Finite Element Methods with B-Splines Dance their Lebesgue measure is determined

their Lebesgue measure is determined by the convergence or divergence of naturally occurring volume sums

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Finite Element Methods with B-Splines Dance their Lebesgue measure is determinedThe finite element method (FEM) has become the most widely accepted general purpose technique for numerical simulations in engineering and applied mathematics. Principal applications arise in continuum mechanics, fluid flow, thermodynamics and field theory. In these areas, computational methods are essential and benefit strongly from the enormous advances in computer technology. B splines play an important role in approximation and geometric modeling.