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ORCIDPhilipp Öffner
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2020 – today
- 2025
[j20]Hendrik Ranocha
, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. J. Comput. Phys. 520: 113471 (2025)- 2024
- [j19]Yogiraj Mantri, Philipp Öffner, Mario Ricchiuto:
Fully well-balanced entropy controlled discontinuous Galerkin spectral element method for shallow water flows: Global flux quadrature and cell entropy correction. J. Comput. Phys. 498: 112673 (2024) - [j18]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces: The second derivative. J. Comput. Phys. 504: 112889 (2024) - [j17]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form. J. Sci. Comput. 98(1): 30 (2024) - [i31]Mirco Ciallella, Lorenzo Micalizzi, Victor Michel-Dansac, Philipp Öffner, Davide Torlo:
A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations. CoRR abs/2402.12248 (2024) - [i30]Philipp Öffner, Louis Petri, Davide Torlo:
Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations. CoRR abs/2404.18626 (2024) - [i29]Jan Glaubitz, Jan Nordström, Philipp Öffner:
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids. CoRR abs/2405.08770 (2024) - [i28]Jan Glaubitz, Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Gregor Gassner:
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods. CoRR abs/2406.14557 (2024) - [i27]Hennes Hajduk, Dmitri Kuzmin, Gert Lube, Philipp Öffner:
Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations. CoRR abs/2410.06174 (2024) - 2023
- [j16]Mária Lukácová-Medvid'ová, Philipp Öffner:
Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions. Appl. Math. Comput. 436: 127508 (2023) - [j15]Elena Gaburro, Philipp Öffner, Mario Ricchiuto, Davide Torlo:
High order entropy preserving ADER-DG schemes. Appl. Math. Comput. 440: 127644 (2023) - [j14]Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven, Philipp Öffner:
A new variable shape parameter strategy for RBF approximation using neural networks. Comput. Math. Appl. 143: 151-168 (2023) - [j13]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. J. Comput. Phys. 491: 112370 (2023) - [j12]Dorian Hillebrand, Simon-Christian Klein, Philipp Öffner:
Applications of Limiters, Neural Networks and Polynomial Annihilation in Higher-Order FD/FV Schemes. J. Sci. Comput. 97(1): 13 (2023) - [j11]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-Parts Operators for General Function Spaces. SIAM J. Numer. Anal. 61(2): 733-754 (2023) - [i26]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. CoRR abs/2301.12996 (2023) - [i25]Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces: The second derivative. CoRR abs/2306.16314 (2023) - [i24]Dmitri Kuzmin, Mária Lukácová-Medvid'ová, Philipp Öffner:
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems. CoRR abs/2308.14872 (2023) - [i23]Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper, Philipp Öffner, Jan Glaubitz, Gregor J. Gassner:
High-order upwind summation-by-parts methods for nonlinear conservation laws. CoRR abs/2311.13888 (2023) - 2022
- [j10]Rémi Abgrall, Philipp Öffner, Hendrik Ranocha:
Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization. J. Comput. Phys. 453: 110955 (2022) - [i22]Mária Lukácová-Medvidová, Philipp Öffner:
Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions. CoRR abs/2202.10043 (2022) - [i21]Dorian Hillebrand, Simon-Christian Klein, Philipp Öffner:
Comparison to control oscillations in high-order Finite Volume schemes via physical constraint limiters, neural networks and polynomial annihilation. CoRR abs/2203.00297 (2022) - [i20]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Summation-by-parts operators for general function spaces. CoRR abs/2203.05479 (2022) - [i19]Jan Glaubitz, Jan Nordström, Philipp Öffner:
Energy-stable global radial basis function methods on summation-by-parts form. CoRR abs/2204.03291 (2022) - [i18]Elena Gaburro, Philipp Öffner, Mario Ricchiuto, Davide Torlo:
High order entropy preserving ADER scheme. CoRR abs/2206.03889 (2022) - [i17]Thomas Izgin, Philipp Öffner:
