Zobrazeno 1 - 10
of 111
pro vyhledávání: '"Semplice, Matteo"'
Weights are geometrical degrees of freedom that allow to generalise Lagrangian finite elements. They are defined through integrals over specific supports, well understood in terms of differential forms and integration, and lie within the framework of
Externí odkaz:
http://arxiv.org/abs/2311.01467
Many interesting physical problems described by systems of hyperbolic conservation laws are stiff, and thus impose a very small time-step because of the restrictive CFL stability condition. In this case, one can exploit the superior stability propert
Externí odkaz:
http://arxiv.org/abs/2307.14685
We present a Boundary Local Fourier Analysis (BLFA) to optimize the relaxation parameters of boundary conditions in a multigrid framework. The method is implemented to solve elliptic equations on curved domains embedded in a uniform Cartesian mesh, a
Externí odkaz:
http://arxiv.org/abs/2207.14208
Publikováno v:
Numerische Mathematik 2021-12
The incompressible Navier-Stokes equations are solved in a channel, using a Discontinuous Galerkin method over staggered grids. The resulting linear systems are studied both in terms of the structure and in terms of the spectral features of the relat
Externí odkaz:
http://arxiv.org/abs/2103.11913
Autor:
Semplice, Matteo, Visconti, Giuseppe
Publikováno v:
Journal of Scientific Computing (2020) 83:1-27
Including polynomials with small degree and stencil when designing very high order reconstructions is surely beneficial for their non oscillatory properties, but may bring loss of accuracy on smooth data unless special care is exerted. In this paper
Externí odkaz:
http://arxiv.org/abs/1910.03559
Autor:
Gerster, Stephan, Semplice, Matteo
Publikováno v:
In Journal of Computational Physics 15 September 2023 489
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Publikováno v:
Applied Mathematics and Computation 386 (2020) 125503
Having in mind the modelling of marble degradation under chemical pollutants, e.g.~the sulfation process, we consider governing nonlinear diffusion equations and their numerical approximation.The space domain of a computation is the pristine marble o
Externí odkaz:
http://arxiv.org/abs/1902.07029
Publikováno v:
In Journal of Computational Physics 1 April 2023 478
Publikováno v:
SIAM J. Numer. Anal. (2019) Vol. 57, Issue 5, pages 2328-2358
Central WENO reconstruction procedures have shown very good performances in finite volume and finite difference schemes for hyperbolic conservation and balance laws in one and more space dimensions, on different types of meshes. Their most recent for
Externí odkaz:
http://arxiv.org/abs/1811.08688