Algorithms of quadrilateral mesh partition and optimization based on cloud data are proposed in the paper. Quadrilateral meshes are partite by means of dynamic edge-extending according to the types of the nodes. The mesh optimization algorithms are designed, and topology optimization of degree 2 and 3 node and region mesh optimization processing based on viewpoint are programmed and debugged as...

Quadrilateral meshes offer certain advantages compared to triangular ones, such as reduced number of elements and alignment with problem-specific directions. We present a pipeline for the generation quadrilateral on complex geometries. It is based two key components: robust surface meshing efficient indirect conversion mesh an all-quad one. The input valid geometric mesh, i.e., triangulation th...

We consider a quadrilateral ’mini’ finite element for approximating the solution of Stokes equations using a quadrilateral mesh. We use the standard bilinear finite element space enriched with element-wise defined bubble functions for the velocity and the standard bilinear finite element space for the pressure space. With a simple modification of the standard bubble function we show that a sing...

We study the mixed Dirichlet–Neumann problem for Laplace equation in complement of a bounded convex polygonal quadrilateral extended complex plane. The Dirichlet / Neumann conditions at opposite pairs sides are $$\{0,1\}$$ and $$\{0,0\},$$ resp. solution to this is harmonic function unbounded polygon known as potential quadrilateral. compute values u including its value infinity. main result pa...

Todays car body models used for crash-worthiness simulations consist of around half a million nite elements. The interactive visualization of these large scale time-dependent geometries with constant topology on workstation platforms requires a variety of modeling and rendering optimizations. We present a memory eecient scene graph design, an algorithm to concatenate the mainly four-sided eleme...

We present a new algorithm for highly accurate computation of axisymmetric potential flow. The principal feature of the algorithm is the use of orthogonal curvilinear coordinates. These coordinates are used to write down the equations and to specify quadrilateral elements following the boundary. In particular, boundary conditions for the Stokes’ stream-function are satisfied exactly. The veloci...