Numerical Analysis and Scientific Computing

List of Publications

Prof. Dr. Jan Giesselmann

List of Publications | List of Recent Publications | Last update: 05.12.2023 09:11.

2020 | |

"Model adaptation of balance laws based on a posteriori error estimates and surrogate fluxes", Chapter in Finite volumes for complex applications IX—methods, theoretical aspects, examples—FVCA 9, Bergen, Norway, June 2020, Springer, Cham, pp. 375–383, 2020.
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2018 | |

"Residual error indicators for discontinuous Galerkin schemes for discontinuous solutions to systems of conservation laws", Chapter in Theory, numerics and applications of hyperbolic problems. I, Springer, Cham, pp. 459–471, 2018.
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"A posteriori analysis for the Euler-Korteweg model", Chapter in Theory, numerics and applications of hyperbolic problems. I, Springer, Cham, pp. 631–642, 2018.
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2017 | |

"Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model", Chapter in Finite volumes for complex applications VIII—methods and theoretical aspects, Springer, Cham, pp. 457–466, 2017.
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2014 | |

The problem of dynamic cavitation in nonlinear elasticity", Chapter in Séminaire Laurent Schwartz—Équations aux dérivées partielles et applications. Année 2012–2013, École Polytech., Palaiseau, pp. Exp. No. XIV, 17, 2014.
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"Estimating the geometric error of finite volume schemes for conservation laws on surfaces for generic numerical flux functions", Chapter in Finite volumes for complex applications VII. Methods and theoretical aspects, Springer, Cham, pp. 323–331, 2014.
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"On aposteriori error analysis of dG schemes approximating hyperbolic conservation laws", Chapter in Finite volumes for complex applications VII. Methods and theoretical aspects, Springer, Cham, pp. 313–321, 2014.
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On cavitation in elastodynamics", Chapter in Hyperbolic problems: theory, numerics, applications, Am. Inst. Math. Sci. (AIMS), Springfield, MO, pp. 599–606, 2014.
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2013 | |

"Finite volume schemes for balance laws on time-dependent surfaces", Chapter in Numerical methods for hyperbolic equations: theory and applications, CRC Press/Balkema, Leiden, pp. 251–258, 2013.
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2012 | |

"A diffuse interface model for quasi-incompressible flows: sharp interface limits and numerics", Chapter in CEMRACS'11: Multiscale coupling of complex models in scientific computing, EDP Sci., Les Ulis, pp. 54–77, 2012.
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"Sediment transport modelling: relaxation schemes for Saint-Venant–Exner and three layer models", Chapter in CEMRACS'11: Multiscale coupling of complex models in scientific computing, EDP Sci., Les Ulis, pp. 78–98, 2012.
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Sharp interface limits for Korteweg models", Chapter in Hyperbolic problems—theory, numerics and applications. Volume 2, World Sci. Publishing, Singapore, pp. 422–430, 2012.
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2008 | |

Convergence rate of finite volume schemes for hyperbolic conservation laws on Riemannian manifolds", Chapter in Finite volumes for complex applications V, ISTE, London, pp. 463–470, 2008.
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