Ludmil T. Zikatanov

CoRR, 2024

Reduced Krylov Basis Methods for Parametric Partial Differential Equations.

[BibT_eX]

[DOI]

Cheng Zuo

CoRR, 2024

A local Fourier analysis for additive Schwarz smoothers.

[BibT_eX]

[DOI]

Álvaro Pé de la Riva

Carmen Rodrigo

James H. Adler

Comput. Math. Appl., 2024

Weakly Coupled Systems of Eikonal Equations in Path-Planning Problems.

[BibT_eX]

[DOI]

Maria Teresa Chiri

Kenneth D. Czuprynski

Proceedings of the American Control Conference, 2024

2023

HAZniCS - Software Components for Multiphysics Problems.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., December, 2023

Automatic coarsening in Algebraic Multigrid utilizing quality measures for matching-based aggregations.

[BibT_eX]

[DOI]

Comput. Math. Appl., August, 2023

A reduced conjugate gradient basis method for fractional diffusion.

[BibT_eX]

[DOI]

Cheng Zuo

CoRR, 2023

2022

Locking-Free Enriched Galerkin Method for Linear Elasticity.

[BibT_eX]

[DOI]

Son-Young Yi

Sanghyun Lee

SIAM J. Numer. Anal., 2022

Rational Approximation Preconditioners for Multiphysics Problems.

[BibT_eX]

[DOI]

Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022

2021

A Posteriori Error Estimates for Multilevel Methods for Graph Laplacians.

[BibT_eX]

[DOI]

Kaiyi Wu

SIAM J. Sci. Comput., 2021

A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2021

Energetic stable discretization for non-isothermal electrokinetics model.

[BibT_eX]

[DOI]

Simo Wu

Chun Liu

J. Comput. Phys., 2021

Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations.

[BibT_eX]

[DOI]

Chunmei Wang

J. Comput. Appl. Math., 2021

An Enriched Galerkin Method for the Stokes Equations.

[BibT_eX]

[DOI]

CoRR, 2021

Neural networks with trainable matrix activation functions.

[BibT_eX]

[DOI]

Zhengqi Liu

CoRR, 2021

New stabilized P1×P0 finite element methods for nearly inviscid and incompressible flows.

[BibT_eX]

[DOI]

CoRR, 2021

A posteriori error estimates of finite element methods by preconditioning.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2021

2020

Robust Preconditioners for a New Stabilized Discretization of the Poroelastic Equations.

[BibT_eX]

[DOI]

J. H. Adler

SIAM J. Sci. Comput., 2020

Fast auxiliary space preconditioners on surfaces.

[BibT_eX]

[DOI]

CoRR, 2020

Nodal auxiliary a posteriori error estimates.

[BibT_eX]

[DOI]

CoRR, 2020

On the unisolvence for the quasi-polynomial spaces of differential forms.

[BibT_eX]

[DOI]

Shuonan Wu

CoRR, 2020

Auxiliary space preconditioning for mixed finite element discretizations of Richards' equation.

[BibT_eX]

[DOI]

Juan Batista

Comput. Math. Appl., 2020

2019

An Adaptive Multigrid Method Based on Path Cover.

[BibT_eX]

[DOI]

Junyuan Lin

SIAM J. Sci. Comput., 2019

Residual-based a posteriori error estimates of mixed methods in Biot's consolidation model.

[BibT_eX]

[DOI]

CoRR, 2019

2018

Adaptive aggregation on graphs.

[BibT_eX]

[DOI]

Wenfang Xu

J. Comput. Appl. Math., 2018

New Stabilized Discretizations for Poroelasticity Equations.

[BibT_eX]

[DOI]

Proceedings of the Numerical Methods and Applications - 9th International Conference, 2018

2017

Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions.

[BibT_eX]

[DOI]

J. H. Adler

SIAM J. Sci. Comput., 2017

A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems.

[BibT_eX]

[DOI]

J. Sci. Comput., 2017

A nonconforming finite element method for the Biot's consolidation model in poroelasticity.

[BibT_eX]

[DOI]

Carmen Rodrigo

J. Comput. Appl. Math., 2017

Arbitrary dimension convection-diffusion schemes for space-time discretizations.

[BibT_eX]

[DOI]

Randolph E. Bank

J. Comput. Appl. Math., 2017

Algebraic multigrid methods.

[BibT_eX]

[DOI]

Acta Numer., 2017

Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017

Fourier Method for Approximating Eigenvalues of Indefinite Stekloff Operator.

[BibT_eX]

[DOI]

Yangqingxiang Wu

Proceedings of the High Performance Computing in Science and Engineering, 2017

2016

Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

2015

A finite element framework for some mimetic finite difference discretizations.

[BibT_eX]

[DOI]

Carmen Rodrigo

Comput. Math. Appl., 2015

A two-level method for mimetic finite difference discretizations of elliptic problems.

[BibT_eX]

[DOI]

Paola F. Antonietti

Marco Verani

Comput. Math. Appl., 2015

Fast Constrained Image Segmentation Using Optimal Spanning Trees.

