Hourglass stabilization and the virtual element method
نویسندگان
چکیده
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 Dipartimento di Matematica e Applicazioni, Università di Milano-Bicocca, 20153 Milano, Italy 6 Department of Civil and Environmental Engineering, University of California, Davis, CA 95616, USA
منابع مشابه
Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and two-dimensional computations
A new multi-scale, stabilized method for Q1/P0 finite element computations of Lagrangian shock hydrodynamics is presented. Instabilities (of hourglass type) are controlled by a stabilizing operator derived using the variational multi-scale analysis paradigm. The resulting stabilizing term takes the form of a pressure correction. With respect to broadly accepted hourglass control approaches, the...
متن کاملOn the natural stabilization of convection diffusion problems using LPIM meshless method
By using the finite element $p$-Version in convection-diffusion problems, we can attain to a stabilized and accurate results. Furthermore, the fundamental of the finite element $p$-Version is augmentation degrees of freedom. Based on the fact that the finite element and the meshless methods have similar concept, it is obvious that many ideas in the finite element can be easily used in the meshl...
متن کاملNumerical Control of the Hourglass Inst Ability
Numerical integration of stiffness matrices in finite element analysis can represent a significant portion of the overall computational effort. To improve computational efficiency, it has become a practice of some analysts to 'underintegrate' the various element stiffnesses. i,e. to employ a numerical quadrature rule of an order less than that required to yield exact values for polynomial integ...
متن کاملNumerical simulation of fluid movement in an hourglass by an energy-stable finite element scheme
We simulate flow movement in an hourglass occupied by two fluids with surface tension on the interface and compare the difference of movements of fluids between the non-slip and slip boundary conditions and small and large coefficients of surface tension. The simulation is carried out by an energy-stable finite element scheme developed recently by ourself.
متن کاملRock Slope Stability Analysis Using Discrete Element Method
Rock slope stability depends very much on the strength features of the rock and the geometrical and strength characteristics of the discontinuities (e.g., roughness, wall strength and persistence). Since a rock mass is not a continuum, its behavior is dominated by such discontinuities as faults, joints and bedding planes. Also, Rock slope instability is a major hazard for human activities and o...
متن کامل