Publications

Theses

Simulating Structure Formation in Soils across Scales using Discontinuous Galerkin Methods

Rupp, Andreas

Simulating Structure Formation in Soils across Scales using Discontinuous Galerkin Methods PhD Thesis

Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2019, ISBN: 978-3-8440-6801-6.

Abstract | Links | BibTeX

Book contributions

Numerical Methods for Elliptic and Parabolic Partial Differential Equations: With contributions by Andreas Rupp

Knabner, Peter; Angermann, Lutz

Numerical Methods for Elliptic and Parabolic Partial Differential Equations: With contributions by Andreas Rupp Book

2, Springer International Publishing, 2021, ISBN: 978-3-030-79384-5.

Abstract | Links | BibTeX

Journal articles

Homogeneous multigrid for HDG applied to the Stokes equation

Lu, Peipei; Wang, Wei; Kanschat, Guido; Rupp, Andreas

Homogeneous multigrid for HDG applied to the Stokes equation Journal Article Forthcoming

In: IMA Journal of Numerical Analysis, Forthcoming, ISBN: 0272-4979.

Abstract | Links | BibTeX

Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps

Musch, Markus; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter

Hybridizable discontinuous Galerkin method with mixed-order spaces for non-linear diffusion equations with internal jumps Journal Article

In: GEM - International Journal on Geomathematics, vol. 14, no. 18, pp. 25, 2023, ISSN: 1869-2680.

Abstract | Links | BibTeX

Two-level Schwarz methods for hybridizable discontinuous Galerkin methods

Lu, Peipei; Rupp, Andreas; Kanschat, Guido

Two-level Schwarz methods for hybridizable discontinuous Galerkin methods Journal Article

In: Journal of Scientific Computing, vol. 95, no. 9, pp. 16, 2023, ISSN: 1573-7691.

Abstract | Links | BibTeX

Analysis of algebraic flux correction schemes for semi-discrete advection problems

Hajduk, Hennes; Rupp, Andreas

Analysis of algebraic flux correction schemes for semi-discrete advection problems Journal Article

In: BIT Numerical Mathematics, vol. 63, no. 8, pp. 29, 2023, ISSN: 1572-9125.

Abstract | Links | BibTeX

Homogeneous multigrid for embedded discontinuous Galerkin methods

Lu, Peipei; Rupp, Andreas; Kanschat, Guido

Homogeneous multigrid for embedded discontinuous Galerkin methods Journal Article

In: BIT Numerical Mathematics, vol. 62, iss. 3, pp. 1029–1048, 2022, ISSN: 1572-9125.

Abstract | Links | BibTeX

Analysis of injection operators in geometric multigrid solvers for HDG methods

Lu, Peipei; Rupp, Andreas; Kanschat, Guido

Analysis of injection operators in geometric multigrid solvers for HDG methods Journal Article

In: SIAM Journal on Numerical Analysis, vol. 60, no. 4, pp. 2293–2317, 2022, ISSN: 0036-1429.

Abstract | Links | BibTeX

Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations

Rupp, Andreas; Gahn, Markus; Kanschat, Guido

Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations Journal Article

In: ESAIM: Mathematical Modelling and Numerical Analysis, vol. 56, no. 2, pp. 505–528, 2022, ISSN: 0764-583X.

Abstract | Links | BibTeX

Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems

Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas

Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems Journal Article

In: Computer Methods in Applied Mechanics and Engineering, vol. 389, no. 114428, pp. 28, 2022, ISSN: 0045-7825.

Abstract | Links | BibTeX

Homogeneous multigrid for HDG

Lu, Peipei; Rupp, Andreas; Kanschat, Guido

Homogeneous multigrid for HDG Journal Article

In: IMA Journal of Numerical Analysis, vol. 42, iss. 4, pp. 3135–3153, 2021, ISSN: 0272-4979.

Abstract | Links | BibTeX

A subcell-enriched Galerkin method for advection problems

Rupp, Andreas; Hauck, Moritz; Aizinger, Vadym

A subcell-enriched Galerkin method for advection problems Journal Article

In: Computers & Mathematics with Applications, vol. 93, pp. 120–129, 2021, ISSN: 0898-1221.

