[petsc-users] basis functions of high order approximation (FE)
Yann Jobic
yann.jobic at univ-amu.fr
Tue Jan 8 03:31:58 CST 2019
Dear Petsc Users,
I've been playing with the option "space_degree", in 2D, for a space
discretisation of 4 cells (2x2), for a poisson problem, and i wonder
what are the underlying concepts.
With a space degree 2, i get a 9x9 algebraic system, and i've got a
solution convergence order of 3.
With a space degree 3, i get a 25x25 algebraic system, and i've got a
solution convergence order of 4.
So my question is : what are the basis functions associated with each
space degree ?
Are they lagrange polynomials or something else ?
Thanks!
Yann
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