Shishkin mesh simulation: A new stabilization technique for convection-diffusion problems and complementary experiments
For researchers in computational fluid dynamics and numerical analysis, this work offers a new stabilization technique for convection-diffusion problems, though it is incremental as it builds on existing Shishkin mesh ideas.
The paper presents a new stabilization technique (Shishkin mesh simulation, SMS) for convection-diffusion problems, demonstrating its performance through numerical experiments. The method is shown to be effective, with source codes provided for reproducibility.
We present together in this document the paper B. García-Archilla, Shiskin mesh simulation: A new stabilization technique for convection-diffusion problems, Comput. Methods Appl. Mech. Engrg., 256 (2013), 1-16, and the manuscript B. Garc\'ıa-Archilla, Shiskin mesh simulation: Complementary experiments, which contains some of the experiments that, for the sake of brevity were not included in the first one. This second paper with complementary experiments is neither self-contained nor intended to be published in any major journal, but is intended to be accessible to anyone wishing to learn more on theperformance of the SMS method. Following a principle of reproducible computational research, the source codes of the experiments in the present papers are available from the author on request or on "http://personal.us.es/bga/bga_files/software_bga.html". Excluded are the codes corresponding to Example 7 which is subject of current resarch