On global and local mesh refinements by a generalized conforming bisection algorithm

On global and local mesh refinements by a generalized conforming bisection algorithm

Transient Mesh Adaptation Using Conforming and Non Conforming Mesh Modifications

In this paper, we present a method for performing isotropic and anisotropic adaptive computations. The discontinuous Galerkin method that is used for solving transient flow problem is briefly introduced. We show then a general scheme to compute high-order derivatives of discontinuous fields. The Hessian of the density is used for computing a correction indicator. We present three sample problem...

On a Bisection Algorithm That Produces Conforming Locally Refined Simplicial Meshes

First we introduce a mesh density function that serves as a criterion to decide, where a simplicial mesh should be fine (dense) and where it should be coarse. Further, we propose a new bisection algorithm that chooses for bisection an edge in a given mesh associated with the maximum value of the mesh density function. Dividing this edge at its midpoint, we correspondingly bisect all simplices s...

A Local/Global Approach to Mesh Parameterization

We present a novel approach to parameterize a mesh with disk topology to the plane in a shape-preserving manner. Our key contribution is a local/global algorithm, which combines a local mapping of each 3D triangle to the plane, using transformations taken from a restricted set, with a global "stitch" operation of all triangles, involving a sparse linear system. The local transformations can be ...

Boundary Conforming Delaunay Mesh Generation

Many physical phenomena can be modeled by partial differential equations which may be solved by numerical methods such as finite element and finite volume methods. In this context, a given domain must first be subdivided into many simple cells. Both the shape and size of the cells will affect the accuracy and convergence of the method. A boundary conforming Delaunay mesh is a partition of a pol...