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Level Sets of the Takagi Function: Generic Level Sets
the Takagi Function Generic Level Sets
2010/11/19
The Takagi function \tau : [0, 1] \to [0, 1] is a continuous non-differentiable function constructed by Takagi in 1903. This paper studies the level sets L(y) = {x : \tau (x) = y} of the Takagi funct...
A Multi-mesh Adaptive Level Set Approach for Incompressible Two-Phase Flow
level set method multi-mesh adaptive finite element method reinitializa- tion
2015/5/6
In this paper, we propose a multi-mesh h-adaptive method to solve the level set model of incompressible two-phase flow. In the method, we approximate the flow variables and the level set function on t...
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Fermionic formulas Kostka polynomials coset branching functions
2010/10/29
Level-restricted paths play an important role in crystal theory. They correspond to certain highest weight vectors of modules of quantum affine algebras. We show that the recently established bijecti...