Finite volume methods for numerical simulation of the discharge motion described by different physical models
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DOI: 10.1007/s10444-019-09706-9
Abstract: This paper deals with the numerical solution of an ionization wave propagation in air, described by a coupled set of convection-diffusion-reaction equations and a Poisson equation. The standard three-species and more complex eleven-species models with… read more here.
Keywords: numerical simulation; volume methods; finite volume; methods numerical ... See more keywords
Superconvergence of Immersed Finite Volume Methods for One-Dimensional Interface Problems
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DOI: 10.1007/s10915-017-0532-6
Abstract: In this paper, we introduce a class of high order immersed finite volume methods (IFVM) for one-dimensional interface problems. We show the optimal convergence of IFVM in $$H^1$$H1- and $$L^2$$L2-norms. We also prove some superconvergence… read more here.
Keywords: immersed finite; volume methods; interface problems; finite volume ... See more keywords