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19932026
Showing 2022 · math.NAShow all

34 papers · 2 filters

math.NA2022★ 1 cited

Parallel kinetic schemes for conservation laws, with large time steps

Pierre Gerhard, Philippe Helluy, Victor Michel-Dansac +1

We propose a new parallel Discontinuous Galerkin method for the approximation of hyperbolic systems of conservation laws. The method remains stable with large time steps, while kee…

math.NA2022★ 3 cited

Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation

Ibrahim Almuslimani, Nicolas Crouseilles

In this work, we aim at constructing numerical schemes, that are as efficient as possible in terms of cost and conservation of invariants, for the Vlasov--Fokker--Planck system cou…

math.NA2022★ 5 cited

A hybridizable discontinuous Galerkin method with characteristic variables for Helmholtz problems

A. Modave, T. Chaumont-Frelet

A new hybridizable discontinuous Galerkin method, named the CHDG method, is proposed for solving time-harmonic scalar wave propagation problems. This method relies on a standard di…

math.NA2022★ 1 cited

How does the partition of unity influence SORAS preconditioner?

Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf +1

We investigate the influence of the choice of the partition of unity on the convergence of the Symmetrized Optimized Restricted Additive Schwarz (SORAS) preconditioner for the reac…

math.NA2022★ 3 cited

Non-intrusive implementation of a wide variety of Multiscale Finite Element Methods

Rutger A. Biezemans, Claude Le Bris, Frédéric Legoll +1

Multiscale Finite Element Methods (MsFEMs) are now well-established finite element type approaches dedicated to multiscale problems. They first compute local, oscillatory, problem-…

math.NA2022★ 3 cited

Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation

Niall Bootland, Sahar Borzooei, Victorita Dolean +1

The convergence rate of domain decomposition methods (DDMs) strongly depends on the transmission condition at the interfaces between subdomains. Thus, an important aspect in improv…