Cauchysarjalle
Cauchysarjalle is a mathematical method developed in the late 1990s for improving the stability and convergence of iterative schemes used in finite element analysis. The technique, coined by French mathematician David Sarjalle, combines the classical Cauchy–Schwarz inequality with an adaptive spectral radius adjustment to bound error propagation in discretized differential equations.
The method works by introducing a weighted norm that dynamically contracts the residual vector during each
Cauchysarjalle has been incorporated into several commercial finite element software packages, including Abaqus and ANSYS, as
The method remains an active area of research, particularly in the context of multigrid solvers and domain