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JuliaFEM.jl/test/test_lagrange.jl
T
2016-07-03 05:00:01 +03:00

52 lines
1.4 KiB
Julia

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
using JuliaFEM
using JuliaFEM.Test
ALL_ELEMENTS = [
Seg2, Seg3,
Tri3, Tri6, Quad4, Quad8, Quad9,
Tet4, Tet10, Hex8, Hex20, Hex27
]
@testset "Evaluating basis" begin
for T in ALL_ELEMENTS
el = Element(T)
nnodes = length(el)
for (i, X) in enumerate(get_reference_coordinates(T))
Ni = vec(el(X))
expected = zeros(nnodes)
expected[i] = 1.0
@test isapprox(Ni, expected)
end
end
end
function get_volume{T<:AbstractElement}(::Type{T})
X = get_reference_coordinates(T)
element = Element(T)
update!(element, "geometry", X)
V = 0.0
for ip in get_integration_points(element)
V += ip.weight*element(ip, 0.0, Val{:detJ})
end
return V
end
@testset "Calculate reference element length/area/volume" begin
@test isapprox(get_volume(Seg2), 2.0)
@test isapprox(get_volume(Seg3), 2.0)
@test isapprox(get_volume(Tri3), 0.5)
@test isapprox(get_volume(Tri6), 0.5)
@test isapprox(get_volume(Quad4), 2.0^2)
@test isapprox(get_volume(Quad8), 2.0^2)
@test isapprox(get_volume(Quad9), 2.0^2)
@test isapprox(get_volume(Tet4), 1/6)
@test isapprox(get_volume(Tet10), 1/6)
@test isapprox(get_volume(Hex8), 2.0^3)
@test isapprox(get_volume(Hex20), 2.0^3)
@test isapprox(get_volume(Hex27), 2.0^3)
end