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dof with singular mesh

From: Edouard Oudet
Subject: dof with singular mesh
Date: Tue, 11 May 2021 16:11:23 +0200
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:78.0) Gecko/20100101 Thunderbird/78.8.1

Dear getfem users,

Using the python interface of Getfem++, I obtained surprising results related to the representation of degrees of freedom for a singular mesh associated to a square with two circular holes. One of the hole has a very small radius see picture

This mesh can be downloaded at

Using the following instructions

filemesh = '/tmp/savemesh.mesh'
tmesh = getfem.Mesh("load", filemesh)
tmeshfem = getfem.MeshFem(tmesh, 1)
tmeshfem.set_fem(getfem.Fem('FEM_PK(2, 4)'))
pdof = getfem.MeshFem.get(tmeshfem, 'basic dof nodes')

and plotting these pdof points I obtained the following picture around the small circle

As it can be observed some dof are missing.. I do not get this problem for a degree smaller than 4.
Any suggestions are welcome,



Edouard Oudet :
IMAG - Bureau 164
700 avenue Centrale
38400 Saint Martin d'Hères
+33 (0)4 57 42 17 71  (office LJK)

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