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consolidation quadstrats - tests pass
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -1,265 +1 @@ | ||
| # function pulled_back_integrand(op::HH3DSingleLayerFDBIO, | ||
| # test_local_space::LagrangeRefSpace, | ||
| # trial_local_space::LagrangeRefSpace, | ||
| # test_chart, trial_chart) | ||
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| # (u,v) -> begin | ||
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| # x = neighborhood(test_chart,u) | ||
| # y = neighborhood(trial_chart,v) | ||
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| # f = test_local_space(x) | ||
| # g = trial_local_space(y) | ||
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| # j = jacobian(x) * jacobian(y) | ||
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| # α = op.alpha | ||
| # γ = gamma(op) | ||
| # R = norm(cartesian(x)-cartesian(y)) | ||
| # G = exp(-γ*R)/(4*π*R) | ||
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| # αjG = α*G*j | ||
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| # SMatrix{length(f),length(g)}((f[j].value * αjG * g[i].value for i in 1:length(g) for j in 1:length(f) )...) | ||
| # end | ||
| # end | ||
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| # function pulled_back_integrand(op::HH3DHyperSingularFDBIO, | ||
| # test_local_space::LagrangeRefSpace, | ||
| # trial_local_space::LagrangeRefSpace, | ||
| # test_chart, trial_chart) | ||
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| # (u,v) -> begin | ||
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| # x = neighborhood(test_chart,u) | ||
| # y = neighborhood(trial_chart,v) | ||
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| # nx = normal(x) | ||
| # ny = normal(y) | ||
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| # f = test_local_space(x) | ||
| # g = trial_local_space(y) | ||
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| # j = jacobian(x) * jacobian(y) | ||
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| # α = op.alpha | ||
| # β = op.beta | ||
| # γ = gamma(op) | ||
| # R = norm(cartesian(x)-cartesian(y)) | ||
| # G = exp(-γ*R)/(4*π*R) | ||
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| # αjG = ny*α*G*j | ||
| # βjG = β*G*j | ||
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| # A = SA[(αjG*g[i].value for i in 1:length(g))...] | ||
| # B = SA[(βjG*g[i].curl for i in 1:length(g))...] | ||
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| # SMatrix{length(f),length(g)}((((dot(nx*f[j].value,A[i])+dot(f[j].curl,B[i])) for i in 1:length(g) for j in 1:length(f))...)) | ||
| # end | ||
| # end | ||
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| # function pulled_back_integrand(op::HH3DDoubleLayerFDBIO, | ||
| # test_local_space::LagrangeRefSpace, | ||
| # trial_local_space::LagrangeRefSpace, | ||
| # test_chart, trial_chart) | ||
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| # (u,v) -> begin | ||
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| # x = neighborhood(test_chart,u) | ||
| # y = neighborhood(trial_chart,v) | ||
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| # ny = normal(y) | ||
| # f = test_local_space(x) | ||
| # g = trial_local_space(y) | ||
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| # j = jacobian(x) * jacobian(y) | ||
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| # α = op.alpha | ||
| # γ = gamma(op) | ||
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| # r = cartesian(x) - cartesian(y) | ||
| # R = norm(r) | ||
| # G = exp(-γ*R)/(4*π*R) | ||
| # inv_R = 1/R | ||
| # ∇G = -(γ + inv_R) * G * inv_R * r | ||
| # αnyj∇G = dot(ny,-α*∇G*j) | ||
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| # SMatrix{length(f),length(g)}((f[j].value * αnyj∇G * g[i].value for i in 1:length(g) for j in 1:length(f))...) | ||
| # end | ||
| # end | ||
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| # function pulled_back_integrand(op::HH3DDoubleLayerTransposedFDBIO, | ||
| # test_local_space::LagrangeRefSpace, | ||
| # trial_local_space::LagrangeRefSpace, | ||
| # test_chart, trial_chart) | ||
