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A Hybrid Variational Front Tracking-Level Set Mesh Generator For Problems Exhibiting Large Deformations and Topological Changes
Front Tracking Arbitrary-Lagrangian-Eulerian Mesh Method
2015/12/11
We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and
topological changes in an automatic way. We employ a method for detecting when topological ch...
On $L^p$ inequality for differential forms and $L^p$ cohomology of a semialgebraic set for $p>>1$
differential forms semialgebraic set Geometric Topology
2011/8/23
Abstract: We study Poincar\'e type $L^p$ inequality on a compact semialgebraic subset of $\R^n$ for $p>>1$. First we derive a local inequality by using a Lipschitz deformation retraction with estimate...
Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
Local structure of the set steady-state solutions 2D incompressible Euler equations
2011/1/21
It is well known that the incompressible Euler equations can be formulated in a very geometric language. The geometric structures provide very valuable insights into the properties of the solutions.