c= curl(V,X)returns thecurlof symbolic vector fieldVwith respect to vectorXin three-dimensional Cartesian coordinates. Both the vector fieldVand the vectorXmust be vectors with three components. example c= curl(V)returns the curl of the vector fieldVwith respect to a default vector constructed...
c= curl(V,X)returns thecurlof symbolic vector fieldVwith respect to vectorXin three-dimensional Cartesian coordinates. Both the vector fieldVand the vectorXmust be vectors with three components. example c= curl(V)returns the curl of the vector fieldVwith respect to a default vector constructed...
of the curl projection onto the unit vector field perpendicular to the surface of the smooth (differentiable) three-component vector field over the two dimensional oriented open surface depends only on the field values of the field on the boundary of this this surface and equals to the integral...
Deformation is an important research topic in graphics.There are two key issues in mesh deformation:(1) selfintersection and(2) volume preserving.In this paper,we present a new method to construct a vector field for volume-preserving mesh deformation of free-form objects.Volume-preserving is an...
We study the problem of minimizing the Lp norm of the curl of vector fields in a three-dimensional, bounded multi-connected domain with a prescribed tangential component on the boundary. We then prove the existence of minimizers and estimate them.关键词: Minimizing the Lp norm of curl variatio...
of the mesh while a divergence constraint-preserving reconstruction is used to obtain the vector field within the volume of the mesh. (It should also be noted that two-dimensional WENO reconstruction is used in the faces as part of the three-dimensional divergence constraint-preserving ...
whereis a standard two-dimensional Brownian motion andis a time-dependent random field which is independent from. We taketo be a regularised version of the curl of the solution to the (fractional) stochastic heat equation with additive noise inand initial condition given by the curl of the re...
In vector calculus, the curl (or rotor) is a vector operator that describes the infinitesimal rotation of a 3-dimensional vector field. At every point in the field, the curl is represented by a vector. The attributes of this vector (length and direction) characterize the rotation at that po...
In order to solve one of the key points in the algorithm, principles of differential calculus on compound functions was introduced to calculate the curl in data sets of three-dimensional steady vector fields with irregular structured grids. The streamribbon generation algorithm based on curl is of...
Global Jacobian and $\\Gamma$-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices In the theory of $2D$ Ginzburg-Landau vortices, the Jacobian plays a crucial role for the detection of topological singularities. We introduce a related distributional quantity, called the glob...