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| # (u,v) -> begin | ||
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| # x = neighborhood(test_chart,u) | ||
| # y = neighborhood(trial_chart,v) | ||
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| # nx = normal(x) | ||
| # f = test_local_space(x) | ||
| # g = trial_local_space(y) | ||
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| # j = jacobian(x) * jacobian(y) | ||
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| # α = op.alpha | ||
| # γ = gamma(op) | ||
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| # r = cartesian(x) - cartesian(y) | ||
| # R = norm(r) | ||
| # G = exp(-γ*R)/(4*π*R) | ||
| # inv_R = 1/R | ||
| # ∇G = -(γ + inv_R) * G * inv_R * r | ||
| # αnxj∇G = dot(nx,α*∇G*j) | ||
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| # SMatrix{length(f),length(g)}((f[j].value * αnxj∇G * g[i].value for i in 1:length(g) for j in 1:length(f))...) | ||
| # end | ||
| # end | ||
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| # function momintegrals!(op::Helmholtz3DOp, | ||
| # test_local_space::LagrangeRefSpace{<:Any,0}, trial_local_space::LagrangeRefSpace{<:Any,0}, | ||
| # test_triangular_element, trial_triangular_element, out, strat::SauterSchwabStrategy) | ||
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| # I, J, K, L = SauterSchwabQuadrature.reorder( | ||
| # test_triangular_element.vertices, | ||
| # trial_triangular_element.vertices, strat) | ||
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| # test_triangular_element = simplex( | ||
| # test_triangular_element.vertices[I[1]], | ||
| # test_triangular_element.vertices[I[2]], | ||
| # test_triangular_element.vertices[I[3]]) | ||
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| # trial_triangular_element = simplex( | ||
| # trial_triangular_element.vertices[J[1]], | ||
| # trial_triangular_element.vertices[J[2]], | ||
| # trial_triangular_element.vertices[J[3]]) | ||
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| # test_sign = Combinatorics.levicivita(I) | ||
| # trial_sign = Combinatorics.levicivita(J) | ||
| # σ = momintegrals_sign(op, test_sign, trial_sign) | ||
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| # igd = pulled_back_integrand(op, test_local_space, trial_local_space, | ||
| # test_triangular_element, trial_triangular_element) | ||
| # G = SauterSchwabQuadrature.sauterschwab_parameterized(igd, strat) | ||
| # out[1,1] += G[1,1] * σ | ||
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| # nothing | ||
| # end | ||
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| # function momintegrals!(op::Helmholtz3DOp, | ||
| # test_local_space::LagrangeRefSpace, trial_local_space::LagrangeRefSpace, | ||
| # test_triangular_element, trial_triangular_element, out, strat::SauterSchwabStrategy) | ||
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| # I, J, K, L = SauterSchwabQuadrature.reorder( | ||
| # test_triangular_element.vertices, | ||
| # trial_triangular_element.vertices, strat) | ||
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| # test_triangular_element = simplex( | ||
| # test_triangular_element.vertices[I[1]], | ||
| # test_triangular_element.vertices[I[2]], | ||
| # test_triangular_element.vertices[I[3]]) | ||
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| # trial_triangular_element = simplex( | ||
| # trial_triangular_element.vertices[J[1]], | ||
| # trial_triangular_element.vertices[J[2]], | ||
| # trial_triangular_element.vertices[J[3]]) | ||
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| # test_sign = Combinatorics.levicivita(I) | ||
| # trial_sign = Combinatorics.levicivita(J) | ||
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| # σ = momintegrals_sign(op, test_sign, trial_sign) | ||
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| # igd = pulled_back_integrand(op, test_local_space, trial_local_space, | ||
| # test_triangular_element, trial_triangular_element) | ||
| # G = SauterSchwabQuadrature.sauterschwab_parameterized(igd, strat) | ||
| # for j ∈ 1:3, i ∈ 1:3 | ||
| # out[i,j] += G[K[i],L[j]] * σ | ||
| # end | ||
