We present two kinds of lowest-order virtual element methods for planar linear elasticity problems. For the first one we use nonconforming method with a stabilizing term. It can be interpreted as modification Crouzeix–Raviart finite suggested in Hansbo and Larson (2003) to method. second conforming component displacement vector other. This approach seen an extension idea Kouhia Stenberg (1995) ...

The approximation properties of the finite element method can often be substantially improved by choosing smooth high-order basis functions. It is extremely difficult to devise such functions for partitions consisting arbitrarily shaped polytopes. We propose mollified arbitrary order and smoothness convex On each polytope an independent local polynomial approximant assumed. are defined as convo...

Here 3D larynx models whose viscoelastic properties of the superficial tissues of the true vocal folds were altered in specific regions at the glottis producing different left-right fold asymmetries are analyzed. The idea is to initiate studies about the dynamic of larynges under possible pathological conditions. All simulations used a strategy based on the finite element method to solve a flui...

We construct an optimal execution strategy for the purchase of a large number of shares of a financial asset over a fixed interval of time. Purchases of the asset have a nonlinear impact on price, and this is moderated over time by resilience in the limit-order book that determines the price. The limit-order book is permitted to have arbitrary shape. The form of the optimal execution strategy i...