Results 11 to 20 of about 862,253 (63)
Virtual Element Methods for hyperbolic problems on polygonal meshes [PDF]
, 2016 In the present paper we develop the Virtual Element Method for hyperbolic problems on polygonal meshes, considering the linear wave equations as our model problem. After presenting the semi-discrete scheme, we derive the convergence estimates in H^1 semi-
Vacca, Giuseppe
core +1 more source
Fully discrete finite element data assimilation method for the heat equation [PDF]
, 2017 We consider a finite element discretization for the reconstruction of the final state of the heat equation, when the initial data is unknown, but additional data is given in a sub domain in the space time.
Burman, Erik +2 more
core +3 more sources
A fully discrete evolving surface finite element method [PDF]
, 2012 In this paper we consider a time discrete evolving surface finite element method for the advection and diffusion of a conserved scalar quantity on a moving surface.
Charles M. Elliott +2 more
core +1 more source
A posteriori error control for fully discrete Crank–Nicolson schemes [PDF]
, 2012 We derive residual-based a posteriori error estimates of optimal order for fully discrete approximations for linear parabolic problems. The time discretization uses the Crank--Nicolson method, and the space discretization uses finite element spaces that ...
Bänsch, E +2 more
core +2 more sources
Finite element exterior calculus for parabolic problems [PDF]
, 2012 In this paper, we consider the extension of the finite element exterior calculus from elliptic problems, in which the Hodge Laplacian is an appropriate model problem, to parabolic problems, for which we take the Hodge heat equation as our model problem ...
Arnold +17 more
core +2 more sources
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems [PDF]
, 2016 In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral domains in the $L^\infty$ norm.
Leykekhman, Dmitriy, Vexler, Boris
core +1 more source
, 2013 In this paper we present PDE and finite element analyses for a system of partial differential equations (PDEs) consisting of the Darcy equation and the Cahn-Hilliard equation, which arises as a diffuse interface model for the two phase Hele-Shaw flow. We
G., Steven Wise, Xiaobing Feng
core +1 more source
Dual virtual element method for discrete fractures networks
, 2017 Discrete fracture networks is a key ingredient in the simulation of physical processes which involve fluid flow in the underground, when the surrounding rock matrix is considered impervious.
Fumagalli, Alessio, Keilegavlen, Eirik
core +2 more sources
Dynamic mesh refinement for discrete models of jet electro-hydrodynamics
, 2016 Nowadays, several models of unidimensional fluid jets exploit discrete element methods. In some cases, as for models aiming at describing the electrospinning nanofabrication process of polymer fibers, discrete element methods suffer a non constant ...
Akima +32 more
core +1 more source
A study of fragmentation processes using a discrete element method
, 1995 We present a model of solids made from polygonal cells connected via beams. We calculate the macroscopic elastic moduli from the beam and cell parameters. This modellisation is particularly suited for the simulation of fragmentation processes.
Arbiter +19 more
core +1 more source