Long Chen

Seulip Lee

CoRR, 2024

2023

A Family of Immersed Finite Element Spaces and Applications to Three-Dimensional \(\bf{H}(\operatorname{curl})\) Interface Problems.

[BibT_eX]

[DOI]

Jun Zou

SIAM J. Sci. Comput., December, 2023

Finite element de Rham and Stokes complexes in three dimensions.

[BibT_eX]

[DOI]

Math. Comput., August, 2023

Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements.

[BibT_eX]

[DOI]

CoRR, 2023

A Mixed Finite Element Method for the Biharmonic Equation with Hybridization.

[BibT_eX]

[DOI]

CoRR, 2023

Transformer Meets Boundary Value Inverse Problems.

[BibT_eX]

[DOI]

Proceedings of the Eleventh International Conference on Learning Representations, 2023

2022

Finite Elements for div- and divdiv-Conforming Symmetric Tensors in Arbitrary Dimension.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., August, 2022

From differential equation solvers to accelerated first-order methods for convex optimization.

[BibT_eX]

[DOI]

Hao Luo

Math. Program., 2022

A finite element elasticity complex in three dimensions.

[BibT_eX]

[DOI]

Math. Comput., 2022

Finite elements for div div conforming symmetric tensors in three dimensions.

[BibT_eX]

[DOI]

Math. Comput., 2022

Error Analysis of a Decoupled Finite Element Method for Quad-Curl Problems.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

Immersed Virtual Element Methods for Elliptic Interface Problems in Two Dimensions.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

Block triangular preconditioning for stochastic Galerkin method.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2022

Complexes from Complexes: Finite Element Complexes in Three Dimensions.

[BibT_eX]

[DOI]

CoRR, 2022

Finite Element Complexes in Two Dimensions.

[BibT_eX]

[DOI]

CoRR, 2022

A family of immersed finite element spaces and applications to three dimensional H(curl) interface problems.

[BibT_eX]

[DOI]

Jun Zou

CoRR, 2022

Immersed Virtual Element Methods for Maxwell Interface Problems in Three Dimensions.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Geometric Decompositions of Div-Conforming Finite Element Tensors.

[BibT_eX]

[DOI]

CoRR, 2021

Geometric decompositions of the simplicial lattice and smooth finite elements in arbitrary dimension.

[BibT_eX]

[DOI]

CoRR, 2021

Immersed Virtual Element Methods for Elliptic Interface Problems.

[BibT_eX]

[DOI]

CoRR, 2021

Finite elements for divdiv-conforming symmetric tensors in arbitrary dimension.

[BibT_eX]

[DOI]

CoRR, 2021

A Virtual Finite Element Method for Two Dimensional Maxwell Interface Problems with a Background Unfitted Mesh.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Convergence analysis of the Fast Subspace Descent method for convex optimization problems.

[BibT_eX]

[DOI]

Xiaozhe Hu

Steven M. Wise

Math. Comput., 2020

Nonconforming Virtual Element Method for 2mth Order Partial Differential Equations in ℝn.

[BibT_eX]

[DOI]

Math. Comput., 2020

Discrete Hessian complexes in three dimensions.

[BibT_eX]

[DOI]

CoRR, 2020

Convergence and optimality of an adaptive modified weak Galerkin finite element method.

[BibT_eX]

[DOI]

CoRR, 2020

Finite elements for divdiv-conforming symmetric tensors in three dimensions.

[BibT_eX]

[DOI]

CoRR, 2020

Randomized Fast Subspace Descent Methods.

[BibT_eX]

[DOI]

Xiaozhe Hu

Huiwen Wu

CoRR, 2020

Finite elements for divdiv-conforming symmetric tensors.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Anisotropic Error Estimates of the Linear Nonconforming Virtual Element Methods.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2019

A Divergence Free Weak Virtual Element Method for the Stokes Problem on Polytopal Meshes.

[BibT_eX]

[DOI]

Feng Wang

J. Sci. Comput., 2019

2018

Decoupling of Mixed Methods Based on Generalized Helmholtz Decompositions.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Anisotropic Error Estimates of the Linear Virtual Element Method on Polygonal Meshes.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Fast auxiliary space preconditioners for linear elasticity in mixed form.

