Adaptive refinement of finite element approximations on tetrahedral meshes is generally considered to be a non-trivial task. (We wish to stress that this paper deals with mesh refinement as opposed to remeshing.) The splitting individual finite elements needs to be done with much care to prevent significant deterioration of the shape quality of the elements of the refined meshes. Considerable c...

This paper presents an iterative algorithm for approximating gray-scale images with adaptive triangular meshes ensuring a given tolerance. At each iteration, the algorithm applies a non-iterative adaptive meshing technique. In this way, this technique converges faster than traditional mesh refinement algorithms. The performance of the proposed technique is studied in terms of compression ratio ...

This article presents special quadrilateral quadratic refinement elements, which provide geometry and field continuity across Tjunctions where two elements are connected to one side of a larger quadrilateral. The main idea in element refinement is to place one or more nodes outside the element area and to modify element shape functions in order to maintain continuity at refinement edges. Specia...

We adopt parallel computing and adaptive mesh refinement in a class of iterative inverse solution strategies for tomographic surveys. Due to the algorithmic structure of these inverse solvers, a combination of data parallelism and task parallelism is best suited. Targeting clusters of multicore processor chips, it also justifies to use a mixture of message passing and threads. Moreover, adaptiv...

A block-structured adaptive mesh refinement (AMR) method is applied to the problem of computing acoustic radiation from an aeroengine intake. The aim is to improve the efficiency of the computation through reduction of computational cells. A parallel implementation of the adaptive mesh refinement algorithm is achieved using message passing interface. It combines a range of 2and 4-order spatial ...

In this paper we describe an adaptive Cartesian grid method for modeling time-dependent inviscid compressible flow in irregular regions, In this approach a body is treated as an interface embedded in a regular Cartesian mesh. The single grid algorithm uses an unsplit second-order Godunov algorithm followed by a corrector applied to celis at the boundary. The discretization near the fluidbody in...

Important problems in Computational Medicine exist that can beneet from the implementation of adaptive mesh reenement techniques. Biological systems are so inherently complex that only eecient models running on state of the art hardware can begin to simulate reality. To tackle the complex geometries associated with medical applications we present a general purpose mesh generation scheme based u...

a r t i c l e i n f o a b s t r a c t Adaptive mesh refinement Digital topology Volume-of-fluid Multi-phase simulation In numerical simulations of multi-scale, multi-phase flows, grid refinement is required to resolve regions with small scales. A notable example is liquid-jet atomization and subsequent droplet dynamics. It is essential to characterize the detailed flow physics with variable len...

A multilevel adaptive refinement technique is presented for unstructured quadrilateral meshes in which the mesh is kept conformal at all times. This means that the refined mesh, like the original, is formed of only quadrilateral elements that intersect strictly along edges or at vertices, i.e., vertices of one quadrilateral element do not lie in an edge of another quadrilateral. Elements are re...