Your English writing platform
Discover LudwigExact(60)
The augmented system considering the tracking error and the reference trajectory is formulated and then addressed under adaptive critic optimal control formulation, where the initial stabilizing controller is not needed.
It leads to a formulation, where only the boundary of a structure is discretized.
It leads a nonlinear formulation, where the cohesive stresses are determined according the crack opening displacement.
Perhaps there is a "shady lane in Heaven" (to use a Nabokovian formulation) where they discuss the sorrows and odd satisfactions of displacement.
These governing equations are based on a semi-analytical finite element formulation where the discretization occurs through the cylinder's thickness.
For this we use a potential theoretic formulation where the boundary integral equations are solved with a fast multipole approach.
This remarkable property provides for a very general formulation, where the preconditioned conjugate gradient method (PCGM) and quasi-Newton method are just special cases.
The so-called strong coupling is often a totally implicit formulation, where the system components are evaluated at the same time level.
The mechanical behaviour is described by an elastic plastic damage formulation, where damage is responsible for the softening evolution while plasticity accounts for the development of irreversible strains.
The means to this end is a Hermite formulation, where the gradient is stored and advected as an independent variable, along with the level set function.
What ever it takes, it does appear that there is a need to extend the size scale of applicability for a given formulation where self-consistency is observed.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com