"As introductury example we want to take a look at the specific configuration $\\sigma=1.0$, $\\lambda=0.15$ and $s=1.8$. We solve this problem with linear Lagrange finite elements and initialize $l_{\\text{init}} = [3, 4, 5]$ with $M_l^{\\text{init}} = [12, 6, 3]$. We aim for an $\\varepsilon = 0.01$ w.r.t the $L^2$-norm. First we are going to investigate the corresponding 1D problem before we will go ahead with the problem discribed above."

"As introductury example we want to take a look at the specific configuration $\\sigma=1.0$, $\\lambda=0.15$ and $s=1.8$. We solve this problem with linear Lagrange finite elements and initialize $l_{\\text{init}} = [3, 4, 5]$ with $M_l^{\\text{init}} = [12, 6, 3]$. We aim for an $\\varepsilon = 0.01$ w.r.t the $L^2$-norm. "