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Angle Deficit Approximation of Gaussian Curvature and Its Convergence over Quadrilateral meshes
Gaussian Curvature Quadrilateral Mesh Convergence
2012/8/7
We propose a discrete approximation of the Gaussian curvature over quadrilateral
meshes using a linear combination of two angle de痗its. Suppose a surface mesh is
obtained from a sampling of a smooth...
A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows
Curvature/Strain G-equations Cellular Flows Front Speed Computation Enhancement and Quenching
2012/2/29
We study front speeds of curvature and strain G-equations arising in turbulent combustion. These G-equations are Hamilton-Jacobi type level set partial differential equations (PDEs) with non-coercive ...
We introduce the Characteristic Curvature as the curvature of the trajectories of the hamiltonian vector field with respect to the normal direction to the isoenergetic surfaces and by using the Secon...
Constructing graphs over $R^n$ with small prescribed mean-curvature
$R^n$ with small prescribed mean-curvature
2010/12/1
In this paper a convergent series expansion is constructed to solve the prescribed mean curvature equation ±∇·(∇u/p1 ± |∇u|2) = nH for n-dimensional hypersurfaces in Rn+1 (+ sign) an...
Convergence Analysis of a Discretization Scheme for Gaussian Curvature over Triangular Surfaces
Gaussian Curvature Surface triangulation Convergence.
2012/8/1
In this paper, we study the convergent property of a well known discretized scheme of Gaussian curvature, derived from Gauss-Bonnet theorem, over triangulated surface.Suppose the triangulation is obta...