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Thomas Sonar
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Asymptotic adaptive methods for multi-scale problems in fluid mechanics
R Klein, N Botta, T Schneider, CD Munz, S Roller, A Meister, L Hoffmann, ...
Journal of Engineering Mathematics 39, 261-343, 2001
2062001
On the construction of essentially non-oscillatory finite volume approximations to hyperbolic conservation laws on general triangulations: polynomial recovery, accuracy and …
T Sonar
Computer methods in applied mechanics and engineering 140 (1-2), 157-181, 1997
1491997
Summation-by-parts operators for correction procedure via reconstruction
H Ranocha, P Öffner, T Sonar
Journal of Computational Physics 311, 299-328, 2016
1342016
Handbook of geomathematics
W Freeden, MZ Nashed, T Sonar
Springer Science & Business Media, 2010
952010
On the structure of function spaces in optimal recovery of point functionals for ENO-schemes by radial basis functions
A Iske, T Sonar
Numerische Mathematik 74 (2), 177-201, 1996
781996
Mathematical models of fluid dynamics: Modelling, theory, basic numerical facts-An introduction
R Ansorge, T Sonar
John Wiley & Sons, 2009
772009
3000 Jahre Analysis
T Sonar
76*2016
Aufgaben und Lösungen zu Mathematik für Ingenieure
R Ansorge, HJ Oberle, K Rothe, T Sonar
73*2011
Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws
T Sonar
IMA Journal of Numerical Analysis 16 (4), 549-581, 1996
731996
Finite volume methods for hyperbolic conservation laws
KW Morton, T Sonar
Acta Numerica 16, 155-238, 2007
582007
A dual graph-norm refinement indicator for finite volume approximations of the Euler equations
T Sonar, E Süli
Numerische Mathematik 78 (4), 619-658, 1998
581998
Angewandte Mathematik, Modellbildung und Informatik
T Sonar
Vieweg+ Teubner Verlag, 2001
562001
Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators
H Ranocha, J Glaubitz, P Öffner, T Sonar
Applied Numerical Mathematics 128, 1-23, 2018
482018
Mehrdimensionale ENO-Verfahren: Zur Konstruktion nichtoszillatorischer Methoden für hyberbolische Erhaltungsgleichungen
T Sonar
Springer-Verlag, 2013
482013
Strong and Weak Norm Refinement Indicators Based on the Finite Element Residual for Compressible Flow Computation: I. The Steady Case
T Sonar
IMPACT of Computing in Science and Engineering 5 (2), 111-127, 1993
471993
On the use of Mühlbach expansions in the recovery step of ENO methods
R Abgrall, T Sonar
Numerische Mathematik 76 (1), 1-25, 1997
431997
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians
H Ranocha, P Öffner, T Sonar
Journal of Computational Physics 342, 13-28, 2017
392017
Finite-volume schemes for compressible fluid flow Schneider, R, s Munz, CD Sonar, T, s Meister, A
A Meister, T Sonar
Surveys on Mathematics for Industry 8 (3), 1-36, 1998
351998
On families of pointwise optimal finite volume ENO approximations
T Sonar
SIAM journal on numerical analysis 35 (6), 2350-2369, 1998
311998
Application of modal filtering to a spectral difference method
J Glaubitz, P Öffner, T Sonar
Mathematics of Computation 87 (309), 175-207, 2018
292018
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