Tips and Tricks


In construction…

Efficient projection on DG or Quadrature spaces

For projecting a Function on a DG or Quadrature space, that is a space with no coupling between elements, the projection can be performed element-wise. For this purpose, using the LocalSolver is much faster than performing a global projection:

metadata={"quadrature_degree": deg}
def local_project(v,V):
    dv = TrialFunction(V)
    v_ = TestFunction(V)
    a_proj = inner(dv,v_)*dx(metadata=metadata)
    b_proj = inner(v,v_)*dx(metadata=metadata)
    solver = LocalSolver(a_proj,b_proj)
    u = Function(V)
    return u

Local factorizations can be cached if projection is performed many times.