The video states this as a global law for the finite element approximation: the total perimeter of the polygon formed by all the straight elements must equal the length of the approximated circle. This is the mathematical statement that follows from assembling the individual element equations.
Conditions: Applies to the assembled set of finite elements forming the approximated circle.; The equality is for the approximated polygon, not automatically the original continuous circle.
The video states this as a global law for the finite element approximation: the total perimeter of the polygon formed by all the straight elements must equal the length of the approximated circle. This is the mathematical statement that follows from assembling the individual element equations.
Conditions: Applies to the assembled set of finite elements forming the approximated circle.; The equality is for the approximated polygon, not automatically the original continuous circle.
A physical law is needed to turn the kinematic description provided by shape functions into a solvable mathematical statement. The law ensures that the mathematical statement is valid both locally within each element and globally over the entire domain.
Conditions: Requires a governing physical principle for the problem class.; The mathematical statement must be valid locally within elements and globally over the domain.
A physical law is needed to turn the kinematic description provided by shape functions into a solvable mathematical statement. The law ensures that the mathematical statement is valid both locally within each element and globally over the entire domain.
Conditions: Requires a governing physical principle for the problem class.; The mathematical statement must be valid locally within elements and globally over the domain.