Philipp Öffner

,

Mario Ricchiuto

J. Comput. Phys., February, 2024

Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form.

[BibT_eX]

[DOI]

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,

J. Sci. Comput., January, 2024

A high-order, fully well-balanced, unconditionally positivity-preserving finite volume framework for flood simulations.

[BibT_eX]

[DOI]

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CoRR, 2024

Applications of Limiters, Neural Networks and Polynomial Annihilation in Higher-Order FD/FV Schemes.

[BibT_eX]

[DOI]

Dorian Hillebrand

,

,

J. Sci. Comput., October, 2023

Multi-dimensional summation-by-parts operators for general function spaces: Theory and construction.

[BibT_eX]

[DOI]

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J. Comput. Phys., October, 2023

Summation-by-Parts Operators for General Function Spaces.

[BibT_eX]

[DOI]

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,

SIAM J. Numer. Anal., April, 2023

High-order upwind summation-by-parts methods for nonlinear conservation laws.

[BibT_eX]

[DOI]

Michael Schlottke-Lakemper

,

Andrew R. Winters

,

,

,

Mária Lukácová-Medvid'ová

,

Gregor J. Gassner

CoRR, 2023

Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems.

[BibT_eX]

[DOI]

Dmitri Kuzmin

,

,

CoRR, 2023

Summation-by-parts operators for general function spaces: The second derivative.

[BibT_eX]

[DOI]

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,

,

Fatemeh Nassajian Mojarrad

CoRR, 2023

A new variable shape parameter strategy for RBF approximation using neural networks.

[BibT_eX]

[DOI]

,

Maria Han Veiga

,

Jan S. Hesthaven

,

Mária Lukácová-Medvid'ová

Comput. Math. Appl., 2023

Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions.

[BibT_eX]

[DOI]

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Appl. Math. Comput., 2023

High order entropy preserving ADER-DG schemes.

[BibT_eX]

[DOI]

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Appl. Math. Comput., 2023

Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization.

[BibT_eX]

[DOI]

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,

J. Comput. Phys., 2022

Fully well balanced entropy controlled DGSEM for shallow water flows: global flux quadrature and cell entropy correction.

[BibT_eX]

[DOI]

Yogiraj Mantri

,

,

Mario Ricchiuto

CoRR, 2022

A necessary condition for non oscillatory and positivity preserving time-integration schemes.

[BibT_eX]

[DOI]

Thomas Izgin

,

,

CoRR, 2022

Entropy conservative high-order fluxes in the presence of boundaries.

[BibT_eX]

[DOI]

,

CoRR, 2022

On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions.

[BibT_eX]

[DOI]

Mária Lukácová-Medvid'ová

,

,

CoRR, 2022

On the Stability of Modified Patankar Methods.

[BibT_eX]

[DOI]

Thomas Izgin

,

CoRR, 2022

High order entropy preserving ADER scheme.

[BibT_eX]

[DOI]

,

,

,

CoRR, 2022

Comparison to control oscillations in high-order Finite Volume schemes via physical constraint limiters, neural networks and polynomial annihilation.

[BibT_eX]

[DOI]

Dorian Hillebrand

,

,

CoRR, 2022

DeC and ADER: Similarities, Differences and a Unified Framework.

[BibT_eX]

[DOI]

Maria Han Veiga

,

,

J. Sci. Comput., 2021

An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations.

[BibT_eX]

[DOI]

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,

,

CoRR, 2021

A New Stability Approach for Positivity-Preserving Patankar-type Schemes.

[BibT_eX]

[DOI]

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,

CoRR, 2021

Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes.

[BibT_eX]

[DOI]

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,

,

CoRR, 2021

Towards stable radial basis function methods for linear advection problems.

[BibT_eX]

[DOI]

,

Élise Le Mélédo

,

Comput. Math. Appl., 2021

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part I: Linear Problems.

[BibT_eX]

[DOI]

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,

,

J. Sci. Comput., 2020

DeC and ADER: Similarities, Differences and an Unified Framework.

[BibT_eX]

[DOI]

Maria Han Veiga

,

,

CoRR, 2020

Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points.

[BibT_eX]

[DOI]

,

CoRR, 2020

Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients.

[BibT_eX]

[DOI]

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J. Sci. Comput., 2019

Analysis of the SBP-SAT Stabilization for Finite Element Methods Part II: Entropy Stability.

[BibT_eX]

[DOI]

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CoRR, 2019

General polytopial H(div) conformal finite elements and their discretisation spaces.

[BibT_eX]

[DOI]

,

Élise Le Mélédo

,

CoRR, 2019

Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes.

[BibT_eX]

[DOI]

,

,

CoRR, 2019

A class of finite dimensional spaces and H(div) conformal elements on general polytopes.

[BibT_eX]

[DOI]

,

Élise Le Mélédo

,

CoRR, 2019

Application of modal filtering to a spectral difference method.

[BibT_eX]

[DOI]

,

,

Math. Comput., 2018

L<sub>2</sub> Stability of Explicit Runge-Kutta Schemes.

[BibT_eX]

[DOI]

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J. Sci. Comput., 2018

Extended skew-symmetric form for summation-by-parts operators and varying Jacobians.

[BibT_eX]

[DOI]

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,

J. Comput. Phys., 2017

Summation-by-parts operators for correction procedure via reconstruction.

[BibT_eX]

[DOI]

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,

J. Comput. Phys., 2016

Spectral convergence for orthogonal polynomials on triangles.

[BibT_eX]

[DOI]

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