Dr. Nils Gerhard
Mitarbeiter am IGPM bis Juli 2017
Research interests
- Discontinuous-Galerkin methods
- Adaptive multiscale techniques (Multiwavelets)
- High performance computing
Publications
- M.Herty, S. Müller, N. Gerhard, G. Xiang and B. Wang, Fluid-structure coupling of linear elastic model with compressible flow models. Preprint IGPM Report No. 458, RWTH Aachen, 2016, submitted. [Preprint]
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N. Gerhard , D. Caviedes-Voullième, S. Müller and G. Kesserwani, Multiwavelet-Based Grid Adaptation with Discontinuous Galerkin Schemes for Shallow Water Equations. Journal of Computational Physics, 301, 265-288, 2015.
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G. Kesserwani, D. Caviedes-Voullieme, N. Gerhard and S. Müller. Multiwavelet discontinuous Galerkin h-adaptive shallow water model. Comput. Methods Appl. Mech. Engrg., 294, 56-71, 2015.
- N. Gerhard, F. Iacono, G. May, S. Müller and R. Schäfer, A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows. Journal of Scientific Computing, 62(1), 25-52, 2015.
- N. Gerhard and S. Müller, Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws: Multi-Dimensional Case. Computational and Applied Mathematics, 35(2), 321-349, 2016 [Preprint].
Talks
- Multiwavelet-Based Grid Adaptation for Shallow Water Equations,
Advances in Numerical Modelling of Hydrodynamics, Sheffield, UK, 2015
- Multiwavelet-based grid adaption with discontinuous Galerkin schemes,
YIC GACM, Aachen, Germany, 2015
- Numerical Simulation of Tsunamis Using Adaptive Multiresolution Discontinuous Galerkin Schemes,
WONAPDE, Concepción, Chile, 2016
- Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws,
Hyp 2016, Aachen, Germany, 2016
Workshop Organization
- Workshop:
Advances in Numerical Modelling of Hydrodynamics
March 24–25, 2015, University of Sheffield, UK
Teaching
- SS 17 Multiskalentechniken I+II
- WS 16/17Multiskalentechniken II
- SS 16: Multiskalentechniken I
- WS 15/16: Finite Volumen und Finite Elemente Verfahren II
- SS 15: Finite Volumen und Finite Elemente Verfahren I
- SS 14: Finite Volumen und Finite Elemente Verfahren
- WS13/14: Numerische Analysis IV für Mathematiker
- SS 13: Mathematisches Praktikum
- WS 12/13:Numerische Analysis III für Mathematiker, Seminar: Modellierung und Simulation
- SS 12: Numerische Analysis II für Mathematiker
- WS 11/12: Numerische Analysis I für Mathematike
Research interests
- Discontinuous-Galerkin methods
- Adaptive multiscale techniques (Multiwavelets)
- High performance computing
Publications
- M.Herty, S. Müller, N. Gerhard, G. Xiang and B. Wang, Fluid-structure coupling of linear elastic model with compressible flow models. Preprint IGPM Report No. 458, RWTH Aachen, 2016, submitted. [Preprint]
- N. Gerhard , D. Caviedes-Voullième, S. Müller and G. Kesserwani, Multiwavelet-Based Grid Adaptation with Discontinuous Galerkin Schemes for Shallow Water Equations. Journal of Computational Physics, 301, 265-288, 2015.
- G. Kesserwani, D. Caviedes-Voullieme, N. Gerhard and S. Müller. Multiwavelet discontinuous Galerkin h-adaptive shallow water model. Comput. Methods Appl. Mech. Engrg., 294, 56-71, 2015.
- N. Gerhard, F. Iacono, G. May, S. Müller and R. Schäfer, A High-Order Discontinuous Galerkin Discretization with Multiwavelet-Based Grid Adaptation for Compressible Flows. Journal of Scientific Computing, 62(1), 25-52, 2015.
- N. Gerhard and S. Müller, Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws: Multi-Dimensional Case. Computational and Applied Mathematics, 35(2), 321-349, 2016 [Preprint].
Talks
- Multiwavelet-Based Grid Adaptation for Shallow Water Equations,
Advances in Numerical Modelling of Hydrodynamics, Sheffield, UK, 2015 - Multiwavelet-based grid adaption with discontinuous Galerkin schemes,
YIC GACM, Aachen, Germany, 2015 - Numerical Simulation of Tsunamis Using Adaptive Multiresolution Discontinuous Galerkin Schemes,
WONAPDE, Concepción, Chile, 2016 - Adaptive Multiresolution Discontinuous Galerkin Schemes for Conservation Laws,
Hyp 2016, Aachen, Germany, 2016
Workshop Organization
- Workshop:
Advances in Numerical Modelling of Hydrodynamics
March 24–25, 2015, University of Sheffield, UK
Teaching
- SS 17 Multiskalentechniken I+II
- WS 16/17Multiskalentechniken II
- SS 16: Multiskalentechniken I
- WS 15/16: Finite Volumen und Finite Elemente Verfahren II
- SS 15: Finite Volumen und Finite Elemente Verfahren I
- SS 14: Finite Volumen und Finite Elemente Verfahren
- WS13/14: Numerische Analysis IV für Mathematiker
- SS 13: Mathematisches Praktikum
- WS 12/13:Numerische Analysis III für Mathematiker, Seminar: Modellierung und Simulation
- SS 12: Numerische Analysis II für Mathematiker
- WS 11/12: Numerische Analysis I für Mathematike