منابع مشابه
Mixed Finite Elements for Variational Surface Modeling
Many problems in geometric modeling can be described using variational formulations that define the smoothness of the shape and its behavior w.r.t. the posed modeling constraints. For example, high-quality C2 surfaces that obey boundary conditions on positions, tangents and curvatures can be conveniently defined as solutions of high-order geometric PDEs; the advantage of such a formulation is i...
متن کاملModelling cell motility and chemotaxis with evolving surface finite elements.
We present a mathematical and a computational framework for the modelling of cell motility. The cell membrane is represented by an evolving surface, with the movement of the cell determined by the interaction of various forces that act normal to the surface. We consider external forces such as those that may arise owing to inhomogeneities in the medium and a pressure that constrains the enclose...
متن کاملSurface Finite Elements for Parabolic Equations
In this article we define a surface finite element method (SFEM) for the numerical solution of parabolic partial differential equations on hypersurfaces Γ in R. The key idea is based on the approximation of Γ by a polyhedral surface Γh consisting of a union of simplices (triangles for n = 2, intervals for n = 1) with vertices on Γ. A finite element space of functions is then defined by taking t...
متن کاملMixed-Mode Stress Intensity Factors for Surface Cracks in Functionally Graded Materials Using Enriched Finite Elements
Three-dimensional enriched finite elements are used to compute mixed-mode stress intensity factors (SIFs) for three-dimensional cracks in elastic functionally graded materials (FGMs) that are subject to general mixed-mode loading. The method, which advantageously does not require special mesh configuration/modifications and post-processing of finite element results, is an enhancement of previou...
متن کاملSurface lofting and smoothing with skeletal-lines
Abstmet. A method of surface definition and smoothing using a set of three-dimensional skeletal-lines is given. The skeletal-lines represent the essential features of a surface and can be individually smoothed using the first divided difference. The modified skeletal-lines are automatically generated by back substitution from the smoothed first divided difference lines. In this way a surface ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1985
ISSN: 0377-0427
DOI: 10.1016/0377-0427(85)90043-3