[BibT_eX]

[DOI]

Stanislav Harizanov

Svetozar Margenov

Proceedings of the Large-Scale Scientific Computing - 10th International Conference, 2015

2014

Commuting projections on graphs.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2014

Multilevel preconditioners for discontinuous, Galerkin approximations of elliptic problems, with jump coefficients.

[BibT_eX]

[DOI]

Math. Comput., 2014

A Simple Preconditioner for a Discontinuous Galerkin Method for the Stokes Problem.

[BibT_eX]

[DOI]

J. Sci. Comput., 2014

2013

A Subspace Correction Method for Nearly Singular Linear Elasticity Problems.

[BibT_eX]

[DOI]

Erwin Karer

Johannes K. Kraus

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

A Block Solver for the Exponentially Fitted IIPG-0 Method.

[BibT_eX]

[DOI]

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

Multigrid Preconditioner for Nonconforming Discretization of Elliptic Problems with Jump Coefficients.

[BibT_eX]

[DOI]

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

An Algebraic Multigrid Method Based on Matching in Graphs.

[BibT_eX]

[DOI]

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

Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations.

[BibT_eX]

[DOI]

J. H. Adler

V. Petkov

SIAM J. Sci. Comput., 2013

Algebraic Multilevel Preconditioners for the Graph Laplacian Based on Matching in Graphs.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids.

[BibT_eX]

[DOI]

Guozhu Yu

Numer. Linear Algebra Appl., 2013

Combined Preconditioning with Applications in Reservoir Simulation.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2013

2012

Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids.

[BibT_eX]

[DOI]

Robert Scheichl

SIAM J. Numer. Anal., 2012

An algebraic multilevel method for anisotropic elliptic equations based on subgraph matching.

[BibT_eX]

[DOI]

James J. Brannick

Yao Chen

Numer. Linear Algebra Appl., 2012

Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2012

Polynomial of Best Uniform Approximation to 1/x and Smoothing in Two-level Methods.

[BibT_eX]

[DOI]

Johannes Kraus

Comput. Methods Appl. Math., 2012

2011

Weak Approximation Properties of Elliptic Projections with Functional Constraints.

[BibT_eX]

[DOI]

Robert Scheichl

Multiscale Model. Simul., 2011

First-order system least squares and the energetic variational approach for two-phase flow.

[BibT_eX]

[DOI]

J. Comput. Phys., 2011

2010

A Simple Preconditioner for the SIPG Discretization of Linear Elasticity Equations.

[BibT_eX]

[DOI]

Proceedings of the Numerical Methods and Applications - 7th International Conference, 2010

2009

Uniformly Convergent Iterative Methods for Discontinuous Galerkin Discretizations.

[BibT_eX]

[DOI]

Blanca Ayuso de Dios

J. Sci. Comput., 2009

2008

Multilevel Preconditioning Methods for Discrete Models of Lattice Block Materials.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

Two-sided bounds on the convergence rate of two-level methods.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2008

Advanced multigrid methods for systems of PDEs.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2008

Uniform convergence of the multigrid V-cycle on graded meshes for corner singularities.

[BibT_eX]

[DOI]

James J. Brannick

Hengguang Li

Numer. Linear Algebra Appl., 2008

A sharp convergence estimate for the method of subspace corrections for singular systems of equations.

[BibT_eX]

[DOI]

Math. Comput., 2008

2007

A multilevel preconditioning for generalized finite element method problems on unstructured simplicial meshes.

[BibT_eX]

[DOI]

Durkbin Cho

J. Num. Math., 2007

2006

Multiple Vector Preserving Interpolation Mappings in Algebraic Multigrid.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

On the Convergence of Iterative Methods for Semidefinite Linear Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2006

Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations.

[BibT_eX]

[DOI]

Veselin Dobrev

Raytcho D. Lazarov

Numer. Linear Algebra Appl., 2006

2005

Improving the rate of convergence of 'high order finite elements' on polygons and domains with cusps.

[BibT_eX]

[DOI]

Constantin Bacuta

Victor Nistor

Numerische Mathematik, 2005

On two-grid convergence estimates.

[BibT_eX]

[DOI]

Robert D. Falgout

Numer. Linear Algebra Appl., 2005

Partition of unity method on nonmatching grids for the Stokes problem.

[BibT_eX]

[DOI]

J. Num. Math., 2005

2004

Uniformly Convergent Multigrid Methods for Convection-Diffusion Problems without Any Constraint on Coarse Grids.

[BibT_eX]

[DOI]

Hwanho Kim

Adv. Comput. Math., 2004

2003

Some observations on Babu\vs}ka and Brezzi theories.

[BibT_eX]

[DOI]

Numerische Mathematik, 2003

A multigrid method based on graph matching for convection-diffusion equations.

[BibT_eX]

[DOI]

Hwanho Kim

Numer. Linear Algebra Appl., 2003

1999

A monotone finite element scheme for convection-diffusion equations.

[BibT_eX]

[DOI]

Math. Comput., 1999

1997

Circulant Block-Factorization Preconditioning of Anisotropic Elliptic Problems.

[BibT_eX]

[DOI]

Ivan Lirkov

Svetozar Margenov