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Finite Element Methods for Incompressible Flow Problems

John, Volker

1, 2016

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Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?

Computing and visualization in science, 2018-12, Vol.19 (5-6), p.47-63

2018

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On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

SIAM review, 2017, Vol.59 (3), p.492-544

2017

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On algebraically stabilized schemes for convection–diffusion–reaction problems

Numerische Mathematik, 2022-11, Vol.152 (3), p.553-585

2022

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On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I – A review

Computer methods in applied mechanics and engineering, 2007-03, Vol.196 (17), p.2197-2215

2007

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Analysis of the grad-div stabilization for the time-dependent Navier–Stokes equations with inf-sup stable finite elements

Advances in computational mathematics, 2018-02, Vol.44 (1), p.195-225

2018

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On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations

Mathematics of computation, 2021-03, Vol.90 (328), p.595-611

2021

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Impact of turbulence modeling on the simulation of blood flow in aortic coarctation

International journal for numerical methods in biomedical engineering, 2023-05, Vol.39 (5), p.e3695-n/a

2023

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A unified analysis of algebraic flux correction schemes for convection–diffusion equations

SeMA journal, 2018-12, Vol.75 (4), p.655-685

2018

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ANALYSIS OF THE PRESSURE STABILIZED PETROV–GALERKIN METHOD FOR THE EVOLUTIONARY STOKES EQUATIONS AVOIDING TIME STEP RESTRICTIONS

SIAM journal on numerical analysis, 2015-01, Vol.53 (2), p.1005-1031

2015

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Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier–Stokes equations

Journal of mathematics in industry, 2021-06, Vol.11 (1), p.1-22, Article 10

2021

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Finite element methods for time-dependent convection–diffusion–reaction equations with small diffusion

Computer methods in applied mechanics and engineering, 2008-12, Vol.198 (3), p.475-494

2008

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On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection–diffusion equations

Journal of computational and applied mathematics, 2021-09, Vol.393, p.113487, Article 113487

2021

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An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows

Computer methods in applied mechanics and engineering, 2020-06, Vol.365, p.112997, Article 112997

2020

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Adaptive time step control for higher order variational time discretizations applied to convection–diffusion–reaction equations

Computer methods in applied mechanics and engineering, 2015-03, Vol.285, p.83-101

2015

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Existence of solutions of a finite element flux-corrected-transport scheme

Applied mathematics letters, 2021-05, Vol.115, p.106932, Article 106932

2021

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Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations

SIAM review, 2024-03, Vol.66 (1), p.3-88

2024

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On large Eddy simulation and variational multiscale methods in the numerical simulation of turbulent incompressible flows

Applications of mathematics (Prague), 2006-08, Vol.51 (4), p.321-353

John, Volker

2006

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The VMS workshop series

SeMA journal, 2018-12, Vol.75 (4), p.569-571

2018

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ANALYSIS OF ALGEBRAIC FLUX CORRECTION SCHEMES

SIAM journal on numerical analysis, 2016-01, Vol.54 (4), p.2427-2451

2016

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On a technique for reducing spurious oscillations in DG solutions of convection–diffusion equations

Applied mathematics letters, 2022-07, Vol.129, p.107969, Article 107969

2022

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On (essentially) non-oscillatory discretizations of evolutionary convection–diffusion equations

Journal of computational physics, 2012-02, Vol.231 (4), p.1570-1586

2012

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A numerical investigation of velocity–pressure reduced order models for incompressible flows

Journal of computational physics, 2014-02, Vol.259, p.598-616

2014

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Pressure-robust L 2 ( Ω ) error analysis for Raviart–Thomas enriched Scott–Vogelius pairs

Applied mathematics letters, 2024-10, Vol.156, p.109138, Article 109138

2024

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Pressure-robust L2(Ω) error analysis for Raviart–Thomas enriched Scott–Vogelius pairs

Applied mathematics letters, 2024-10, Vol.156, Article 109138

2024

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Finite Element Methods for Incompressible Flow Problems

Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?

On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows

On algebraically stabilized schemes for convection–diffusion–reaction problems

On spurious oscillations at layers diminishing (SOLD) methods for convection–diffusion equations: Part I – A review

Analysis of the grad-div stabilization for the time-dependent Navier–Stokes equations with inf-sup stable finite elements

On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations

Impact of turbulence modeling on the simulation of blood flow in aortic coarctation

A unified analysis of algebraic flux correction schemes for convection–diffusion equations

ANALYSIS OF THE PRESSURE STABILIZED PETROV–GALERKIN METHOD FOR THE EVOLUTIONARY STOKES EQUATIONS AVOIDING TIME STEP RESTRICTIONS

Optimal control of buoyancy-driven liquid steel stirring modeled with single-phase Navier–Stokes equations

Finite element methods for time-dependent convection–diffusion–reaction equations with small diffusion

On reducing spurious oscillations in discontinuous Galerkin (DG) methods for steady-state convection–diffusion equations

An assessment of two classes of variational multiscale methods for the simulation of incompressible turbulent flows

Adaptive time step control for higher order variational time discretizations applied to convection–diffusion–reaction equations

Existence of solutions of a finite element flux-corrected-transport scheme

Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations

On large Eddy simulation and variational multiscale methods in the numerical simulation of turbulent incompressible flows

The VMS workshop series

ANALYSIS OF ALGEBRAIC FLUX CORRECTION SCHEMES

On a technique for reducing spurious oscillations in DG solutions of convection–diffusion equations

On (essentially) non-oscillatory discretizations of evolutionary convection–diffusion equations

A numerical investigation of velocity–pressure reduced order models for incompressible flows

Pressure-robust L 2 ( Ω ) error analysis for Raviart–Thomas enriched Scott–Vogelius pairs

Pressure-robust L2(Ω) error analysis for Raviart–Thomas enriched Scott–Vogelius pairs

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