Results 81 to 90 of about 24,975 (207)
Monge-Ampère equations on compact Hessian manifolds
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZEWe consider degenerate Monge-Amp\`ere equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and global comparison principles for twisted Monge-Amp\`ere operators.
Guedj, Vincent, Tô, Tat Dat
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Computer Graphics Forum, EarlyView.Abstract While semi‐analytical boundary handling techniques have proven effective for modeling particle‐based fluid‐solid interactions, they can become unstable when applied to mesh boundaries undergoing dynamic motion or featuring complex, sharp geometries.
Junyuan Liu +5 more
wiley +1 more source
Multiple solutions for biharmonic elliptic problems with the second Hessian
Electronic Journal of Differential Equations, 2016 In this article, we study the biharmonic elliptic problem with the secondnd Hessian $$\displaylines{ \Delta^2u =S_2(D^2u)+\lambda f(x) |u|^{p-1}u,\quad \text{in } \Omega \subset \mathbb{R}^3, \cr u =\frac{\partial u}{\partial n}=0, \quad \text{
Fei Fang, Chao Ji, Binlin Zhang
doaj
Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Computer Graphics Forum, EarlyView.Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley +1 more source
Interpolated Adaptive Linear Reduced Order Modeling for Deformation Dynamics
Computer Graphics Forum, EarlyView.Abstract Linear reduced‐order modeling (ROM) is widely used for efficient simulation of deformation dynamics, but its accuracy is often limited by the fixed linearization of the reduced mapping. We propose a new adaptive strategy for linear ROM that allows the reduced mapping to vary dynamically in response to the evolving deformation state ...
Y. Tao, M. Chiaramonte, P. Fernandez
wiley +1 more source
Projective Vector Fields on Semi-Riemannian Manifolds
MathematicsThis paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
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Progressively Projected Newton's Method
Computer Graphics Forum, EarlyView.Abstract Newton's Method is widely used to find the solution of complex non‐linear simulation problems. To guarantee a descent direction, it is common practice to clamp the negative eigenvalues of each element Hessian prior to assembly—a strategy known as Projected Newton (PN)—but this perturbation often hinders convergence.
J. A. Fernández‐Fernández +2 more
wiley +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source
Hessian Tensor and Standard Static Space-times
, 2008 In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry where this 2-covariant tensor is involved.
Dobarro, Fernando, Unal, Bulent
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Projective Hessian and Sasakian manifolds
, 2018 The Hessian geometry is the real analogue of the K hler one. Sasakian geometry is an odd-dimensional counterpart of the K hler geometry. In the paper, we study the connection between projective Hessian and Sasakian manifolds analogous to the one between Hessian and K hler manifolds.
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