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Implement inverse map #552

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merged 3 commits into from
Mar 4, 2021
Merged

Implement inverse map #552

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fa02151
implemented inverse_map of AffineMap
ericneiva Jan 4, 2021
6ebfdda
bugfixed in CellField change_domain
ericneiva Jan 19, 2021
071ace2
Testing inverse map
fverdugo Mar 4, 2021
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2 changes: 1 addition & 1 deletion src/CellData/CellFields.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -113,7 +113,7 @@ function change_domain(a::CellField,::ReferenceDomain,::PhysicalDomain)
trian = get_triangulation(a)
cell_map = get_cell_map(trian)
cell_invmap = lazy_map(inverse_map,cell_map)
cell_field_ref = get_data(cell_field)
cell_field_ref = get_data(a)
cell_field_phys = lazy_map(Broadcasting(∘),cell_field_ref,cell_invmap)
GenericCellField(cell_field_phys,trian,PhysicalDomain())
end
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8 changes: 8 additions & 0 deletions src/Fields/AffineMaps.jl
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Expand Up @@ -69,3 +69,11 @@ function lazy_map(
cell_∇∇bt = lazy_map(transpose,cell_∇∇b)
cell_∇∇bt
end

function inverse_map(f::AffineMap)
Jt = f.gradient
y0 = f.origin
invJt = inv(Jt)
x0 = -y0⋅invJt
AffineMap(invJt,x0)
end
8 changes: 8 additions & 0 deletions test/CellDataTests/CellFieldsTests.jl
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Expand Up @@ -19,6 +19,13 @@ trian_D =BoundaryTriangulation(model,tags="tag_8")
trian_S =SkeletonTriangulation(model)
trian_0 =Triangulation(trian_D,Int[])

ϕ = GenericCellField(get_cell_map(trian),trian,ReferenceDomain())
ϕinv = GenericCellField(lazy_map(inverse_map,get_cell_map(trian)),trian,PhysicalDomain())
xref = get_cell_points(trian)
xphy = CellPoint(get_array(xref),trian,PhysicalDomain())
test_array(ϕ(xref),collect1d(ϕ(xphy)),(i,j)->all(map(≈,i,j)))
test_array(ϕinv(xref),collect1d(ϕinv(xphy)),(i,j)->all(map(≈,i,j)))

x = get_cell_points(trian)
@test DomainStyle(x) == ReferenceDomain()
@test get_array(x) == get_cell_coordinates(trian)
Expand Down Expand Up @@ -147,6 +154,7 @@ test_array(hx_N,collect(hx_N))




#np = 3
#ndofs = 4
#
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3 changes: 3 additions & 0 deletions test/FieldsTests/AffineMapsTests.jl
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Expand Up @@ -13,6 +13,8 @@ h = AffineMap(g,origin)
@test isa(∇(h),ConstantField)
@test isa(Broadcasting(∇)(h),ConstantField)

hinv = inverse_map(h)

x1 = Point(0,0)
x2 = Point(1,1)
x3 = Point(2,1)
Expand All @@ -24,6 +26,7 @@ r = Point{2,Int}[(1, 1), (3, 3), (5, 3)]
∇r = TensorValue{2,2,Int,4}[(2, 0, 0, 2), (2, 0, 0, 2), (2, 0, 0, 2)]
test_field(h,x,r,grad=∇r)
test_field(h,x1,x1⋅g+origin,grad=g)
test_field(hinv,r,x,grad=inv.(∇r))

ncells = 10
cell_to_h = fill(h,ncells)
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