A local discontinuous Galerkin method for the compressible Reynolds lubrication equation

Iñigo Arregui, J. Jesús Cendán and María González

Applied Mathematics and Computation, 2019, vol. 349, issue C, 337-347

Abstract: We present an extension of the local discontinuous Galerkin (LDG) method introduced in [9] for nonlinear diffusion problems to nonlinear stationary convection–diffusion problems. We develop a numerical study of the convergence properties of the new method and solve the stationary compressible Reynolds lubrication equation under some realistic conditions.

Keywords: Reynolds equation; Discontinuous Galerkin method; Hydrodynamic problem; Convection–diffusion (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:349:y:2019:i:c:p:337-347

DOI: 10.1016/j.amc.2018.12.060

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