Abstract | Links | BibTeX

FESTUNG 1.0: Overview, usage, and example applications of the Matlab / GNU Octave toolbox for discontinuous Galerkin methods

Reuter, Balthasar; Hajduk, Hennes; Rupp, Andreas; Frank, Florian; Aizinger, Vadym; Knabner, Peter

FESTUNG 1.0: Overview, usage, and example applications of the Matlab / GNU Octave toolbox for discontinuous Galerkin methods Journal Article

In: Computers & Mathematics with Applications, vol. 81, pp. 3–41, 2021, ISSN: 0898-1221.

Abstract | Links | BibTeX

Enriched Galerkin method for the shallow-water equations

Hauck, Moritz; Aizinger, Vadym; Frank, Florian; Hajduk, Hennes; Rupp, Andreas

Enriched Galerkin method for the shallow-water equations Journal Article

In: GEM - International Journal on Geomathematics, vol. 11, no. 31, pp. 25, 2020, ISSN: 1869-2680.

Abstract | Links | BibTeX

FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface

Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Frank, Florian; Knabner, Peter

FESTUNG: A MATLAB/GNU Octave toolbox for the discontinuous Galerkin method. Part IV: Generic problem framework and model-coupling interface Journal Article

In: Communications in Computational Physics, vol. 28, no. 2, pp. 827–876, 2020, ISSN: 1991-7120.

Abstract | Links | BibTeX

Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems  with jump conditions

Rupp, Andreas; Lee, Sanghyun

Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions Journal Article

In: Journal of Scientific Computing, vol. 84, no. 9, pp. 25, 2020, ISSN: 1573-7691.

Abstract | Links | BibTeX

Locally bound-preserving enriched Galerkin methods for the linear advection equation

Kuzmin, Dmitri; Hajduk, Hennes; Rupp, Andreas

Locally bound-preserving enriched Galerkin methods for the linear advection equation Journal Article

In: Computers & Fluids, vol. 205, no. 104525, pp. 15, 2020, ISSN: 0045-7930.

Abstract | Links | BibTeX

Numerical benchmark study for flow in highly heterogeneous aquifers

Alecsa, Cristian Daniel; Boros, Imre; Frank, Florian; Knabner, Peter; Nechita, Mihai; Prechtel, Alexander; Rupp, Andreas; Suciu, Nicolae

Numerical benchmark study for flow in highly heterogeneous aquifers Journal Article

In: Advances in Water Resources, vol. 138, no. 103558, pp. 16, 2020, ISSN: 0309-1708.

Abstract | Links | BibTeX

Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn–Hilliard equation

Frank, Florian; Rupp, Andreas; Kuzmin, Dmitri

Bound-preserving flux limiting schemes for DG discretizations of conservation laws with applications to the Cahn–Hilliard equation Journal Article

In: Computer Methods in Applied Mechanics and Engineering, vol. 359, no. 112665, pp. 25, 2020, ISSN: 0045-7825.

Abstract | Links | BibTeX

Application of a cellular automaton method to model the structure formation in soils under saturated conditions: A mechanistic approach

Rupp, Andreas; Guhra, Tom; Meier, Andreas; Prechtel, Alexander; Ritschel, Thomas; Ray, Nadja; Totsche, Kai Uwe

Application of a cellular automaton method to model the structure formation in soils under saturated conditions: A mechanistic approach Journal Article

In: Frontiers in Environmental Science, vol. 7, no. 170, pp. 11, 2019, ISSN: 2296-665X.

Abstract | Links | BibTeX

Beyond Kozeny–Carman: Predicting the permeability in porous media

Schulz, Raphael; Ray, Nadja; Zech, Simon; Rupp, Andreas; Knabner, Peter

Beyond Kozeny–Carman: Predicting the permeability in porous media Journal Article

In: Transport in Porous Media, vol. 130, no. 2, pp. 487–512, 2019, ISSN: 1573-1634.

Abstract | Links | BibTeX

Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems

Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter

Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems Journal Article

In: Computers & Mathematics with Applications, vol. 77, no. 9, pp. 2291–2309, 2019, ISSN: 0898-1221.

