This directory contains two files, kernel.h and kernel.cpp, both of which are related to the line-SIAC (L-SIAC) filtering [26, 41] of FEM solutions. SIAC filtering takes the form:
where uh denotes the FEM (continuous Galkerkin or discontinuous Galerkin) solution and KH represents a kernel function:
In this expression, the functions ψ(x) are B-Splines. The two kernel files in this directory provide all the tools needed to construct the B-Spline functions and the kernel function described above.