High-order accurate methods based on difference potentials for 2D parabolic interface models

2017 ◽  
Vol 15 (4) ◽  
pp. 985-1019 ◽  
Author(s):  
Jason Albright ◽  
Yekaterina Epshteyn ◽  
Qing Xia
Keyword(s):  
High Order ◽  
Difference Potentials ◽  
Interface Models

scholarly journals High-order accurate difference potentials methods for parabolic problems

2015 ◽  
Vol 93 ◽  
pp. 87-106 ◽  
Author(s):  
Jason Albright ◽  
Yekaterina Epshteyn ◽  
Kyle R. Steffen
Keyword(s):  
High Order ◽  
Parabolic Problems ◽  
Difference Potentials

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.

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