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h1-stability

The codes provided in this repository are a supplement of the work

[1] H^1-Stability of the L^2-Projection onto Finite Element Spaces on Adaptively Refined Quadrilateral Meshes, Mazen Ali, Stefan A. Funken, Anja Schmidt, arXiv preprint 2020, https://arxiv.org/abs/2008.12759

This repository consists of

• MAPLE code to compute local mass matrices for triangles and quadrilaterals, polynomial degree can be varied
• mass matrices stored as .mat-files for further computation in MATLAB
• MATLAB code to solve eigenvalue problem as described in [1], polynomial degree and number of hanging nodes can be varied

The tables in [1] represent the results from the codes

• compute_table_tri for triangular elements without hanging nodes
• compute_table for parallelogrgam elements with 0,1,2 hanging nodes
• compute_table_nonlinear for general quadrilateral elements (with some restrictions)