Maxim A. Olshanskii

SIAM J. Sci. Comput., 2024

A narrow band finite element method for the level set equation.

[BibT_eX]

[DOI]

Paul Schwering

CoRR, 2024

A conservative Eulerian finite element method for transport and diffusion in moving domains.

[BibT_eX]

[DOI]

Henry von Wahl

CoRR, 2024

An adaptive stabilized trace finite element method for surface PDEs.

[BibT_eX]

[DOI]

Timo Heister

Comput. Math. Appl., 2024

2023

A Scalar Auxiliary Variable Unfitted FEM for the Surface Cahn-Hilliard Equation.

[BibT_eX]

[DOI]

Yerbol Palzhanov

J. Sci. Comput., December, 2023

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces.

[BibT_eX]

[DOI]

Paul Schwering

Math. Comput., 2023

Analysis of a tensor POD-ROM for parameter dependent parabolic problems.

[BibT_eX]

[DOI]

Alexander V. Mamonov

CoRR, 2023

Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form.

[BibT_eX]

[DOI]

CoRR, 2023

On fusogenicity of positively charged phased-separated lipid vesicles: experiments and computational simulations.

[BibT_eX]

[DOI]

CoRR, 2023

An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain.

[BibT_eX]

[DOI]

Michael Neilan

CoRR, 2023

2022

Recycling augmented Lagrangian preconditioner in an incompressible fluid solver.

[BibT_eX]

[DOI]

Alexander Zhiliakov

Numer. Linear Algebra Appl., 2022

Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations.

[BibT_eX]

[DOI]

Alexander Zhiliakov

CoRR, 2022

A Finite Element Method for Two-Phase Flow with Material Viscous Interface.

[BibT_eX]

[DOI]

Qi Sun

Comput. Methods Appl. Math., 2022

2021

Inf-sup stability of the trace P<sub>2</sub>-P<sub>1</sub> Taylor-Hood elements for surface PDEs.

[BibT_eX]

[DOI]

Alexander Zhiliakov

Math. Comput., 2021

An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases.

[BibT_eX]

[DOI]

Qi Sun

J. Sci. Comput., 2021

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation.

[BibT_eX]

[DOI]

J. Num. Math., 2021

Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation.

[BibT_eX]

[DOI]

CoRR, 2021

Interpolatory tensorial reduced order models for parametric dynamical systems.

[BibT_eX]

[DOI]

Alexander V. Mamonov

CoRR, 2021

A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds.

[BibT_eX]

[DOI]

Yerbol Palzhanov

CoRR, 2021

A CutFEM divergence-free discretization for the Stokes problem.

[BibT_eX]

[DOI]

Haoran Liu

Michael Neilan

CoRR, 2021

A monolithic fluid-porous structure interaction finite element method.

[BibT_eX]

[DOI]

Alexander Lozovskiy

CoRR, 2021

A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow.

[BibT_eX]

[DOI]

CoRR, 2021

A finite element method for Allen-Cahn equation on deforming surface.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2021

2020

New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem.

[BibT_eX]

[DOI]

Ernesto Cáceres

Johnny Guzmán

SIAM J. Numer. Anal., 2020

Numerical modeling of phase separation on dynamic surfaces.

[BibT_eX]

[DOI]

J. Comput. Phys., 2020

An unfitted finite element method for the Darcy problem in a fracture network.

[BibT_eX]

[DOI]

Alexey Y. Chernyshenko

J. Comput. Appl. Math., 2020

Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes.

[BibT_eX]

[DOI]

CoRR, 2020

Error analysis of higher order trace finite element methods for the surface Stokes equations.

[BibT_eX]

[DOI]

CoRR, 2020

Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation.

[BibT_eX]

[DOI]

CoRR, 2020

2019

A higher order approximate static condensation method for multi-material diffusion problems.

[BibT_eX]

[DOI]

Alexander Z. Zinchenko

J. Comput. Phys., 2019

Numerical modelling of phase separation on dynamic surfaces.

[BibT_eX]

[DOI]

CoRR, 2019

2018

A Finite Element Method for the Surface Stokes Problem.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces.