Abstract | Links | BibTeX

Discrete-continuum multiphase model for structure formation in soils including electrostatic effects

Rupp, Andreas; Totsche, Kai Uwe; Prechtel, Alexander; Ray, Nadja

Discrete-continuum multiphase model for structure formation in soils including electrostatic effects Journal Article

In: Frontiers in Environmental Science, vol. 6, no. 96, pp. 13, 2018, ISSN: 2296-665X.

Abstract | Links | BibTeX

Old and new approaches predicting the diffusion in porous media

Ray, Nadja; Rupp, Andreas; Schulz, Raphael; Knabner, Peter

Old and new approaches predicting the diffusion in porous media Journal Article

In: Transport in Porous Media, vol. 124, no. 3, pp. 803–824, 2018, ISSN: 1573-1634.

Abstract | Links | BibTeX

A local discontinuous Galerkin scheme for Darcy flow with internal jumps

Rupp, Andreas; Knabner, Peter; Dawson, Clint

A local discontinuous Galerkin scheme for Darcy flow with internal jumps Journal Article

In: Computational Geosciences, vol. 22, no. 4, pp. 1149–1159, 2018, ISSN: 1573-1499.

Abstract | Links | BibTeX

Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow

Aizinger, Vadym; Rupp, Andreas; Schütz, Jochen; Knabner, Peter

Analysis of a mixed discontinuous Galerkin method for instationary Darcy flow Journal Article

In: Computational Geosciences, vol. 22, no. 1, pp. 179–194, 2018, ISSN: 1573-1499.

Abstract | Links | BibTeX

Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media

Ray, Nadja; Rupp, Andreas; Prechtel, Alexander

Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media Journal Article

In: Advances in Water Resources, vol. 107, pp. 393–404, 2017, ISSN: 0309-1708.

Abstract | Links | BibTeX

Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow

Rupp, Andreas; Knabner, Peter

Convergence order estimates of the local discontinuous Galerkin method for instationary Darcy flow Journal Article

In: Numerical Methods for Partial Differential Equations, vol. 33, no. 4, pp. 1374–1394, 2017, ISSN: 0749-159X.

Abstract | Links | BibTeX

Preprints and submitted manuscripts

Di Pietro, Daniele Antonio; Dong, Zhaonan; Kanschat, Guido; Matalon, Pierre; Rupp, Andreas

Homogeneous multigrid for hybrid discretizations: application to HHO methods Online Forthcoming

Forthcoming, visited: 25.03.2024.

Abstract | Links | BibTeX

Altunay, Rabia; Vesterinen, Kalevi; Alander, Pasi; Immonen, Eero; Rupp, Andreas; Roininen, Lassi

Denture reinforcement via topology optimization Online Forthcoming

Forthcoming, visited: 01.09.2023.

Abstract | Links | BibTeX

Lu, Peipei; Maier, Roland; Rupp, Andreas

A localized orthogonal decomposition strategy for hybrid discontinuous Galerkin methods Online Forthcoming

Forthcoming, visited: 28.07.2023.

Abstract | Links | BibTeX

Tyree, Juniper; Rupp, Andreas; Clusius, Petri; Boy, Michael

phepy: Visual benchmarks and improvements for out-of-distribution detectors Unpublished Forthcoming

Forthcoming.

BibTeX

Kazarnikov, Alexey; Ray, Nadja; Haario, Heikki; Lappalainen, Joona; Rupp, Andreas

Parameter estimation for cellular automata Online Forthcoming

Forthcoming, visited: 01.02.2023.

Abstract | Links | BibTeX

Angermann, Lutz; Knabner, Peter; Rupp, Andreas

Error estimates for completely discrete FEM in energy-type and weaker norms Online Forthcoming

Forthcoming, visited: 18.01.2023.

Abstract | Links | BibTeX

Rupp, Andreas; Aizinger, Vadym; Reuter, Balthasar

A local discontinuous Galerkin method with varying polynomial orders for advection-diffusion problems Unpublished Forthcoming

Forthcoming.

BibTeX

Kaarnioja, Vesa; Rupp, Andreas

Quasi-Monte Carlo and discontinuous Galerkin Online Forthcoming

Forthcoming, visited: 15.07.2022.

Abstract | Links | BibTeX