Strong and Weak Norm Refinement Indicators Based on the Finite Element Residual for Compressible Flow Computation : I. The Steady Case. - Thomas Sonar (IMPACT Comput. Sci. Eng., 1993)

On the design of an upwind scheme for compressible flow on general triangulations. - Thomas Sonar (Numer. Algorithms, 1993)

On the comparison of four different implementations of a third-order ENO scheme of box type for the computation of compressible flow. - Dietmar Hietel; Andreas Meister 003; Thomas Sonar (Numer. Algorithms, 1996)

Generalized multiresolution analysis on unstructured grids. - Friederike Schröder-Pander; Thomas Sonar; Oliver Friedrich (Numerische Mathematik, 2000)

Entropy-Controlled Artificial Anisotropic Diffusion for the Numerical Solution of Conservation Laws Based on Algorithms from Image Processing. - Thorsten Grahs; Thomas Sonar (J. Vis. Commun. Image Represent., 2002)

Image Processing for Numerical Approximations of Conservation Laws: Nonlinear Anisotropic Artificial Dissipation. - Thorsten Grahs; Andreas Meister 003; Thomas Sonar (SIAM J. Sci. Comput., 2002)

Stabilised Nonlinear Inverse Diffusion for Approximating Hyperbolic PDEs. - Michael Breuß; Thomas Brox; Thomas Sonar; Joachim Weickert (Scale-Space, 2005)

Numerical aspects of TV flow. - Michael Breuß; Andrea Bürgel; Thomas Brox; Thomas Sonar; Joachim Weickert (Numer. Algorithms, 2006)

A comparison of the Discontinuous-Galerkin- and Spectral-Difference-Method on triangulations using PKD polynomials. - Andreas Meister 003; Sigrun Ortleb; Thomas Sonar; Martina Wirz (J. Comput. Phys., 2012)

Spectral convergence for orthogonal polynomials on triangles. - Philipp Öffner; Thomas Sonar (Numerische Mathematik, 2013)

Summation-by-parts operators for correction procedure via reconstruction. - Hendrik Ranocha; Philipp Öffner; Thomas Sonar (J. Comput. Phys., 2016)

Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. - Hendrik Ranocha; Philipp Öffner; Thomas Sonar (J. Comput. Phys., 2017)

Application of modal filtering to a spectral difference method. - Jan Glaubitz; Philipp Öffner; Thomas Sonar (Math. Comput., 2018)

Entropy-aware non-oscillatory high-order finite volume methods using the Dafermos entropy rate criterion. - Simon-Christian Klein; Thomas Sonar (CoRR, 2023)