AbstractWe propose a new, infinite family of tensor fields, whose first representatives are the classical Nijenhuis and Haantjes tensors. We prove that the vanishing of a suitable higher-level Haantjes torsion is a sufficient condition for the integrability of the eigen-distributions of an operator field on a differentiable manifold. This new condition, which does not require the explicit knowl...
AbstractA novel evolving surface finite element method is proposed to compute the evolution of a closed hypersurface $\Gamma\subset\R^d$, $d=2,3$, moving under a prescribed smooth velocity field $u$. An modified velocity $v$ with an artificial tangential motion is proposed to minimize the instantaneous rate of deformation of the evolving surface, i.e., to minimize the energy functional $\int_{\...
E-mail：qzsy@tsinghua.edu.cn
Address：Qiuzhen College, Tsinghua University, Haidian District, Beijing
© 2024 Tsinghua University. All Rights Reserved 京ICP备15006448号 京公网安备 110402430053 号
