Use absolute component-wise residuals in injectivity-preserving line …

[jmartfrut]

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Update the line search to calculate the dot product between the residual and search direction as a sum of the absolute values of component-wise dot products. This prevents potential cancellations between different physical fields and ensures a more robust descent condition for multi-physics problems.

[github-actions]

Benchmark Results (Julia v1)

Time benchmarks

	main	942bfe0...	main / 942bfe0...
Constitutive models/Visco-elastic Ψ	0.0487 ± 0.029 ms	0.0484 ± 0.029 ms	1.01 ± 0.85
Constitutive models/Visco-elastic ∂Ψu	0.0547 ± 0.0023 ms	0.0546 ± 0.0022 ms	1 ± 0.057
Constitutive models/Visco-elastic ∂Ψuu	0.104 ± 0.018 ms	0.104 ± 0.018 ms	0.999 ± 0.24
Simulations/StaticMechanicalDirichlet	0.136 ± 0.007 s	0.134 ± 0.0069 s	1.01 ± 0.074
Simulations/StaticMechanicalNeumann	0.13 ± 0.012 s	0.131 ± 0.011 s	0.994 ± 0.12
Simulations/ViscoElastic	18.5 s	18.7 s	0.993
Tensor algebra/Cofactor	0.061 ± 0.01 μs	0.07 ± 0.01 μs	0.871 ± 0.19
Tensor algebra/Det(A)Inv(A')	0.131 ± 0.01 μs	0.14 ± 0.001 μs	0.936 ± 0.072
Tensor algebra/δδ_λ_2d	30 ± 0 ns	30 ± 0 ns	1 ± 0
Tensor algebra/δδ_μ_2d	30 ± 0 ns	30 ± 0 ns	1 ± 0
time_to_load	2.5 ± 0.028 s	2.51 ± 0.0024 s	0.997 ± 0.011

Memory benchmarks

	main	942bfe0...	main / 942bfe0...
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	1.29 k allocs: 0.0826 MB	1.29 k allocs: 0.0826 MB	1
Constitutive models/Visco-elastic ∂Ψuu	2.25 k allocs: 0.149 MB	2.25 k allocs: 0.149 MB	1
Simulations/StaticMechanicalDirichlet	1.51 M allocs: 0.108 GB	1.51 M allocs: 0.108 GB	1
Simulations/StaticMechanicalNeumann	1.48 M allocs: 0.0931 GB	1.48 M allocs: 0.0931 GB	1
Simulations/ViscoElastic	0.326 G allocs: 20.5 GB	0.326 G allocs: 20.5 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	0.149 k allocs: 11.1 kB	0.149 k allocs: 11.1 kB	1