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1
A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems
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A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems

Busto, Saray ; Dumbser, Michael

Communications on Applied Mathematics and Computation (Online), 2024-09, Vol.6 (3), p.1742-1778

Singapore: Springer Nature Singapore

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High-Order ADER Discontinuous Galerkin Schemes for a Symmetric Hyperbolic Model of Compressible Barotropic Two-Fluid Flows
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High-Order ADER Discontinuous Galerkin Schemes for a Symmetric Hyperbolic Model of Compressible Barotropic Two-Fluid Flows

Río-Martín, Laura ; Dumbser, Michael

Communications on Applied Mathematics and Computation (Online), 2023-11

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Curl Constraint-Preserving Reconstruction and the Guidance it Gives for Mimetic Scheme Design
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Curl Constraint-Preserving Reconstruction and the Guidance it Gives for Mimetic Scheme Design

Balsara, Dinshaw S. ; Käppeli, Roger ; Boscheri, Walter ; Dumbser, Michael

Communications on Applied Mathematics and Computation (Online), 2023-03, Vol.5 (1), p.235-294

Singapore: Springer Nature Singapore

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4
A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics
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A simple and general framework for the construction of thermodynamically compatible schemes for computational fluid and solid mechanics

Abgrall, Rémi ; Busto, Saray ; Dumbser, Michael

Applied mathematics and computation, 2023-03, Vol.440, p.127629, Article 127629 [Periódico revisado por pares]

Elsevier Inc

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5
Unified description of fluids and solids in Smoothed Particle Hydrodynamics
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Unified description of fluids and solids in Smoothed Particle Hydrodynamics

Kincl, Ondřej ; Peshkov, Ilya ; Pavelka, Michal ; Klika, Václav

Applied mathematics and computation, 2023-02, Vol.439, p.127579, Article 127579 [Periódico revisado por pares]

Elsevier Inc

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6
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations
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An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations

Busto, S. ; Dumbser, M. ; Río-Martín, L.

Applied mathematics and computation, 2023-01, Vol.437, p.127539, Article 127539 [Periódico revisado por pares]

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7
A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows
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A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows

Busto, Saray ; Dumbser, Michael

Journal of scientific computing, 2022-11, Vol.93 (2), p.56, Article 56 [Periódico revisado por pares]

New York: Springer US

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8
Von Neumann Stability Analysis of DG-Like and PNPM-Like Schemes for PDEs with Globally Curl-Preserving Evolution of Vector Fields
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Von Neumann Stability Analysis of DG-Like and PNPM-Like Schemes for PDEs with Globally Curl-Preserving Evolution of Vector Fields

Balsara, Dinshaw S. ; Käppeli, Roger

Communications on Applied Mathematics and Computation (Online), 2022-09, Vol.4 (3), p.945-985

Singapore: Springer Nature Singapore

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9
A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes
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A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes

Busto, S. ; Río-Martín, L. ; Vázquez-Cendón, M.E. ; Dumbser, M.

Applied mathematics and computation, 2021-08, Vol.402, Article 126117 [Periódico revisado por pares]

Elsevier Inc

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10
On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows
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On Thermodynamically Compatible Finite Volume Methods and Path-Conservative ADER Discontinuous Galerkin Schemes for Turbulent Shallow Water Flows

Busto, Saray ; Dumbser, Michael ; Gavrilyuk, Sergey ; Ivanova, Kseniya

Journal of scientific computing, 2021-07, Vol.88 (1), p.28, Article 28 [Periódico revisado por pares]

New York: Springer US

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