorithm for the Stokes problem without primal pressure unknowns

Domain Decomposition Methods in Science and Engineering XXV

A two-level nonoverlapping Schwarz algorithm for the Stokes problem: Numerical study

BDDC and FETI-DP preconditioners with adaptive coarse spaces for three-dimensional elliptic problems with oscillatory and high contrast coefficients

Iterative algorithms for partitioned neural network approximation to partial differential equations

A REGULARIZED CORRECTION METHOD FOR ELLIPTIC PROBLEMS WITH A SINGULAR FORCE

A FETI-DP FORMULATION FOR THE STOKES PROBLEM WITHOUT PRIMAL PRESSURE COMPONENTS

An adaptive BDDC method enhanced with prior selected primal constraints

Domain Decomposition Methods in Science and Engineering XXV

Partitioned neural network approximation for partial differential equations enhanced with Lagrange multipliers and localized loss functions

Domain Decomposition Methods in Science and Engineering XXIV

Non-overlapping domain decomposition algorithms with only primal velocity unknowns for the discontinuous viscosity Stokes problem

A data-driven approach for a macroscopic conductivity model utilizing finite element approximation

A two-level overlapping Schwarz method with energy-minimizing multiscale coarse basis functions

Efficient mesh generation utilizing an adaptive body centered cubic mesh

A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients

Domain Decomposition Methods in Science and Engineering XXIII

Approximation of macroscopic conductivity for a multiscale model by using mortar methods

Staggered discontinuous Galerkin methods for the incompressible Navier–Stokes equations

A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes

Meshless method for the stationary incompressible Navier-Stokes equations

A Hybrid Staggered Discontinuous Galerkin Method for KdV Equations

A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions

Two-Level Schwarz Algorithms with Overlapping Subregions for Mortar Finite Elements

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