In applied mathematics, Loubignac iteration is an

iterative method In computational mathematics, an iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the ''n''-th approximation is derived from the pre ...

finite element method The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat ...

s. It gives continuous

stress field A stress field is the distribution of internal forces in a body that balance a given set of external forces. Stress fields are widely used in fluid dynamics and materials science. Consider that one can picture the stress fields as the stress cr ...

. It is named after Gilles Loubignac, who published the method in 1977.

References

Loubignac's paper
Continuum mechanics Finite element method Numerical differential equations Partial differential equations Structural analysis {{applied-math-stub