Thedivergencefunction does not support tensor derivatives. If the inputVis a tensor field or a matrix rather than a vector, then thedivergencefunction returns an error. Symbolic Math Toolbox™ currently does not support thedotorcrossfunctions for symbolic matrix variables and functions of typesymma...
Divergence of a tensorGeneral theory of relativityField theoryIn the General Theory of Relativity, the expression of the Einstein tensor is deduced by requiring the tensor to fulfil three conditions, among which the value zero of its divergence. The proof of the value zero of the divergence, ...
where the surface integral gives the value of integrated over a closed infinitesimal boundary surface surrounding a volume element , which is taken to size zero using a limiting process. The divergence of a vector field is therefore a scalar field. If , then the field is said to be a diverg...
we consider the construction ofanisotropic bivariate wavelets. With an isotropic construction, a bivariate wavelet is the tensor product of two univariate functions on the same scale, either both wavelets or a wavelet and a scaling function. With an anisotropic...
Strictly speaking we should define a newRd∞1Rd⊂Rd∞1, and perform ad∞1dimensional PV reduction and determine the local divergence ofNabc. The(l~ih⋅l~jh)aterm lives inRd∞, and should be treated as a tensor during thed∞1dimensional PV reduction. ...
We prove in this paper a divergence theorem for symmetric (0,2)-tensors on a semi-Riemannian manifold with boundary. We obtain a generalization of results obtained by Ünal in [9, Acta Appl. Math. 40(1995)] and E. García-Río and D. N. Kupeli in [4, Proceeding of the Third Wo...
rotation of a vector field 向量场的旋转 component of a vector 向量分量 magnitude of a vector 向量的绝对值 相似单词 divergence n. 1.分歧 2.背离;分离;相异 vector n. 1.【数】矢量;向量 2.【生】(传染疾病的)介体、载体 3.【术语】(航空器的)航线 divergence( cy) 离散 tensor divergen...
volVectorField gradPa(fvc::grad(pa)); volTensorField gradUa(fvc::grad(Ua)); volVectorField gradHa(fvc::grad(ha)); volVectorField UaMatrixConvection ( IOobject ( "UaMatrixConvection", runTime.timeName(), mesh, IOobject::NO_READ, ...
More precisely, the divergence theorem states that the outward flux of a tensor field through a closed surface is equal to the volume integral of the divergence over the region inside the surface. Tepatnya, teorema ini menyatakan bahwa fluks sebuah medan vektor melalui permukaan tertutup sama de...
We present a new method for evolving the equations of magnetohydrodynamics (both Newtonian and relativistic) that is capable of maintaining a divergence-free magnetic field (∇⋅B=0) on adaptively refined, conformally moving meshes. The method relies on evolving the magnetic vector potential and ...