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» A finite difference method for free boundary problems
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JCB
2006
79views more  JCB 2006»
14 years 9 months ago
A Stability Boundary Based Method for Finding Saddle Points on Potential Energy Surfaces
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...
Chandan K. Reddy, Hsiao-Dong Chiang
JSCIC
2006
81views more  JSCIC 2006»
14 years 9 months ago
An Improvement of a Recent Eulerian Method for Solving PDEs on General Geometries
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...
John B. Greer
71
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IMR
2004
Springer
15 years 3 months ago
Inverse Pre-Deformation of Finite Element Mesh for Large Deformation Analysis
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...
Arbtip Dheeravongkit, Kenji Shimada
SIAMNUM
2010
133views more  SIAMNUM 2010»
14 years 4 months ago
Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media
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...
Zhiming Chen, Weiying Zheng
84
Voted
SIAMSC
2010
125views more  SIAMSC 2010»
14 years 8 months ago
A Parallel Geometric Multigrid Method for Finite Elements on Octree Meshes
Abstract. In this article, we present a parallel geometric multigrid algorithm for solving elliptic partial differential equations (PDEs) on octree based conforming finite elemen...
Rahul S. Sampath, George Biros