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https://github.com/JuliaFEM/JuliaFEM.jl.git
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Jukka Aho
2f972c1106
New 31-line test for partition of unity property: - Tests that sum of basis functions equals 1.0 - Covers Seg2, Tri3, Quad4 elements - Included in test/basis/runtests.jl - Validates fundamental basis function property Ensures basis functions satisfy partition of unity requirement.
32 lines
962 B
Julia
32 lines
962 B
Julia
# Test partition of unity property: sum(N) = 1
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using Test
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using StaticArrays, Tensors
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include("../../src/topology/api.jl")
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include("../../src/topology/segments.jl")
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include("../../src/topology/triangles.jl")
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include("../../src/topology/quadrilaterals.jl")
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include("../../src/topology/tetrahedra.jl")
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include("../../src/topology/hexahedra.jl")
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include("../../src/topology/pyramids.jl")
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include("../../src/topology/wedges.jl")
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include("../../src/basis/api.jl")
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include("../../src/basis/basis_generated.jl")
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@testset "Partition of Unity" begin
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@testset "Seg2" begin
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N = get_basis_functions(Seg2(), Lagrange{1}(), Vec{1}((0.3,)))
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@test sum(N) ≈ 1.0
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end
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@testset "Tri3" begin
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N = get_basis_functions(Tri3(), Lagrange{1}(), Vec{2}((0.4, 0.3)))
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@test sum(N) ≈ 1.0
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end
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@testset "Quad4" begin
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N = get_basis_functions(Quad4(), Lagrange{1}(), Vec{2}((0.5, -0.5)))
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@test sum(N) ≈ 1.0
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end
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end
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