[BibT_eX]

[DOI]

Christoph Lehrenfeld

SIAM J. Numer. Anal., 2018

A Trace Finite Element Method for Vector-Laplacians on Surfaces.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2018

Inf-sup stability of geometrically unfitted Stokes finite elements.

[BibT_eX]

[DOI]

Johnny Guzmán

Math. Comput., 2018

A hybrid finite volume - finite element method for bulk-surface coupled problems.

[BibT_eX]

[DOI]

Alexey Y. Chernyshenko

J. Comput. Phys., 2018

2017

A Trace Finite Element Method for PDEs on Evolving Surfaces.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations.

[BibT_eX]

[DOI]

Timo Heister

Numerische Mathematik, 2017

LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations.

[BibT_eX]

[DOI]

Igor N. Konshin

Numer. Linear Algebra Appl., 2017

On conservation laws of Navier-Stokes Galerkin discretizations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2017

2016

Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces.

[BibT_eX]

[DOI]

Danil Safin

Math. Comput., 2016

2015

ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier-Stokes Equations.

[BibT_eX]

[DOI]

Igor N. Konshin

SIAM J. Sci. Comput., 2015

A Splitting Method for Numerical Simulation of Free Surface Flows of Incompressible Fluids with Surface Tension.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2015

2014

An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Iterative Methods for Linear Systems - Theory and Applications.

[BibT_eX]

[DOI]

Evgenii Evgenvich Tyrtyshnikov

SIAM, ISBN: 978-1-61197-345-7, 2014

2013

A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides.

[BibT_eX]

[DOI]

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012

An Adaptive Surface Finite Element Method Based on Volume Meshes.

[BibT_eX]

[DOI]

Alan Demlow

SIAM J. Numer. Anal., 2012

Multigrid analysis for the time dependent Stokes problem.

[BibT_eX]

[DOI]

Math. Comput., 2012

On surface meshes induced by level set functions.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2012

2011

On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form.

[BibT_eX]

[DOI]

Hyesuk K. Lee

SIAM J. Numer. Anal., 2011

Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem.

[BibT_eX]

[DOI]

Michele Benzi

SIAM J. Numer. Anal., 2011

On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2011

2010

Acquired Clustering Properties and Solution of Certain Saddle Point Systems.

[BibT_eX]

[DOI]

Valeria Simoncini

SIAM J. Matrix Anal. Appl., 2010

A finite element method for surface PDEs: matrix properties.

[BibT_eX]

[DOI]

Numerische Mathematik, 2010

Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2010

2009

An Iterative Method for the Stokes-Type Problem with Variable Viscosity.

[BibT_eX]

[DOI]

Piotr P. Grinevich

SIAM J. Sci. Comput., 2009

A Finite Element Method for Elliptic Equations on Surfaces.

[BibT_eX]

[DOI]

Jörg Grande

SIAM J. Numer. Anal., 2009

On the accuracy of the rotation form in simulations of the Navier-Stokes equations.

[BibT_eX]

[DOI]

J. Comput. Phys., 2009

2008

An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability.

[BibT_eX]

[DOI]

Michele Benzi

SIAM J. Sci. Comput., 2008

2007

Pressure Schur Complement Preconditioners for the Discrete Oseen Problem.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2007

2006

An Augmented Lagrangian-Based Approach to the Oseen Problem.

[BibT_eX]

[DOI]

Michele Benzi

SIAM J. Sci. Comput., 2006

Analysis of a Stokes interface problem.

[BibT_eX]

[DOI]

Numerische Mathematik, 2006

Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations.

[BibT_eX]

[DOI]

Jörg Peters

Numerische Mathematik, 2006

2004

Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2004

Grad-div stablilization for Stokes equations.

[BibT_eX]

[DOI]

Math. Comput., 2004

2002

Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2002

2000

Effective preconditioning of Uzawa type schemes for a generalized Stokes problem.

[BibT_eX]

[DOI]

Georgij M. Kobelkov

Numerische Mathematik, 2000

On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems.

[BibT_eX]

[DOI]

Computing, 2000

1999

An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations.

[BibT_eX]

[DOI]