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Reduced AC space order 1 #2

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@rezgarshakeri rezgarshakeri commented Feb 17, 2021

This PR solves Darcy equation in 2D using reduced AC space of order 1:

  • Different types of mesh and MMS solutions are provided.
  • The convergence rate is performed using quartic function for different types of mesh and obtained expected rate for velocity and pressure.
  • The inf-sup test is done for several mesh distributions.

@rezgarshakeri
added Piola transformation and checked with unit test
a7350b1
@rezgarshakeri
added basis function and checked with BDM and worked
4026e35
@rezgarshakeri
added ACspace but does not work
f45c707
@rezgarshakeri
added unit test for BDMspace
8e893f8
@rezgarshakeri
changed vertices numbering in AC to be consistent with what we have i…
824ade6 
…n BDM
@rezgarshakeri
fixed the bug
59dc9a3
@rezgarshakeri
inverse Piola needed to be defined
98f5e6b
@rezgarshakeri
added unit test for AC basis
916cb78
@rezgarshakeri
added in-line explanation
0940962
@rezgarshakeri
added quadrature
c27fc08
@rezgarshakeri
quadrature function testing passed
5558ecd
@rezgarshakeri
added explanation in GetQuadrature function
6bc99ee
@rezgarshakeri
function get normal added
aa7f361
@rezgarshakeri
added explanation
d311fba
@rezgarshakeri
test of GetNormal function passed
9d5caf0
@rezgarshakeri
added fig3.5 of Tao's Phd Thesis just in case
d461b6a
@rezgarshakeri
fixed some typo
be7aeb3
@rezgarshakeri
test AC nodal basis on distorted element E, passed
4d049a8
@rezgarshakeri
clean up some function
f4f9931
@rezgarshakeri
added GetElementMat function to construc the saddle point problem on …
b79acaa 
…element E
@rezgarshakeri
added connectivity function
e4cf881
@rezgarshakeri
connectivity function test passed
d2c5ee4
@rezgarshakeri
added GetNodesCoord function
dea716a
@rezgarshakeri
GetNodeCoord function testing passed
8fb0877
@rezgarshakeri
added GetID_LM function
d0c062b
@rezgarshakeri
test ID,LM passed
a33dbb4
@rezgarshakeri
added Assembly function
f929e21
@rezgarshakeri
added Assembly function
db26971
@rezgarshakeri
checked the error of u and p, something is wrong!
f650e8c
@rezgarshakeri
created AC basis
88f9818
@bishtgautam
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bishtgautam commented Feb 17, 2021

I don't believe I'm qualified to review this PR, so I'm removing myself from the reviewer list.

@bishtgautam bishtgautam removed their request for review February 17, 2021 19:57
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@jedbrown jedbrown Awaiting requested review from jedbrown

@knepley knepley Awaiting requested review from knepley

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3 participants

@rezgarshakeri @bishtgautam