Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux
نویسندگان
چکیده
منابع مشابه
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
Abstract. We consider scalar conservation laws with the spatially varying flux H(x)f(u)+(1−H(x))g(u), where H(x) is the Heaviside function and f and g are smooth nonlinear functions. Adimurthi, Mishra, and Veerappa Gowda [J. Hyperbolic Differ. Equ. 2:783–837, 2005] pointed out that such a conservation law admits many L contraction semigroups, one for each so-called connection (A,B). Here we def...
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The subject of this paper is a scalar finite difference algorithm, based on the Godunov or Engquist-Osher flux, for scalar conservation laws where the flux is spatially dependent through a possibly discontinuous coefficient, k. The discretization of k is staggered with respect to the discretization of the conserved quantity u, so that only a scalar Riemann solver is required. The main result of...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2020
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-020-01150-y