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A Numerical Assessment of Finite Element Discretizations for Convection-diffusion-reaction Equations Satisfying Discrete Maximum Principles
Volker John
Petr Knobloch
Ondr̆ej Pártl
出版
Weierstraß-Institut für Angewandte Analysis und Stochastik Leibniz-Institut im Forschungsverbund Berlin e.V.
, 2022
URL
http://books.google.com.hk/books?id=-rFbzwEACAAJ&hl=&source=gbs_api
註釋
Numerical studies are presented that investigate finite element methods satisfying discrete maximum principles for convection-diffusion-reaction equations. Two linear methods and several nonlinear schemes, some of them proposed only recently, are included in these studies, which consider a number of two-dimensional examples. The evaluation of the results examines the accuracy of the numerical solutions with respect to quantities of interest, like layer widths, and the efficiency of the simulations.