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Making Lagrange2Tri345 interpolation values exact #633

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merged 2 commits into from
Mar 23, 2023
Merged

Making Lagrange2Tri345 interpolation values exact #633

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97b80d8
Lagrange2Tri345 interpolation test passed
AbdAlazezAhmed Mar 22, 2023
2519719
Update src/interpolations.jl
fredrikekre Mar 23, 2023
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5 changes: 2 additions & 3 deletions src/interpolations.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -552,10 +552,9 @@ function value(ip::Lagrange2Tri345, i::Int, ξ::Vec{2})
i = permdof2DLagrange2Tri345[order][i]
ξ_x = ξ[1]
ξ_y = ξ[2]
γ = 1. - ξ_x - ξ_y
i1, i2, i3 = _numlin_basis2D(i, order)
val = one(γ)
i1 ≥ 1 && (val *= prod((order * γ - j) / (j + 1) for j = 0:(i1 - 1)))
val = one(ξ_y)
i1 ≥ 1 && (val *= prod((order - order * (ξ_x + ξ_y ) - j) / (j + 1) for j = 0:(i1 - 1)))
i2 ≥ 1 && (val *= prod((order * ξ_x - j) / (j + 1) for j = 0:(i2 - 1)))
i3 ≥ 1 && (val *= prod((order * ξ_y - j) / (j + 1) for j = 0:(i3 - 1)))
return val
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2 changes: 1 addition & 1 deletion test/test_interpolations.jl
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Expand Up @@ -9,7 +9,7 @@
Lagrange{2, RefTetrahedron, 2}(),
Lagrange{2, RefTetrahedron, 3}(),
Lagrange{2, RefTetrahedron, 4}(),
#Lagrange{2, RefTetrahedron, 5}(),
Lagrange{2, RefTetrahedron, 5}(),
Lagrange{3, RefCube, 1}(),
Lagrange{3, RefCube, 2}(),
Serendipity{2, RefCube, 2}(),
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