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| # nothing | ||
| # end | ||
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| # function momintegrals!(op::Helmholtz3DOp, | ||
| # test_local_space::LagrangeRefSpace{<:Any,0}, trial_local_space::LagrangeRefSpace{<:Any,1}, | ||
| # test_triangular_element, trial_triangular_element, out, strat::SauterSchwabStrategy) | ||
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| # I, J, K, L = SauterSchwabQuadrature.reorder( | ||
| # test_triangular_element.vertices, | ||
| # trial_triangular_element.vertices, strat) | ||
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| # test_triangular_element = simplex( | ||
| # test_triangular_element.vertices[I[1]], | ||
| # test_triangular_element.vertices[I[2]], | ||
| # test_triangular_element.vertices[I[3]]) | ||
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| # trial_triangular_element = simplex( | ||
| # trial_triangular_element.vertices[J[1]], | ||
| # trial_triangular_element.vertices[J[2]], | ||
| # trial_triangular_element.vertices[J[3]]) | ||
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| # test_sign = Combinatorics.levicivita(I) | ||
| # trial_sign = Combinatorics.levicivita(J) | ||
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| # σ = momintegrals_sign(op, test_sign, trial_sign) | ||
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| # igd = pulled_back_integrand(op, test_local_space, trial_local_space, | ||
| # test_triangular_element, trial_triangular_element) | ||
| # G = SauterSchwabQuadrature.sauterschwab_parameterized(igd, strat) | ||
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| # for i ∈ 1:3 | ||
| # out[1,i] += G[L[i]] * σ | ||
| # end | ||
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| # nothing | ||
| # end | ||
|
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| # function momintegrals!(op::Helmholtz3DOp, | ||
| # test_local_space::LagrangeRefSpace{<:Any,1}, trial_local_space::LagrangeRefSpace{<:Any,0}, | ||
| # test_triangular_element, trial_triangular_element, out, strat::SauterSchwabStrategy) | ||
|
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| # I, J, K, L = SauterSchwabQuadrature.reorder( | ||
| # test_triangular_element.vertices, | ||
| # trial_triangular_element.vertices, strat) | ||
|
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| # test_triangular_element = simplex( | ||
| # test_triangular_element.vertices[I[1]], | ||
| # test_triangular_element.vertices[I[2]], | ||
| # test_triangular_element.vertices[I[3]]) | ||
|
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| # trial_triangular_element = simplex( | ||
| # trial_triangular_element.vertices[J[1]], | ||
| # trial_triangular_element.vertices[J[2]], | ||
| # trial_triangular_element.vertices[J[3]]) | ||
|
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| # test_sign = Combinatorics.levicivita(I) | ||
| # trial_sign = Combinatorics.levicivita(J) | ||
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| # σ = momintegrals_sign(op, test_sign, trial_sign) | ||
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| # igd = pulled_back_integrand(op, test_local_space, trial_local_space, | ||
| # test_triangular_element, trial_triangular_element) | ||
| # G = SauterSchwabQuadrature.sauterschwab_parameterized(igd, strat) | ||
|
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| # for i ∈ 1:3 | ||
| # out[i,1] += G[K[i]] * σ | ||
| # end | ||
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| # nothing | ||
| # end | ||
|
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| # function momintegrals_sign(op::HH3DSingleLayerFDBIO, test_sign, trial_sign) | ||
| # return 1 | ||
| # end | ||
| # function momintegrals_sign(op::HH3DDoubleLayerFDBIO, test_sign, trial_sign) | ||
| # return trial_sign | ||
| # end | ||
| # function momintegrals_sign(op::HH3DDoubleLayerTransposedFDBIO, test_sign, trial_sign) | ||
| # return test_sign | ||
| # end | ||
| # function momintegrals_sign(op::HH3DHyperSingularFDBIO, test_sign, trial_sign) | ||
| # return test_sign * trial_sign | ||
| # end |
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