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» Analysis of Discrete Adjoints for Upwind Numerical Schemes
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ICCS
2005
Springer
13 years 10 months ago
Analysis of Discrete Adjoints for Upwind Numerical Schemes
Abstract. This paper discusses several aspects related to the consistency and stability of the discrete adjoints of upwind numerical schemes. First and third order upwind discretiz...
Zheng Liu, Adrian Sandu
MOC
2000
67views more  MOC 2000»
13 years 4 months ago
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
In this paper we shall derive a posteriori error estimates in the L1-norm for upwind finite volume schemes for the discretization of nonlinear conservation laws on unstructured gri...
Dietmar Kröner, Mario Ohlberger
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
MOC
2011
12 years 11 months ago
Convergence of a mixed method for a semi-stationary compressible Stokes system
We propose and analyze a finite element method for a semi– stationary Stokes system modeling compressible fluid flow subject to a Navier– slip boundary condition. The veloci...
Kenneth H. Karlsen, Trygve K. Karper
JSCIC
2007
125views more  JSCIC 2007»
13 years 4 months ago
Discrete Fundamental Solution Preconditioning for Hyperbolic Systems of PDE
We present a new preconditioner for the iterative solution of linear systems of equations arising from discretizations of systems of first order partial differential equations (P...
Henrik Brandén, Sverker Holmgren, Per Sundq...