
Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes
In [1] is proposed a simplified DeC method, that, when combined with the...
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Assessment of a nonconservative fourequation multiphase system with phase transition
This work focuses on the formulation of a fourequation model for simula...
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High Order Residual Distribution Conservative Finite Difference HWENO Scheme for Steady State Problems
In this paper, we develop a high order residual distribution (RD) method...
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Spectral analysis of continuous FEM for hyperbolic PDEs: influence of approximation, stabilization, and timestepping
We study continuous finite element dicretizations for one dimensional hy...
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THINC scaling method that bridges VOF and level set schemes
We present a novel interfacecapturing scheme, THINCscaling, to unify t...
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A combination of Residual Distribution and the Active Flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application
We show how to combine in a natural way (i.e. without any test nor switc...
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On the simulation of multicomponent and multiphase compressible flows
The following paper presents two simulation strategies for compressible ...
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Neural network based limiter with transfer learning
A neural network is trained using simulation data from a Runge Kutta dis...
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Analysis of the SBPSAT Stabilization for Finite Element Methods Part II: Entropy Stability
In the research community, there exists the strong belief that a continu...
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Analysis of the SBPSAT Stabilization for Finite Element Methods Part I: Linear problems
A pure Galerkin scheme is notoriously unstable. To remedy this issue, st...
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Nonequilibrium Model for Weakly Compressible Multicomponent Flows: the Hyperbolic Operator
We present a novel pressurebased method for weakly compressible multiph...
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General polytopial H(div) conformal finite elements and their discretisation spaces
We present a class of discretisation spaces and H(div)conformal element...
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Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes
For the general class of residual distribution (RD) schemes, including m...
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A class of finite dimensional spaces and H(div) conformal elements on general polytopes
We present a class of discretisation spaces and H(div)conformal element...
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Capturing nearequilibrium solutions: a comparison between highorder Discontinuous Galerkin methods and wellbalanced schemes
Equilibrium or stationary solutions usually proceed through the exact ba...
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Rémi Abgrall
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