scholarly journals Hermite integrator for high-order mesh-free schemes

2018 ◽  
Vol 71 (1) ◽  
Author(s):  
Satoko Yamamoto ◽  
Junichiro Makino
Keyword(s):  
High Order ◽  
Mesh Free

Agglomeration-based physical frame dG discretizations: An attempt to be mesh free

2014 ◽  
Vol 24 (08) ◽  
pp. 1495-1539 ◽  
Author(s):  
Francesco Bassi ◽  
Lorenzo Botti ◽  
Alessandro Colombo
Keyword(s):  
Finite Element ◽  
Convergence Rates ◽  
Numerical Test ◽  
High Order ◽  
Test Cases ◽  
Computational Domain ◽  
Element Discretization ◽  
Mesh Free ◽  
Domain Boundaries ◽  
Coarse Grids

In this work we consider agglomeration-based physical frame discontinuous Galerkin (dG) discretization as an effective way to increase the flexibility of high-order finite element methods. The mesh free concept is pursued in the following (broad) sense: the computational domain is still discretized using a mesh but the computational grid should not be a constraint for the finite element discretization. In particular the discrete space choice, its convergence properties, and even the complexity of solving the global system of equations resulting from the dG discretization should not be influenced by the grid choice. Physical frame dG discretization allows to obtain mesh-independent h-convergence rates. Thanks to mesh agglomeration, high-order accurate discretizations can be performed on arbitrarily coarse grids, without resorting to very high-order approximations of domain boundaries. Agglomeration-based h-multigrid techniques are the obvious choice to obtain fast and grid-independent solvers. These features (attractive for any mesh free discretization) are demonstrated in practice with numerical test cases.

scholarly journals A new type of high-order elements based on the mesh-free interpolations

2016 ◽  
Vol 65 ◽  
pp. 63-71 ◽  
Author(s):  
Dean Hu ◽  
Yigang Wang ◽  
Haifei Zhan ◽  
Shuyao Long
Keyword(s):  
High Order ◽  
Mesh Free ◽  
New Type

High order mesh-free method for frictional contact

2018 ◽  
Vol 94 ◽  
pp. 103-112 ◽  
Author(s):  
Youssef Belaasilia ◽  
Bouazza Braikat ◽  
Mohammad Jamal
Keyword(s):  
Frictional Contact ◽  
High Order ◽  
Mesh Free ◽  
Mesh Free Method

A high order mesh-free method for buckling and post-buckling analysis of shells

2019 ◽  
Vol 99 ◽  
pp. 89-99 ◽  
Author(s):  
Mustapha Fouaidi ◽  
Abdellah Hamdaoui ◽  
Mohammad Jamal ◽  
Bouazza Braikat
Keyword(s):  
Buckling Analysis ◽  
High Order ◽  
Mesh Free ◽  
Mesh Free Method ◽  
Post Buckling

Solving the incompressible fluid flows by a high‐order mesh‐free approach

2020 ◽  
Vol 92 (5) ◽  
pp. 422-435 ◽  
Author(s):  
Mohammed Rammane ◽  
Said Mesmoudi ◽  
Abdeljalil Tri ◽  
Bouazza Braikat ◽  
Noureddine Damil
Keyword(s):  
Incompressible Fluid ◽  
Fluid Flows ◽  
High Order ◽  
Mesh Free ◽  
Incompressible Fluid Flows

Determination of the Burgers vector of a dislocation in a Fe-Mn alloy by weak-beam image in HVEM

1978 ◽  
Vol 36 (1) ◽  
pp. 330-331
Author(s):  
Y. Ishida ◽  
H. Ishida ◽  
K. Kohra ◽  
H. Ichinose
Keyword(s):  
High Order ◽  
Simulation Technique ◽  
The Other ◽  
Image Simulation ◽  
Diffraction Vector ◽  
Burgers Vector ◽  
Weak Beam ◽  
Beam Image ◽  
Edge Component

IntroductionA simple and accurate technique to determine the Burgers vector of a dislocation has become feasible with the advent of HVEM. The conventional image vanishing technique(1) using Bragg conditions with the diffraction vector perpendicular to the Burgers vector suffers from various drawbacks; The dislocation image appears even when the g.b = 0 criterion is satisfied, if the edge component of the dislocation is large. On the other hand, the image disappears for certain high order diffractions even when g.b ≠ 0. Furthermore, the determination of the magnitude of the Burgers vector is not easy with the criterion. Recent image simulation technique is free from the ambiguities but require too many parameters for the computation. The weak-beam “fringe counting” technique investigated in the present study is immune from the problems. Even the magnitude of the Burgers vector is determined from the number of the terminating thickness fringes at the exit of the dislocation in wedge shaped foil surfaces.

The usefulness of high index low symmetry zone axes for holz line analysis

1987 ◽  
Vol 45 ◽  
pp. 384-385
Author(s):  
C. M. Sung ◽  
D. B. Williams
Keyword(s):  
Lattice Parameter ◽  
High Order ◽  
Zone Axis ◽  
High Index ◽  
High Symmetry ◽  
Second Phases ◽  
Line Patterns ◽  
Low Symmetry ◽  
Line Analysis

Researchers have tended to use high symmetry zone axes (e.g. <111> <114>) for High Order Laue Zone (HOLZ) line analysis since Jones et al reported the origin of HOLZ lines and described some of their applications. But it is not always easy to find HOLZ lines from a specific high symmetry zone axis during microscope operation, especially from second phases on a scale of tens of nanometers. Therefore it would be very convenient if we can use HOLZ lines from low symmetry zone axes and simulate these patterns in order to measure lattice parameter changes through HOLZ line shifts. HOLZ patterns of high index low symmetry zone axes are shown in Fig. 1, which were obtained from pure Al at -186°C using a double tilt cooling holder. Their corresponding simulated HOLZ line patterns are shown along with ten other low symmetry orientations in Fig. 2. The simulations were based upon kinematical diffraction conditions.

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