Reference interpolation and integration

[maltezfaria]

Implement the basic functionality needed to integrate and interpolate over an AbstractReferenceShape.

Things we may want to cover:

• Hard-coded low-degree Lagrange interpolation
• Some regular quadrature rules
• A generic implementation of $P_k$ elements

[maltezfaria]

I also decided to flatten the package structure a bit. Up for discussion.

[codecov]

Codecov Report

Attention: 90 lines in your changes are missing coverage. Please review.

Comparison is base (22fd8e0) 100.00% compared to head (d715c49) 54.77%.

Additional details and impacted files

@@             Coverage Diff              @@
##              main       #3       +/-   ##
============================================
- Coverage   100.00%   54.77%   -45.23%     
============================================
  Files            2        5        +3     
  Lines           17      199      +182     
============================================
+ Hits            17      109       +92     
- Misses           0       90       +90     

Files	Coverage Δ
src/Inti.jl	100.00% <ø> (ø)
src/reference_shapes.jl	100.00% <100.00%> (ø)
src/utils.jl	100.00% <100.00%> (ø)
src/reference_integration.jl	69.56% <69.56%> (ø)
src/reference_interpolation.jl	24.39% <24.39%> (ø)

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[tanderson92]

I left a few comments.

@maltezfaria Would you like me to bring in Vioreanu-Rokhlin quadratures (for now, interpolation later perhaps) for tris/tets into this branch?

[maltezfaria]

I left a few comments.

@maltezfaria Would you like me to bring in Vioreanu-Rokhlin quadratures (for now, interpolation later perhaps) for tris/tets into this branch?

I think we should, but I suggest we move forward with the domain/mesh part, then with integral operators, so that we get the ball rolling. But yes, that is definitely something we should keep on the radar for the near future. Maybe open an issue?

[tanderson92]

I left a few comments.
@maltezfaria Would you like me to bring in Vioreanu-Rokhlin quadratures (for now, interpolation later perhaps) for tris/tets into this branch?

I think we should, but I suggest we move forward with the domain/mesh part, then with integral operators, so that we get the ball rolling. But yes, that is definitely something we should keep on the radar for the near future. Maybe open an issue?

Yes, looks good to me.