Strong remove MPI dependencies

[miguelmaso]

This is an alternative to #102 .

Check if compilation errors in Julia 1.13 get solved

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	main	eacce47...	main / eacce47...
Constitutive models/Visco-elastic Ψ	0.0501 ± 0.02 ms	0.0502 ± 0.021 ms	0.998 ± 0.58
Constitutive models/Visco-elastic ∂Ψu	0.0624 ± 0.0019 ms	0.062 ± 0.0022 ms	1.01 ± 0.047
Constitutive models/Visco-elastic ∂Ψuu	0.112 ± 0.015 ms	0.11 ± 0.015 ms	1.02 ± 0.2
Simulations/StaticMechanicalDirichlet	0.211 ± 0.014 s	0.21 ± 0.014 s	1.01 ± 0.096
Simulations/StaticMechanicalNeumann	0.162 ± 0.012 s	0.168 ± 0.015 s	0.969 ± 0.11
Simulations/ViscoElastic	21.4 s	21.2 s	1.01
Tensor algebra/Cofactor	0.063 ± 0.003 μs	0.062 ± 0.002 μs	1.02 ± 0.058
Tensor algebra/Det(A)Inv(A')	0.13 ± 0.006 μs	0.128 ± 0.03 μs	1.02 ± 0.24
Tensor algebra/δδ_λ_2d	19 ± 1 ns	18 ± 1 ns	1.06 ± 0.081
Tensor algebra/δδ_μ_2d	19 ± 1 ns	19 ± 1 ns	1 ± 0.074
time_to_load	0.0204 ± 4.6e-05 h	0.017 ± 7.4e-05 h	1.2 ± 0.0059

Memory benchmarks

	main	eacce47...	main / eacce47...
Constitutive models/Visco-elastic Ψ	1.24 k allocs: 0.0777 MB	1.24 k allocs: 0.0777 MB	1
Constitutive models/Visco-elastic ∂Ψu	1.36 k allocs: 0.0898 MB	1.36 k allocs: 0.0898 MB	1
Constitutive models/Visco-elastic ∂Ψuu	2.32 k allocs: 0.155 MB	2.32 k allocs: 0.155 MB	1
Simulations/StaticMechanicalDirichlet	1.51 M allocs: 0.109 GB	1.51 M allocs: 0.109 GB	1
Simulations/StaticMechanicalNeumann	1.48 M allocs: 0.0933 GB	1.48 M allocs: 0.0933 GB	1
Simulations/ViscoElastic	0.343 G allocs: 22 GB	0.343 G allocs: 22 GB	1
Tensor algebra/Cofactor	1 allocs: 0.0781 kB	1 allocs: 0.0781 kB	1
Tensor algebra/Det(A)Inv(A')	4 allocs: 0.25 kB	4 allocs: 0.25 kB	1
Tensor algebra/δδ_λ_2d	0 allocs: 0 B	0 allocs: 0 B
Tensor algebra/δδ_μ_2d	0 allocs: 0 B	0 allocs: 0 B
time_to_load	0.141 k allocs: 10.8 kB	0.141 k allocs: 10.8 kB	1