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MOC
2000
68views more  MOC 2000»
13 years 4 months ago
Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
Conservative linear equations arise in many areas of application, including continuum mechanics or high-frequency geometrical optics approximations. This kind of equation admits mo...
Laurent Gosse, François James
AMC
2006
105views more  AMC 2006»
13 years 5 months ago
Stable numerical methods for conservation laws with discontinuous flux function
We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
Mohammed Seaïd
SIAMNUM
2010
116views more  SIAMNUM 2010»
12 years 11 months ago
Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approxima
This paper continues the convergence analysis in [M. Giles and S. Ulbrich, SIAM J. Numer. Anal., 48 (2010), pp. 882
Mike Giles, Stefan Ulbrich
JSCIC
2010
150views more  JSCIC 2010»
12 years 11 months ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev
JSCIC
2008
134views more  JSCIC 2008»
13 years 4 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove