Search

It is well known that convergence of the fictitious domain formulation with boundary Lagrange multipliers is slow due to the lower global regularity of its solution. This article presents a smoothed variant of this approach which is based on a formulation in the form of a state constraint optimal control problem. The convergence rate is increased as seen from a model example. [ABSTRACT FROM AUTHOR]

We consider a Birman, Ko, and Lee (BKL) presentation (defined by Vershinin, 2003) for the semigroup of singular braids SB n . We prove the embedding property for the monoid of positive singular braids and give a solution to the word and conjugacy problems in BKL generators. [ABSTRACT FROM AUTHOR]

Letzj = xj + iyj ∈ ℂ (j = 1, 2) and let Ω = {(z1, z2) ∈ ℂ2 : |x1|2 + |x2|2 < 1, |y1|2 + |y2|2 < 1} be a real bi-disc in ℂ2. In this article we will find the sharp lower bound forRsuch that Ω admits a symplectic embedding intoD(R) × ℂ, the complex cylinder with base radiusR [ABSTRACT FROM AUTHOR]