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Finite Elements

1, 2017

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Local projection stabilization of equal order interpolation applied to the Stokes problem

Mathematics of computation, 2008-10, Vol.77 (264), p.2039-2060

2008

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Finite Elements: Theory and Algorithms

2017

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Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem

Mathematics of computation, 2011-05, Vol.80 (274), p.697-722

2011

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Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors

ESAIM: Mathematical Modelling and Numerical Analysis, 2016-01, Vol.50 (1), p.289-309

2016

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Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem

IMA journal of numerical analysis, 2015-01, Vol.35 (1), p.239-269

2015

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Arbitrary Lagrangian–Eulerian finite-element method for computation of two-phase flows with soluble surfactants

Journal of computational physics, 2012-05, Vol.231 (9), p.3685-3702

2012

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A coupled arbitrary Lagrangian–Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants

Journal of computational physics, 2009-05, Vol.228 (8), p.2859-2873

2009

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The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy

SIAM journal on numerical analysis, 2003-01, Vol.41 (5), p.1620-1642

2003

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Analysis of a new stabilized higher order finite element method for advection–diffusion equations

Computer methods in applied mechanics and engineering, 2006-12, Vol.196 (1), p.538-550

Tobiska, Lutz

2006

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Numerical modeling of the non-isothermal liquid droplet impact on a hot solid substrate

International journal of heat and mass transfer, 2014-11, Vol.78, p.670-687

2014

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On the stability of finite-element discretizations of convection-diffusion-reaction equations

IMA journal of numerical analysis, 2011, Vol.31 (1), p.147-164

2011

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A two-level higher order local projection stabilization on hexahedral meshes

Applied numerical mathematics, 2014-12, Vol.86, p.74-80

Tobiska, Lutz

2014

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An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems

Chemical engineering science, 2012-01, Vol.69 (1), p.59-68

2012

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Numerical simulation of normal-field instability in the static and dynamic case

Journal of magnetism and magnetic materials, 2005-03, Vol.289, p.346-349

2005

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Stabilization by Local Projection for Convection–Diffusion and Incompressible Flow Problems

Journal of scientific computing, 2010-06, Vol.43 (3), p.326-342

2010

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Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems

2. Aufl., 2008

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An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows

International journal for numerical methods in fluids, 2008-04, Vol.57 (2), p.119-138

2008

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Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems

Applied mathematics and computation, 2013-02, Vol.219 (11), p.6182-6196

2013

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On spurious velocities in incompressible flow problems with interfaces

Computer methods in applied mechanics and engineering, 2007-01, Vol.196 (7), p.1193-1202

2007

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On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection–diffusion equations

Computer methods in applied mechanics and engineering, 2009-01, Vol.198 (5), p.831-837

Tobiska, Lutz

2009

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The surface topography of a magnetic fluid: a quantitative comparison between experiment and numerical simulation

Journal of fluid mechanics, 2007-01, Vol.571, p.455-474

2007

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Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems

1, 1996

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Finite element methods of an operator splitting applied to population balance equations

Journal of computational and applied mathematics, 2011-10, Vol.236 (6), p.1604-1621

2011

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Stabilized finite element discretization applied to an operator-splitting method of population balance equations

Applied numerical mathematics, 2013-08, Vol.70, p.58-79

2013

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Finite Elements

Local projection stabilization of equal order interpolation applied to the Stokes problem

Finite Elements: Theory and Algorithms

Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem

Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors

Local projection type stabilization applied to inf-sup stable discretizations of the Oseen problem

Arbitrary Lagrangian–Eulerian finite-element method for computation of two-phase flows with soluble surfactants

A coupled arbitrary Lagrangian–Eulerian and Lagrangian method for computation of free surface flows with insoluble surfactants

The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy

Analysis of a new stabilized higher order finite element method for advection–diffusion equations

Numerical modeling of the non-isothermal liquid droplet impact on a hot solid substrate

On the stability of finite-element discretizations of convection-diffusion-reaction equations

A two-level higher order local projection stabilization on hexahedral meshes

An operator-splitting finite element method for the efficient parallel solution of multidimensional population balance systems

Numerical simulation of normal-field instability in the static and dynamic case

Stabilization by Local Projection for Convection–Diffusion and Incompressible Flow Problems

Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems

An accurate finite element scheme with moving meshes for computing 3D-axisymmetric interface flows

Operator-splitting finite element algorithms for computations of high-dimensional parabolic problems

On spurious velocities in incompressible flow problems with interfaces

On the relationship of local projection stabilization to other stabilized methods for one-dimensional advection–diffusion equations

The surface topography of a magnetic fluid: a quantitative comparison between experiment and numerical simulation

Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems

Finite element methods of an operator splitting applied to population balance equations

Stabilized finite element discretization applied to an operator-splitting method of population balance equations

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