Investigation of diffusion in \(p\)-version ''LSFE'' and ''STLSFE'' formulations
It is demonstrated that when using \(p\)-versions of STLSFE or LSFE, no difficulties are encountered in formulation as well as in the solution procedure. In the \(p\)-versions of STLSFE and LSFE, numerical diffusion can be completely eliminated by mesh refinement and \(p\)-level increase, and the formulations are free of inherent diffusion. Two-dimensional steady convection-diffusion problems are used as exemplary cases. One- dimensional transient problems also considered in the paper include pure advection, convection-diffusion, and Burgers' equations.
scientific article; zbMATH DE number 797290