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G. Matthies
Nichtkonforme Stromlinien-Diffusions-Methoden
auf gemischten Dreiecks-Vierecks-Gittern
1997, Fakultät für Mathematik,
Otto-von-Guericke-Universität Magdeburg
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G. Matthies
Finite element methods for free boundary value problems with
capillary surfaces
2002, Fakultät für Mathematik,
Otto-von-Guericke-Universität Magdeburg
Published as
book (ISBN 978-3-8322-0863-3) by Shaker Verlag
Aachen.
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L. Tobiska, G. Matthies
A Numerical Study of Local Projection
Stabilisation Applied to Oseen Problems
in: Numerical Mathematics and Advanced Applications,
Proceedings of ENUMATH 2007, the 7th European Conference on
Numerical Mathematics and Advanced Applications, Graz, Austria,
September 2007,
ed. by K. Kunisch, G. Of and O. Steinbach,
Springer-Verlag Berlin Heidelberg, 2008, pp. 489-496.
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S. Ganesan, G. Matthies, L. Tobiska
Local projection stabilization of equal order interpolation
applied to the Stokes problem
Math. Comp., 77 (2008), pp. 2039-2060
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G. Matthies, F. Schieweck
Nonconforming finite elements of higher order
satisfying a new compatibility condition
J. Numer. Math., 16 (2008), pp. 23-50
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Th. Apel, G. Matthies
Nonconforming, anisotropic, rectangular finite elements of arbitrary
order for the Stokes problem
SIAM J. Numer. Anal., 46 (2007), pp. 1867-1891
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O. Lavrova, G. Matthies, L. Tobiska
Numerical study of soliton-like surface configurations on a
magnetic fluid layer in the Rosensweig instability
Commun. Nonlinear Sci. Numer. Simul., 13 (2008), pp. 1302-1310.
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G. Matthies, L. Tobiska
Mass conservation of finite element methods for coupled
flow-transport problems
Int. J. Computing Science and Mathematics, 1 (2007), pp. 293-307.
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H. Knieling, R. Richter, I. Rehberg, G. Matthies,
A. Lange
Growth of surface undulations at the Rosensweig instability
Phys. Rev. E., 76 (2007), 066301.
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L. P. Franca, V. John, G. Matthies, L. Tobiska
An inf-sup stable and residual-free bubble element for the Oseen
equations
SIAM J. Numer. Anal., 45 (2007), pp. 2392-2407.
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G. Matthies
Inf-sup stable nonconforming finite elements of higher order on
quadrilaterals and hexahedra
M2AN Math. Model. Numer. Anal., 41 (2007), pp. 855-874.
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G. Matthies, P. Skrzypacz, L. Tobiska
A unified convergence analysis for local projection stabilisations
applied to the Oseen problem
M2AN Math. Model. Numer. Anal., 41 (2007), pp. 713-742.
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G. Matthies, F. Schieweck
On the reference mapping for quadrilateral and hexahedral
finite elements on multilevel adaptive grids
Computing, 80 (2007), pp. 95-119.
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Chr. Gollwitzer, G. Matthies, R. Richter,
I. Rehberg, L. Tobiska
The surface topography of a magnetic fluid: a quantitative
comparison between experiment and numerical simulation
J. Fluid Mech. 571 (2007), pp. 455-474.
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S. Ganesan, G. Matthies, L. Tobiska
On spurious velocities in incompressible flow problems with interfaces
Comput. Methods Appl. Mech. Engrg. 196 (2007), pp. 1193-1202.
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O. Lavrova, G. Matthies, T. Mitkova, V. Polevikov,
L. Tobiska
Numerical treatment of free surface problems in ferrohydrodynamics
J. Phys.: Condens. Matter 18 (2006), pp. 2657-2669.
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V. John, G. Matthies, J. Rang
A comparison of time-discretization/linearization
approaches for the incompressible Navier-Stokes equations
Comput. Methods Appl. Mech. Engrg. 195 (2006), pp. 5995-6010.
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G. Matthies, F. Schieweck
A Multigrid Method for Incompressible Flow Problems Using Quasi
Divergence Free Functions
SIAM J Sci. Comput., 28 (2006), pp. 141-171.
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G. Matthies, L. Tobiska
Inf-sup stable non-conforming finite elements of
arbitrary order on triangles
Numer. Math., 102 (2005), pp. 293-309.
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G. Matthies, P. Skrzypacz, L. Tobiska
Superconvergence of a 3d finite element method for stationary
Stokes and Navier-Stokes problems
Numer. Meth. Part. Diff. Eq., 21 (2005), pp. 701-725.
