The task of finding saddle points on potential energy surfaces plays a crucial role in understanding the dynamics of a micromolecule as well as in studying the folding pathways of...
We improve upon a method introduced in (Bertalmio et. al. JCP 2001) for solving evolution PDEs on codimension-one surfaces in RN. As in the original method, by representing the su...
In the finite element analysis that deals with large deformation, the process usually produces distorted elements at the later stages of the analysis. These distorted elements lea...
In this paper, we propose a uniaxial perfectly matched layer (PML) method for solving the time-harmonic scattering problems in two-layered media. The exterior region of the scatter...
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...