[BibT_eX]

[DOI]

Jun Hu

Math. Comput., 2018

Multigrid Methods for a Mixed Finite Element Method of the Darcy-Forchheimer Model.

[BibT_eX]

[DOI]

Jian Huang

Hongxing Rui

J. Sci. Comput., 2018

MultiGrid Preconditioners for Mixed Finite Element Methods of the Vector Laplacian.

[BibT_eX]

[DOI]

J. Sci. Comput., 2018

Multigrid Methods for Hellan-Herrmann-Johnson Mixed Method of Kirchhoff Plate Bending Problems.

[BibT_eX]

[DOI]

Jun Hu

J. Sci. Comput., 2018

2017

An interface-fitted mesh generator and virtual element methods for elliptic interface problems.

[BibT_eX]

[DOI]

Huayi Wei

Min Wen

J. Comput. Phys., 2017

Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids inℝn.

[BibT_eX]

[DOI]

Jun Hu

Comput. Methods Appl. Math., 2017

2016

Multilevel methods for nonuniformly elliptic operators and fractional diffusion.

[BibT_eX]

[DOI]

Math. Comput., 2016

Fast Multilevel Solvers for a Class of Discrete Fourth Order Parabolic Problems.

[BibT_eX]

[DOI]

J. Sci. Comput., 2016

Postprocessing Mixed Finite Element Methods For Solving Cahn-Hilliard Equation: Methods and Error Analysis.

[BibT_eX]

[DOI]

Wansheng Wang

Jie Zhou

J. Sci. Comput., 2016

2015

Fast Methods for Computing Centroidal Voronoi Tessellations.

[BibT_eX]

[DOI]

James C. Hateley

Huayi Wei

J. Sci. Comput., 2015

Convergence Analysis of Triangular MAC Schemes for Two Dimensional Stokes Equations.

[BibT_eX]

[DOI]

Ming Wang

Lin Zhong

J. Sci. Comput., 2015

A PDE approach to fractional diffusion: A posteriori error analysis.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

An auxiliary space multigrid preconditioner for the weak Galerkin method.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2015

Multigrid methods for saddle point systems using constrained smoothers.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2015

2014

Adaptive Mesh Refinement and Superconvergence for Two-Dimensional Interface Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems.

[BibT_eX]

[DOI]

Junping Wang

Xiu Ye

J. Sci. Comput., 2014

A simple construction of a Fortin operator for the two dimensional Taylor-Hood element.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2014

2013

Equidistribution and Optimal Approximation Class.

[BibT_eX]

[DOI]

Constantin Bacuta

Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Multigrid Methods for the Stokes Equations using Distributive Gauss-Seidel Relaxations based on the Least Squares Commutator.

[BibT_eX]

[DOI]

Ming Wang

J. Sci. Comput., 2013

2012

Optimal multilevel methods for graded bisection grids.

[BibT_eX]

[DOI]

Ricardo H. Nochetto

Numerische Mathematik, 2012

Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations.

[BibT_eX]

[DOI]

Math. Comput., 2012

Local multilevel preconditioners for elliptic equations with jump coefficients on bisection grids.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2012

2010

Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces.

[BibT_eX]

[DOI]

Huayi Wei

Yunqing Huang

SIAM J. Numer. Anal., 2010

A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2010

Convergence of adaptive edge finite element methods for H(curl)-elliptic problems.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2010

Numerical Studies of Adaptive Finite Element Methods for Two Dimensional Convection-Dominated Problems.

[BibT_eX]

[DOI]

Pengtao Sun

J. Sci. Comput., 2010

2009

Convergence and optimality of adaptive mixed finite element methods.

[BibT_eX]

[DOI]

Michael J. Holst

Math. Comput., 2009

2008

Stability and accuracy of adapted finite element methods for singularly perturbed problems.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

2007

The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation.

[BibT_eX]

[DOI]

Michael J. Holst

SIAM J. Numer. Anal., 2007

Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm.

[BibT_eX]

[DOI]

Pengtao Sun

Math. Comput., 2007

2005

New analysis of the sphere covering problems and optimal polytope approximation of convex bodies.

[BibT_eX]

[DOI]

J. Approx. Theory, 2005

2004

Mesh Smoothing Schemes Based on Optimal Delaunay Triangulations.

[BibT_eX]

[DOI]