Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics J Giesselmann, C Lattanzio, AE Tzavaras Archive for Rational Mechanics and Analysis 223, 1427-1484, 2017 | 71 | 2017 |
A quasi-incompressible diffuse interface model with phase transition GL Aki, W Dreyer, J Giesselmann, C Kraus Mathematical Models and Methods in Applied Sciences 24 (05), 827-861, 2014 | 53 | 2014 |
Sediment transport modelling: Relaxation schemes for Saint-Venant--Exner and three layer models E Audusse, C Chalons, O Delestre, N Goutal, M Jodeau, J Sainte-Marie, ... | 44 | 2012 |
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws J Giesselmann, C Makridakis, T Pryer SIAM Journal on Numerical Analysis 53 (3), 1280-1303, 2015 | 40 | 2015 |
Energy consistent discontinuous Galerkin methods for the Navier–Stokes–Korteweg system J Giesselmann, C Makridakis, T Pryer Mathematics of Computation 83 (289), 2071-2099, 2014 | 40 | 2014 |
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model J Giesselmann, T Pryer ESAIM: Mathematical Modelling and Numerical Analysis 49 (1), 275-301, 2015 | 29 | 2015 |
Geometric error of finite volume schemes for conservation laws on evolving surfaces J Giesselmann, T Müller Numerische Mathematik 128 (3), 489-516, 2014 | 28 | 2014 |
Asymptotic analysis for Korteweg models W Dreyer, J Giesselmann, C Kraus, C Rohde Interfaces and Free Boundaries 14 (1), 105-143, 2012 | 26 | 2012 |
Stability properties of the Euler–Korteweg system with nonmonotone pressures J Giesselmann, AE Tzavaras Applicable Analysis 96 (9), 1528-1546, 2017 | 25 | 2017 |
A compressible mixture model with phase transition W Dreyer, J Giesselmann, C Kraus Physica D: Nonlinear Phenomena 273, 1-13, 2014 | 25 | 2014 |
A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method F Meyer, C Rohde, J Giesselmann IMA Journal of Numerical Analysis, 2019 | 19 | 2019 |
A posteriori analysis of fully discrete method of lines discontinuous Galerkin schemes for systems of conservation laws A Dedner, J Giesselmann SIAM Journal on Numerical Analysis 54 (6), 3523-3549, 2016 | 19 | 2016 |
A convergence result for finite volume schemes on Riemannian manifolds J Giesselmann ESAIM: Mathematical Modelling and Numerical Analysis 43 (5), 929-955, 2009 | 19 | 2009 |
Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model J Giesselmann, N Kolbe, M Lukácová-Medvid’ová, N Sfakianakis DCDS-B 23 (10), 4397-4431, 2018 | 13 | 2018 |
A relative entropy approach to convergence of a low order approximation to a nonlinear elasticity model with viscosity and capillarity J Giesselmann SIAM Journal on Mathematical Analysis 46 (5), 3518-3539, 2014 | 13 | 2014 |
Stability and asymptotic analysis for instationary gas transport via relative energy estimates H Egger, J Giesselmann Numerische Mathematik 153 (4), 701-728, 2023 | 12 | 2023 |
Residual estimates for post-processors in elliptic problems A Dedner, J Giesselmann, T Pryer, JK Ryan Journal of Scientific Computing 88 (2), 34, 2021 | 12 | 2021 |
Convergence Analysis of Grad's Hermite Expansion for Linear Kinetic Equations N Sarna, J Giesselmann, M Torrilhon SIAM Journal on Numerical Analysis 58 (2), 1164-1194, 2020 | 12* | 2020 |
A posteriori analysis for dynamic model adaptation in convection-dominated problems J Giesselmann, T Pryer Mathematical Models and Methods in Applied Sciences 27 (13), 2381-2423, 2017 | 12 | 2017 |
A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws J Giesselmann, F Meyer, C Rohde BIT Numerical Mathematics, 1-31, 2020 | 11* | 2020 |