On the Stability of Modified Patankar Methods. CoRR abs/2206.07371 (2022) - [i16]Rémi Abgrall, Mária Lukácová-Medvid'ová, Philipp Öffner:
On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. CoRR abs/2207.11969 (2022) - [i15]Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven, Philipp Öffner:
A new variable shape parameter strategy for RBF approximation using neural networks. CoRR abs/2210.16945 (2022) - [i14]Simon-Christian Klein, Philipp Öffner:
Entropy conservative high-order fluxes in the presence of boundaries. CoRR abs/2211.01171 (2022) - [i13]Thomas Izgin, Philipp Öffner, Davide Torlo:
A necessary condition for non oscillatory and positivity preserving time-integration schemes. CoRR abs/2211.08905 (2022) - [i12]Yogiraj Mantri, Philipp Öffner, Mario Ricchiuto:
Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction. CoRR abs/2212.11931 (2022) - 2021
- [j9]Jan Glaubitz, Élise Le Mélédo, Philipp Öffner:
Towards stable radial basis function methods for linear advection problems. Comput. Math. Appl. 85: 84-97 (2021) - [j8]Maria Han Veiga, Philipp Öffner, Davide Torlo:
DeC and ADER: Similarities, Differences and a Unified Framework. J. Sci. Comput. 87(1): 2 (2021) - [i11]Jan Glaubitz, Élise Le Mélédo, Philipp Öffner:
Towards Stable Radial Basis Function Methods for Linear Advection Problems. CoRR abs/2101.09623 (2021) - [i10]Rémi Abgrall, Élise Le Mélédo, Philipp Öffner, Davide Torlo:
Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes. CoRR abs/2106.05005 (2021) - [i9]Davide Torlo, Philipp Öffner, Hendrik Ranocha:
A New Stability Approach for Positivity-Preserving Patankar-type Schemes. CoRR abs/2108.07347 (2021) - [i8]Mirco Ciallella, Lorenzo Micalizzi, Philipp Öffner, Davide Torlo:
An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations. CoRR abs/2110.13509 (2021) - 2020
- [j7]Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva:
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems. J. Sci. Comput. 85(2): 43 (2020) - [i7]Jan Glaubitz, Philipp Öffner:
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points. CoRR abs/2001.00507 (2020) - [i6]Maria Han Veiga, Philipp Öffner, Davide Torlo:
DeC and ADER: Similarities, Differences and an Unified Framework. CoRR abs/2002.11764 (2020)
2010 – 2019
- 2019
- [j6]Philipp Öffner, Hendrik Ranocha:
Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients. J. Sci. Comput. 79(3): 1572-1607 (2019) - [i5]Rémi Abgrall, Élise Le Mélédo, Philipp Öffner:
A class of finite dimensional spaces and H(div) conformal elements on general polytopes. CoRR abs/1907.08678 (2019) - [i4]Rémi Abgrall, Philipp Öffner, Hendrik Ranocha:
Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes. CoRR abs/1908.04556 (2019) - [i3]Rémi Abgrall, Élise Le Mélédo, Philipp Öffner:
General polytopial H(div) conformal finite elements and their discretisation spaces. CoRR abs/1910.06783 (2019) - [i2]Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva:
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear problems. CoRR abs/1912.08108 (2019) - [i1]Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva:
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability. CoRR abs/1912.08390 (2019) - 2018
- [j5]Hendrik Ranocha, Philipp Öffner:
L2 Stability of Explicit Runge-Kutta Schemes. J. Sci. Comput. 75(2): 1040-1056 (2018) - [j4]Jan Glaubitz, Philipp Öffner, Thomas Sonar:
Application of modal filtering to a spectral difference method. Math. Comput. 87(309): 175-207 (2018) - 2017
- [j3]Hendrik Ranocha, Philipp Öffner, Thomas Sonar:
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. J. Comput. Phys. 342: 13-28 (2017) - 2016
- [j2]Hendrik Ranocha, Philipp Öffner, Thomas Sonar:
Summation-by-parts operators for correction procedure via reconstruction. J. Comput. Phys. 311: 299-328 (2016) - 2013
- [j1]Philipp Öffner, Thomas Sonar:
Spectral convergence for orthogonal polynomials on triangles. Numerische Mathematik 124(4): 701-721 (2013)
Coauthor Index
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