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G. Matthies, L. Tobiska
Numerical simulation of normal-field instability in the static
and dynamic case
J. Magn. Magn. Mater., 289 (2005), pp. 346-349.
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G. Matthies, O. Lavrova, L. Tobiska
Numerical simulation of the Rosensweig instability
of ferrorfluids in the static and dynamic case
Oberwolfach Rep., 2 (2005), pp. 483-485.
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O. Lavrova, G. Matthies, V. Polevikov, L. Tobiska
Numerical modeling of the equilibrium shapes
of a ferrofluid drop in an external magnetic
field
Proc. Appl. Math. Mech., 4 (2004), pp. 704-705.
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V. John, G. Matthies
MooNMD - a program package based on mapped
finite element methods
Comput. Vis. Sci., 6 (2004), pp. 163-170.
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U. Krewer, Y. Song, K. Sundmacher;
V. John, R. Lübke, G. Matthies, L. Tobiska
Direct methanol fuel cell (DMFC): analysis of residence
time behaviour of anodic flow bed
Chemical Engineering Science, 59 (2003), pp. 119-130.
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O. Lavrova, G. Matthies, T. Mitkova,
V. Polevikov, L. Tobiska
Finite Element Methods for Coupled Problems in
Ferrohydrodynamics
in: Challenges in Scientific Computing - CISC 2002,
Proceedings of the Conference "Challenges in Scientific
Computing", Berlin, Oct 2-5, 2002,
ed. by E. Bänsch,
vol. 35 of Lecture Notes in Computational Science and
Engineering, Springer-Verlag 2003, pp. 160-183.
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T. Iliescu, V. John, W. J. Layton,
G. Matthies, L. Tobiska
A Numerical Study of a Class of LES Models
Int. J. Comput. Fluid Dyn., 17 (2003), pp. 75-85.
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G. Matthies, L. Tobiska
The inf-sup condition for the mapped
Qk/Pk-1disc element
in arbitrary space dimensions
Computing, 69 (2002), pp. 119-139.
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J. John, P. Knobloch, G. Matthies,
L. Tobiska
Non-nested Multi-level Solvers for Finite Element
Discretisations of Mixed Problems
Computing, 68 (2002), pp. 313-341.
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V. John, G. Matthies
Higher Order Finite Element Discretizations in a
Benchmark Problem for Incompressible Flows
Int. J. Num. Meth. Fluids, 37 (2001), pp. 885-903.
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G. Matthies
Mapped Finite Elements on Hexahedra. Necessary and
Sufficient Conditions for Optimal Interpolation Errors
Numer. Algorithms, 27 (2001), pp. 317-327.
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G. Matthies, L. Tobiska
The Streamline-Diffusion Method for Conforming and
Nonconforming Finite Elements of lowest Order applied to
Convection-Diffusion Problems
Computing, 66 (2001), pp. 343-364.
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G. Matthies
Numerische Lösung der Navier-Stokes-Gleichungen in
Gebieten mit bewegtem Rand
Technische Mechanik 20 (2000), pp. 195-204.
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V. John, G. Matthies, F. Schieweck,
L. Tobiska
A streamline-diffusion method for
nonconforming finite element approximations applied to
convection-diffusion problems
Comput. Methods Appl. Mech. Engrg. 166 (1998), pp. 85-97.
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S. Franz, G. Matthies
Local projection stabilisation on S-type meshes for
convection-diffusion problems with characteristic layers
Preprint MATH-NM-07-2008,
Institut für Numerische Mathematik, Technische Universität Dresden,
2008.
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G. Matthies
Local projection methods on layer-adapted meshes for higher
order discretisations of convection-diffusion problems
Fakultät für Mathematik, Ruhr-Universität Bochum,
2008.
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G. Matthies, L. Tobiska
Local projection type stabilisation applied to inf-sup stable
discretisations of the Oseen problem
Preprint 47/2007, Fakultät für Mathematik,
Otto-von-Guericke-Universität Magdeburg, 2007.
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G. Matthies, P. Skrzypacz, L. Tobiska
Stabilisation of local projection type applied to
convection-diffusion problems with mixed boundary conditions
Preprint 44/2007, Fakultät für Mathematik,
Otto-von-Guericke-Universität Magdeburg, 2007.
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A. Linke, G. Matthies, L. Tobiska
Non-Nested Multi-Grid Solvers for Mixed Divergence-free
Scott-Vogelius Discretizations
Preprint 1261, WIAS Berlin, 2007.
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G. Matthies
Local projection stabilisation for higher order discretisations
of convection-diffusion problems on Shishkin meshes
accepted for Adv. Comput. Math., 2008.
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G. Matthies, G. Lube
On streamline-diffusion methods of inf-sup stable discretisations
of the generalised Oseen problem
Preprint 2007-02, Institut für Numerische und Angewandte Mathematik,
Georg-August-Universität Göttingen, 2007.
