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include("../src/HPFEM.jl")


    

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nel = 2
nnodes = nel + 1
idir = Int[]#1,nnodes]
M = 6
Q = M+2
bas = HPFEM.Basis1d(M,Q)
lmap = HPFEM.locmap(bas)
dof = HPFEM.DofMap1d(lmap, nnodes, idir, true);


    

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dof.nb


    

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uexact(x) = sin(x)
rhsfun(x) = 2*sin(x)


    

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a = 0.0π
b = 2.0π
nodes = collect(linspace(a, b, nnodes));


    

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elems = [HPFEM.Element1d(e, nodes[e], nodes[e+1], bas) for e = 1:nel];


    

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solver = HPFEM.CholeskySC(dof, HPFEM.BBSymMatrix1d);


    

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for e = 1:nel
    Ae = zeros(M, M)
    HPFEM.add_stiff_matrix!(bas, elems[e], Ae)
    HPFEM.add_mass_matrix!(bas, elems[e], Ae)
    HPFEM.add_local_matrix(solver, e, Ae)
end


    

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solver.Abb.mat


    

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Fe = zeros(HPFEM.nmodes(lmap), nel)

for e = 1:nel
    fe = rhsfun(elems[e].x)
    HPFEM.add_rhs!(bas, elems[e], fe, view(Fe, :, e))
end

# Apply Dirichilet BCs:
#Fe[1,1] = uexact(a);
#Fe[2,nel] = uexact(b);


    

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HPFEM.solve!(solver, Fe);


    

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nξ = 101
ξ = collect(linspace(-1,1,nξ));
ϕ = zeros(nξ, M)
for i = 1:M
    ϕ[:,i] = HPFEM.basis1d(bas, ξ, i)
end

Ue = ϕ * Fe;


    

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using PyPlot
maxerr = 0.0
for e = 1:nel
    el = elems[e]
    x = (1-ξ)*el.a/2 + (1+ξ)*el.b/2 
    uu = uexact(x)
    err = maxabs(uu-Ue[:,e])
    if err > maxerr maxerr = err end
        
    plot(x, Ue[:,e], "r", x, uu, "b")
end
maxerr


    

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