A first-order stabilization-free Virtual Element Method

Hourglass stabilization and the virtual element method

1 Department of Mathematics, University of Leicester, University Road – Leicester LE1 7RH, UK 2 Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA 3 Istituto di Matematica Applicata e Tecnologie Informatiche del CNR, via Ferrata 1, 27100 Pavia, Italy, 4 Centro per la Simulazione Numerica Avanzata, Istituto Universitario di Studi Superiori, 27100 Pavia, Italy 5 Dipar...

Spectral Finite Element Method for Free Vibration of Axially Moving Plates Based on First-Order Shear Deformation Theory

In this paper, the free vibration analysis of moderately thick rectangular plates axially moving with constant velocity and subjected to uniform in-plane loads is investigated by the spectral finite element method. Two parallel edges of the plate are assumed to be simply supported and the remaining edges have any arbitrary boundary conditions. Using Hamilton’s principle, three equations of moti...

A Finite Element Method for First-Order Hyperbolic Systems

A new finite element method is proposed for the numerical solution of a class of initial-boundary value problems for first-order hyperbolic systems in one space dimension. An application of our procedure to a system modeling gas flow in a pipe is discussed. Asymptotic error estimates are derived in the L norm in space.

A method for solving first order fuzzy differential equation

Virtual First-Order Structure

The proof of liveness for various new classes of nets is not intuitive and rather hard to understand. We propose to find the maximum class, called non-virtual-net (NV-net) that are live as long as all minimal siphons never get empty of tokens and the maximum class, called virtual-net (V-net) that may be weakly live if all minimal siphons never get empty of tokens. In the future, when a new syst...