Výsledky vyhledávání - "Hesthaven, J."

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Structure-preserving model order reduction of Hamiltonian systems

Autor: Hesthaven, J. S., Pagliantini, C., Ripamonti, N.

We discuss the recent developments of projection-based model order reduction (MOR) techniques targeting Hamiltonian problems. Hamilton's principle completely characterizes many high-dimensional models in mathematical physics, resulting in rich geomet

Externí odkaz: http://arxiv.org/abs/2109.12367

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Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2D: semi-analytic time stepping and absorbing boundary layers

Autor: Karakus, A., Chalmers, N., Hesthaven, J. S., Warburton, T.

We present an efficient nodal discontinuous Galerkin method for approximating nearly incompressible flows using the Boltzmann equations. The equations are discretized with Hermite polynomials in velocity space yielding a first order conservation law.

Externí odkaz: http://arxiv.org/abs/1805.02082

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Discontinuous Galerkin method for fractional convection-diffusion equations

Autor: Xu, Q., Hesthaven, J. S.

We propose a discontinuous Galerkin method for convection-subdiffusion equations with a fractional operator of order $\alpha (1<\alpha<2)$ defined through the fractional Laplacian. The fractional operator of order $\alpha$ is expressed as a composite

Externí odkaz: http://arxiv.org/abs/1304.6047

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