This paper describes easy and effective adaptive technique for Finite Element Method. Utilize Hex-R which refine an existing mesh. Refined mesh keeps original coarse mesh topologically. Finally capability of adaptive method using Hex-R is mentioned. Introduction Adaptive technique is one of the most important issues in order to realize effective FEM analysis process. Many works for adaptive mes...

An automatic adaptive quadrilateral mesh conversion scheme for the generation of adaptive refinement meshes over analytical curved surfaces is proposed. The starting point of the quadrilateral mesh generator is a background triangular mesh of the curved surface. By a carefully controlled process to merge two triangles at a time the triangular mesh can be completely converted to quadrilaterals. ...

An approach hybrid optical-computational criterion to generate an adaptive refinement mesh to be used in mechanical structure analysis with Finite Element Method (FEM) is proposed. The numerical error to determine the refinement zones in adaptive meshing is substituted for an experimental weight function. Experimental optical phase map is used to define this weight function. This criterion perm...

We have developed a flexible tool for efficient parallel adaptive mesh refinement on a sphere. Adaptive mesh refinement allows one to concentrate computational resources on regions of interest, and by extending to spheres we have extended their applicability to climatology and other large scale planetary phenomena. The system is effective for our space weather application and as a general purpo...

We have applied structured adaptive mesh refinement techniques to the solution of the LDA equations for electronic structure calculations. Local spatial refinement concentrates memory resources and numerical effort where it is most needed, near the atomic centersand in regions of rapidly varying charge density. The structured grid representation enables us to employ efficient iterative solver t...

This paper presents a numerical entropy production (NEP) scheme for two-dimensional shallow water equations on unstructured triangular grids. We implement NEP as the error indicator for adaptive mesh refinement or coarsening in solving the shallow water equations using a finite volumemethod. Numerical simulations show thatNEP is successful to be a refinement/coarsening indicator in the adaptive...