A frame invariant and maximum principle enforcing second-order extension for cell-centered ALE schemes based on local convex hull preservation

2014 ◽  
Vol 76 (12) ◽  
pp. 1043-1063 ◽  
Author(s):  
P. Hoch ◽  
E. Labourasse
Keyword(s):  
Maximum Principle ◽  
Convex Hull ◽  
Second Order ◽  
Local Convex ◽  
Order Extension

scholarly journals The construction of local convex hull on the task of pattern recognition

2021 ◽  
Vol 186 ◽  
pp. 360-365
Author(s):  
Kamilov Mirzoyan ◽  
Hudayberdiev Mirzaakbar ◽  
Khamroev Alisher
Keyword(s):  
Pattern Recognition ◽  
Convex Hull ◽  
Local Convex

scholarly journals A Note on the Strong Maximum Principle for Fully Nonlinear Equations on Riemannian Manifolds

2021 ◽  
Author(s):  
Alessandro Goffi ◽  
Francesco Pediconi
Keyword(s):  
Maximum Principle ◽  
Riemannian Manifolds ◽  
Mean Curvature ◽  
Strong Maximum Principle ◽  
Second Order ◽  
Fully Nonlinear Equations ◽  
Nonlinear Operators ◽  
Fully Nonlinear ◽  
Second Order Equations ◽  
Curvature Type

AbstractWe investigate strong maximum (and minimum) principles for fully nonlinear second-order equations on Riemannian manifolds that are non-totally degenerate and satisfy appropriate scaling conditions. Our results apply to a large class of nonlinear operators, among which Pucci’s extremal operators, some singular operators such as those modeled on the p- and $$\infty $$ ∞ -Laplacian, and mean curvature-type problems. As a byproduct, we establish new strong comparison principles for some second-order uniformly elliptic problems when the manifold has nonnegative sectional curvature.

Application of the Godunov method and its second-order extension to cascade flow modeling

AIAA Journal ◽  
1984 ◽  
Vol 22 (11) ◽  
pp. 1609-1615 ◽  
Author(s):  
Shmuel Eidelman ◽  
Phillip Colella ◽  
Raymond P. Shreeve
Keyword(s):  
Second Order ◽  
Godunov Method ◽  
Flow Modeling ◽  
Cascade Flow ◽  
Order Extension
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