Zobrazeno 1 - 10
of 456
pro vyhledávání: '"Grady, B."'
We present a general framework, treating Lipschitz domains in Riemannian manifolds, that provides conditions guaranteeing the existence of norming sets and generalized local polynomial reproduction - a powerful tool used in the analysis of various me
Externí odkaz:
http://arxiv.org/abs/2410.12973
Autor:
Chiwere, Michael, Wright, Grady B.
Spherical and polar geometries arise in many important areas of computational science, including weather and climate forecasting, optics, and astrophysics. In these applications, tensor-product grids are often used to represent unknowns. However, int
Externí odkaz:
http://arxiv.org/abs/2410.05439
Recovering pressure fields from image velocimetry measurements has two general strategies: i) directly integrating the pressure gradients from the momentum equation and ii) solving or enforcing the pressure Poisson equation (divergence of the pressur
Externí odkaz:
http://arxiv.org/abs/2407.15344
Publikováno v:
Comput. Math. Appl., vol. 147, pp. 1--13, 2023
Approximating differential operators defined on two-dimensional surfaces is an important problem that arises in many areas of science and engineering. Over the past ten years, localized meshfree methods based on generalized moving least squares (GMLS
Externí odkaz:
http://arxiv.org/abs/2309.04035
We develop a new meshfree geometric multilevel (MGM) method for solving linear systems that arise from discretizing elliptic PDEs on surfaces represented by point clouds. The method uses a Poisson disk sampling-type technique for coarsening the point
Externí odkaz:
http://arxiv.org/abs/2204.06154
Surface reconstruction from a set of scattered points, or a point cloud, has many applications ranging from computer graphics to remote sensing. We present a new method for this task that produces an implicit surface (zero-level set) approximation fo
Externí odkaz:
http://arxiv.org/abs/2101.05940
We present a high-order radial basis function finite difference (RBF-FD) framework for the solution of advection-diffusion equations on time-varying domains. Our framework is based on a generalization of the recently developed Overlapped RBF-FD metho
Externí odkaz:
http://arxiv.org/abs/2011.06715
Divergence-free (div-free) and curl-free vector fields are pervasive in many areas of science and engineering, from fluid dynamics to electromagnetism. A common problem that arises in applications is that of constructing smooth approximants to these
Externí odkaz:
http://arxiv.org/abs/2010.15898
Autor:
Drake, Kathryn P., Wright, Grady B.
The direct method used for calculating smooth radial basis function (RBF) interpolants in the flat limit becomes numerically unstable. The RBF-QR algorithm bypasses this ill-conditioning using a clever change of basis technique. We extend this method
Externí odkaz:
http://arxiv.org/abs/2001.04557
We present a new hyperviscosity formulation for stabilizing radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion-reaction equations on manifolds $\mathbb{M} \subset \mathbb{R}^3$ of co-dimension one. Our technique i
Externí odkaz:
http://arxiv.org/abs/1910.07059