Quadrature options using type dispatch#8
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…` to create quadrature options chosen by type dispatch.
…` where the integration range on the element is permitted to be different from the normal `[-1,1]` (reference coords) `[c - s, c + s]` (physical coordinates). We supply the minimum and maximum limits to be used through `GLSpecifiedLimits(v_min,v_max)` in the physical coordinate `v = s x + c` with `x` the reference coordinate and `s` and `c` the scale and shift factors, respectively. Test this feature by computing the mass matrix for 1D linear and nonlinear operators, and 2D linear operators, using the default method, and by adding together results of the integration over subdomains.
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Options for 1D quadrature using type dispatch. We introduce and abstract type
and the structs
Default1DQuadrature <: Abstract1DQuadratureandGLSpecifiedLimits <: Abstract1DQuadrature.The default options
correspond to a Gauss-Legendre quadrature between the element boundaries.
The options
correspond to a Gauss-Legendre quadrature in the ranges
[max(v_l,v_min), min(v_u,v_max)]wherev_landv_uare the lower and upper element boundaries for the element in question, respectively.The
GLSpecifiedLimits()quadrature option is useful when the kernel function is nonzero or supported only over a range[v_min,v_max]which does not perfectly overlap with[v_l,v_u].