High-order interpolatory Serendipity Virtual Element Method for semilinear parabolic problems

We present an efficient method for the numerical approximation of a general class of two dimensional semilinear parabolic problems on polygonal meshes. The proposed approach takes advantage of the properties of the serendipity version of the Virtual Element Method, which not only reduces the number of degrees of freedom compared to the original Virtual Element Method, but also allows for the introduction of an approximation of the nonlinear term...