Philipp Öffner

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 48

Top Topics

Finite Element Methods

Differential Equations

Top Venues

J. Comput. Phys.

J. Sci. Comput.

Comput. Math. Appl.

Publications

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 (2024)
Jan Glaubitz, Jan Nordström, Philipp Öffner
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids. CoRR (2024)
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 (2024)
Jan Glaubitz, Jan Nordström, Philipp Öffner
Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form. J. Sci. Comput. 98 (1) (2024)
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 (2024)
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 (2024)
Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner
Summation-by-parts operators for general function spaces: The second derivative. J. Comput. Phys. 504 (2024)
Jan Glaubitz, Jan Nordström, Philipp Öffner
Summation-by-Parts Operators for General Function Spaces. SIAM J. Numer. Anal. 61 (2) (2023)
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) (2023)
Mária Lukácová-Medvid'ová, Philipp Öffner
Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions. Appl. Math. Comput. 436 (2023)
Dmitri Kuzmin, Mária Lukácová-Medvid'ová, Philipp Öffner
Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems. CoRR (2023)
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 (2023)
Elena Gaburro, Philipp Öffner, Mario Ricchiuto, Davide Torlo
High order entropy preserving ADER-DG schemes. Appl. Math. Comput. 440 (2023)
Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner
Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction. CoRR (2023)
Jan Glaubitz, Simon-Christian Klein, Jan Nordström, Philipp Öffner
Summation-by-parts operators for general function spaces: The second derivative. CoRR (2023)
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 (2023)
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 (2023)
Fatemeh Nassajian Mojarrad, Maria Han Veiga, Jan S. Hesthaven, Philipp Öffner
A new variable shape parameter strategy for RBF approximation using neural networks. CoRR (2022)
Jan Glaubitz, Jan Nordström, Philipp Öffner
Summation-by-parts operators for general function spaces. CoRR (2022)
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 (2022)
Jan Glaubitz, Jan Nordström, Philipp Öffner
Energy-stable global radial basis function methods on summation-by-parts form. CoRR (2022)
Thomas Izgin, Philipp Öffner, Davide Torlo
A necessary condition for non oscillatory and positivity preserving time-integration schemes. CoRR (2022)
Mária Lukácová-Medvidová, Philipp Öffner
Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions. CoRR (2022)
Yogiraj Mantri, Philipp Öffner, Mario Ricchiuto
Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction. CoRR (2022)
Thomas Izgin, Philipp Öffner
On the Stability of Modified Patankar Methods. CoRR (2022)
Elena Gaburro, Philipp Öffner, Mario Ricchiuto, Davide Torlo
High order entropy preserving ADER scheme. CoRR (2022)
Simon-Christian Klein, Philipp Öffner
Entropy conservative high-order fluxes in the presence of boundaries. CoRR (2022)
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 (2022)
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 (2022)
Jan Glaubitz, Élise Le Mélédo, Philipp Öffner
Towards stable radial basis function methods for linear advection problems. Comput. Math. Appl. 85 (2021)
Jan Glaubitz, Élise Le Mélédo, Philipp Öffner
Towards Stable Radial Basis Function Methods for Linear Advection Problems. CoRR (2021)
Rémi Abgrall, Élise Le Mélédo, Philipp Öffner, Davide Torlo
Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes. CoRR (2021)
Davide Torlo, Philipp Öffner, Hendrik Ranocha
A New Stability Approach for Positivity-Preserving Patankar-type Schemes. CoRR (2021)
Maria Han Veiga, Philipp Öffner, Davide Torlo
DeC and ADER: Similarities, Differences and a Unified Framework. J. Sci. Comput. 87 (1) (2021)
Mirco Ciallella, Lorenzo Micalizzi, Philipp Öffner, Davide Torlo
An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations. CoRR (2021)
Jan Glaubitz, Philipp Öffner
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points. CoRR (2020)
Maria Han Veiga, Philipp Öffner, Davide Torlo
DeC and ADER: Similarities, Differences and an Unified Framework. CoRR (2020)
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) (2020)
Rémi Abgrall, Élise Le Mélédo, Philipp Öffner
General polytopial H(div) conformal finite elements and their discretisation spaces. CoRR (2019)
Rémi Abgrall, Élise Le Mélédo, Philipp Öffner
A class of finite dimensional spaces and H(div) conformal elements on general polytopes. CoRR (2019)
Philipp Öffner, Hendrik Ranocha
Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients. J. Sci. Comput. 79 (3) (2019)
Rémi Abgrall, Philipp Öffner, Hendrik Ranocha
Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes. CoRR (2019)
Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear problems. CoRR (2019)
Rémi Abgrall, Jan Nordström, Philipp Öffner, Svetlana V. Tokareva
Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability. CoRR (2019)
Jan Glaubitz, Philipp Öffner, Thomas Sonar
Application of modal filtering to a spectral difference method. Math. Comput. 87 (309) (2018)
Hendrik Ranocha, Philipp Öffner
Stability of Explicit Runge-Kutta Schemes. J. Sci. Comput. 75 (2) (2018)
Hendrik Ranocha, Philipp Öffner, Thomas Sonar
Extended skew-symmetric form for summation-by-parts operators and varying Jacobians. J. Comput. Phys. 342 (2017)
Hendrik Ranocha, Philipp Öffner, Thomas Sonar
Summation-by-parts operators for correction procedure via reconstruction. J. Comput. Phys. 311 (2016)
Philipp Öffner, Thomas Sonar
Spectral convergence for orthogonal polynomials on triangles. Numerische Mathematik 124 (4) (2013)