mirror of
https://github.com/JuliaFEM/JuliaFEM.jl.git
synced 2026-09-18 09:41:31 +00:00
removed null space related code as obsolete
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@@ -184,55 +184,6 @@ function get_boundary_assembly(solver::Solver)
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return K, C1, C2, D, f, g
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end
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function resize!(A::SparseMatrixCSC, m::Int64, n::Int64)
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(n == A.n) && (m == A.m) && return
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@assert n >= A.n
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@assert m >= A.m
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append!(A.colptr, A.colptr[end]*ones(Int, m-A.m))
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A.n = n
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A.m = m
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end
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"""
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Given C and g, construct new basis such that v = P*u + g
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Parameters
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----------
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S set of linearly independent dofs.
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"""
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function create_projection(C::SparseMatrixCSC, g; S=nothing, tol=1.0e-12)
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n, m = size(C)
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@assert n == m
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if S == nothing
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S = get_nonzero_rows(C)
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end
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# FIXME: this creates dense matrices
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# efficiency / memory usage is a question
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M = get_nonzero_columns(C)
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F = qrfact(C[S,:])
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P = spzeros(n,m)
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P[:,M] = sparse(F \ full(C[S,M]))
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h = sparse(F \ full(g[S]))
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resize!(P, n, m)
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resize!(h, n, 1)
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P = speye(n) - P
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droptol!(P, tol)
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return P, h
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end
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""" Assume C is invertible. """
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function create_projection(C, g, ::Type{Val{:invertible}})
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nz1, nz2 = get_nonzeros(C)
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P = spzeros(size(C)...)
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for j=1:size(C,1)
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j in nz1 && continue
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P[j,j] = 1.0
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end
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v = lufact(C[nz1,nz2]) \ full(g[nz1])
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return P, v
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end
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"""
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Solve linear system using LDLt factorization (SuiteSparse). This version
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+12
-2
@@ -178,11 +178,21 @@ function size(A::SparseMatrixCOO, idx::Int)
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return size(A)[idx]
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end
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""" Resize sparse matrix A to (higher) dimension n x m. """
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function resize_sparse(A, n, m)
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return sparse(findnz(A)..., n, m)
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end
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""" Resize sparse vector b to (higher) dimension n. """
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function resize_sparsevec(b, n)
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return sparsevec(findnz(b)..., n)
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end
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""" Matrix norm. Automatically convert to dense when asking for 2-norm for small matrices. """
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function norm(A::SparseMatrixCOO, p=Inf; maxdim=1000)
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dim = size(A, 1)
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if p == 2 && dim > maxdim
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info("Assembly norm: dim = $dim > $maxdim and p=$p, not making dense matrices for operation.")
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warn("Assembly norm: dim = $dim > $maxdim and p=$p, not making dense matrices for operation.")
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return 0.0
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end
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if p == 2
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@@ -192,9 +202,9 @@ function norm(A::SparseMatrixCOO, p=Inf; maxdim=1000)
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end
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end
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""" Approximative comparison of two matricse A and B. """
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function isapprox(A::SparseMatrixCOO, B::SparseMatrixCOO)
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A2 = sparse(A)
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B2 = sparse(B, size(A2)...)
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return isapprox(A2, B2)
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end
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