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• W2051377170 abstract "We present an Eulerian-Lagrangian localized adjoint method (ELLAM) for linear advection-reaction partial differential equations in multiple space dimensions. We carry out numerical experiments to investigate the performance of the ELLAM scheme with a range of well-perceived and widely used methods in fluid dynamics including the monotonic upstream-centered scheme for conservation laws (MUSCL), the minmod method, the flux-corrected transport method (FCT), and the essentially non-oscillatory (ENO) schemes and weighted essentially non-oscillatory (WENO) schemes. These experiments show that the ELLAM scheme is very competitive with these methods in the context of linear transport PDEs, and suggest/justify the development of ELLAM-based simulators for subsurface porous medium flows and other applications. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 19: 22–43, 2003" @default.
• W2051377170 created "2016-06-24" @default.
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• W2051377170 date "2002-12-10" @default.
• W2051377170 modified "2023-09-26" @default.
• W2051377170 title "A preliminary investigation on an ELLAM scheme for linear transport equations" @default.
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• W2051377170 doi "https://doi.org/10.1002/num.10042" @default.
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