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Thomas Sonar
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- affiliation: TU Braunschweig, Computational Mathematics, Germany
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2020 – today
- 2023
- [i1]Simon-Christian Klein, Thomas Sonar:
Entropy-aware non-oscillatory high-order finite volume methods using the Dafermos entropy rate criterion. CoRR abs/2302.08971 (2023)
2010 – 2019
- 2018
- [j12]Jan Glaubitz, Philipp Öffner, Thomas Sonar:
Application of modal filtering to a spectral difference method. Math. Comput. 87(309): 175-207 (2018) - 2017
- [j11]Hendrik Ranocha, Philipp Öffner, Thomas Sonar:
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. J. Comput. Phys. 342: 13-28 (2017) - 2016
- [j10]Hendrik Ranocha, Philipp Öffner, Thomas Sonar:
Summation-by-parts operators for correction procedure via reconstruction. J. Comput. Phys. 311: 299-328 (2016) - 2013
- [j9]Philipp Öffner, Thomas Sonar:
Spectral convergence for orthogonal polynomials on triangles. Numerische Mathematik 124(4): 701-721 (2013) - 2012
- [j8]Andreas Meister, Sigrun Ortleb, Thomas Sonar, Martina Wirz:
A comparison of the Discontinuous-Galerkin- and Spectral-Difference-Method on triangulations using PKD polynomials. J. Comput. Phys. 231(23): 7722-7729 (2012)
2000 – 2009
- 2006
- [j7]Michael Breuß, Andrea Bürgel, Thomas Brox, Thomas Sonar, Joachim Weickert:
Numerical aspects of TV flow. Numer. Algorithms 41(1): 79-101 (2006) - 2005
- [c1]Michael Breuß, Thomas Brox, Thomas Sonar, Joachim Weickert:
Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs. Scale-Space 2005: 536-547 - 2002
- [j6]Thorsten Grahs, Thomas Sonar:
Entropy-Controlled Artificial Anisotropic Diffusion for the Numerical Solution of Conservation Laws Based on Algorithms from Image Processing. J. Vis. Commun. Image Represent. 13(1-2): 176-194 (2002) - [j5]Thorsten Grahs, Andreas Meister, Thomas Sonar:
Image Processing for Numerical Approximations of Conservation Laws: Nonlinear Anisotropic Artificial Dissipation. SIAM J. Sci. Comput. 23(5): 1439-1455 (2002) - 2000
- [j4]Friederike Schröder-Pander, Thomas Sonar, Oliver Friedrich:
Generalized multiresolution analysis on unstructured grids. Numerische Mathematik 86(4): 685-715 (2000)
1990 – 1999
- 1996
- [j3]Dietmar Hietel, Andreas Meister, Thomas Sonar:
On the comparison of four different implementations of a third-order ENO scheme of box type for the computation of compressible flow. Numer. Algorithms 13(1): 77-105 (1996) - 1993
- [j2]Thomas Sonar:
Strong and Weak Norm Refinement Indicators Based on the Finite Element Residual for Compressible Flow Computation : I. The Steady Case. IMPACT Comput. Sci. Eng. 5(2): 111-127 (1993) - [j1]Thomas Sonar:
On the design of an upwind scheme for compressible flow on general triangulations. Numer. Algorithms 4(1): 135-149 (1993)
Coauthor Index
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