Metodi Numerici Avanzati per Equazioni alle Derivate Parziali

Codes for the examination of the Metodi Numerici Avanzati per Equazioni alle Derivate Parziali¹ course at UniMiB.

Implementation of the Crouzeix-Raviart Element to solve the Stokes problem with homogeneous Dirichlet boundary data.

Contents

• /src/*
  • /src/solver.m Solver implementation for the Stokes problem on the mesh.
  • /src/basis.m Basis functions for velocity.
  • /src/gradbasis.m Computation of gradients of basis functions for velocity.
  • /src/pressurebasis.m Basis functions for pressure.
  • /src/loading.m Source definition.
  • /src/exact.m Implementation of the exact solution for the specified source.
  • /src/quadrature.m Quadrature nodes for the reference element.
  • /src/errorTrend.m Generation of plots to visualize error trends.
  • /src/meshinfo.m Sizes and DOFs info.
  • /src/reload.m Wrapper for the errorTrend function.
  • /src/quadmeshes.mat Predefined mesh.

Footnotes

1. Advanced Numerical Methods for Partial Differential Equations. ↩