Comments (2)
that's a great idea and timing is also very good as I should have a PR with a first PILS solver interface coming in a week or so. In the small test I crafted it was applied to a 7-bar truss structure which had uncertainty on the stiffness of one bar (not sure if the resulting linear system was obtained with FEM or some other discretization) It's example 4.1 of the attached paper.
That (or maybe even better the more interesting 2D example you had sent marcelo) would add great value to the package!
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Excellent. 👍🏼
I could start writing down that example for the documentation.
Regarding the example, yes, the matrix K(p)
is the same that is obtained using FEM.
Moreover, the matrix K(p)
is a sum of 7 matrices each one multiplied by a stiffness s_{ij}. It would be helpful to explicitly write these matrices in the documentation, since they correspond the matrices Ai
.... in the current PILS structure, as I understand it, the 6 matrices with fixed stiffnesses would sum the A0
, and the A1
would be multiplied by the interval stiffness s_{23}
.
from intervallinearalgebra.jl.
Related Issues (20)
- think of interface / dastructures to handle linear-PILS HOT 9
- note about adding new docs pages in cotributing guidelines.
- [enhancement]: spectral decomposition of interval matrices
- [bug] generation of documentation freezes HOT 10
- [enhancement]: Bypassing uncomputability issues HOT 1
- [enhancement]: A is not a squre matrix HOT 4
- [enhancement]: Ship a correctly rounded threaded OpenBLAS as an Artifact HOT 1
- [enhancement]: inv and det (needed by IntervalRootFinding)
- benchmarks about different matrix multiplication algorithms HOT 2
- [bug]: issues with complex interval matrices multiplication HOT 11
- [enhancement]: format references with APA style HOT 1
- [enhancement]: Add hertz method for eigenvalues of symmetric interval matrices
- write short tutorial about eigenvalues functionalities
- TagBot trigger issue HOT 6
- video not correctly embedded in documentation HOT 3
- [bug]: don't use subset to check if interval vector is in the interior of the other HOT 2
- is the current CI an overkill HOT 1
- [enhancement]: determinant of interval matrices HOT 1
- Taking parametric interval linear system seriuosly HOT 1
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from intervallinearalgebra.jl.