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G. Matthies
Mathematische Untersuchung des Verhaltens von
magnetischen Flüssigkeiten
in: Preprint MBI-99-1 (Workshop Gommern 1998) des
Graduiertenkolleg "Modellierung, Berechnung und
Identifikation mechanischer Systeme", 1999,
pp. 39-44.
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V. John, G. Matthies, T.I. Mitkova,
L. Tobiska, P.S. Vassilevski
A Comparison of Three Solvers for the Incompressible
Navier-Stokes Equations
in: Large-Scale Scientific Computations of Engineering and
Environmental Problems,
ed. by M. Griebel, S. Margenov, and P. Yalamov,
vol. 73 of Notes on Numerical Fluid Mechanics,
Vieweg, Braunschweig, 2000, pp. 215-222.
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L. Tobiska, G. Matthies, M. Stynes
Convergence Properties of the
Streamline-Diffusion Finite Element Method on a Shishkin Mesh
for Singularly Perturbed Elliptic Equations with Exponential
Layers
in: Analytical and Numerical Methods for Convection-Dominated
and Singularly Perturbed Problems,
ed. by L. G. Vulkov, J. J. H. Miller, and G. I. Shishkin,
Nova Science Publishers, Inc., New York, 2000, pp. 23-132.
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G. Matthies, L. Tobiska
Simulation of free surfaces of magnetic liquids
in: ALGORITMY 2000, 15th Conference on Scientific
Computing,
ed. by A. Handlovicova, M. Komornikova, K. Mikula,
D. Sevcovic,
Slovak University of Technology, Bratislava, 2000, pp. 1-10.
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G. Matthies, L. Tobiska
Finite Element Discretization for Ferrofluids
in: Proceedings of Fourth International pamir Conference on
Magnetohydrodynamics,
Presqu'ile de Giens, 2000, pp. 787-792.
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G. Matthies, L. Tobiska
Adaptive and Higher Order Finite Elements for
Three-Dimensional Magnetic Field Calculations in
Ferrohydrodynamics
in: Proceedings of the 9th International Conference on
Magnetic Fluids, Bremen, 2001.
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V. John, G. Matthies, L. Tobiska
On Higher Order Finite Element Discretizations for
the Incompressible Navier-Stokes Equations in Three
Dimensions
in: Proceedings of ECCOMAS CFD 2001, Swansea, 2001.
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G. Matthies, L. Tobiska
Mass conservation of finite element methods for coupled
flow-transport problems
Proceedings of the International Conference on Boundary and Interior
Layers BAIL 2006, G. Lube and G. Rapin, eds., 2006.
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A. Lange, H. Langer, A. Engel,
G. Matthies
Dynamik eines einzelnen Ferrofluid-Peaks
Frühjahrstagung der DPG, Münster,
22.-26. März 1999.
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A. Tiefenau, G. Matthies, R. Schäfer,
R. Friedrichs, R. Richer, I. Rehberg
Messung magnetischer Felder in und um den
Rosensweig-Stachel
Frühjahrstagung der DPG, Münster,
22.-26. März 1999.
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G. Matthies, R. Schäfer, L. Tobiska
Magnetic Pressure along the Surface of a Single Peak.
A Numerical Study
Second German Ferrofluid Workshop, Magdeburg,
01.-03. September 1999.
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G. Matthies, L. Tobiska
Streamline-Diffusion Method for conforming and
nonconforming elements of lowest order
EPSICODE 99, Schloß Wendgräben,
20.-23. September 1999.
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V. Behns, V. John, G. Matthies,
F. Schieweck
MooNMD - An Object-Oriented Software Package for Solving
PDE's
EPSICODE 99, Schloß Wendgräben,
20.-23. September 1999.
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G. Matthies, L. Tobiska
Finite Element Discretization for Ferrofluids
Fourth International Pamir Conference on
Magnetohydrodynamics, Presqu'ile de Giens, Frankreich,
18.-22. September 2000.
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G. Matthies, L. Tobiska
Adaptive finite elements of higher order for
ferrofluids
9th International Conference on Magnetic Fluids, Bremen,
23.-27. Juli 2001.
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G. Matthies, L. Tobiska
Numerical simulation of oscillating drops driven by
surface tension
Interphase 2001, 9th Workshop on Numerical Methods for
Free Boundary Problems, College Park, Maryland,
January 9-12, 2002.
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G. Matthies, L. Tobiska
Algorithms and Error Analysis of Finite Element Methods fof
the Rosensweig Instability
4. Ferrofluid-Workshop, Berlin, July 5 - 7, 2002
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