We describe a domain decomposition algorithm for use in several variants of the parallel adaptive meshing paradigm of Bank and Holst. This algorithm has low communication, makes extensive use of existing sequential solvers, and exploits in several important ways data generated as part of the adaptive meshing paradigm. We show that for an idealized version of the algorithm, the rate of convergen...

There is an increasing demand for mesh-based PDE simulations to provide reliable solutions for complex problems. A key step in ensuring simulation reliability is the application of unstructured adaptive meshing driven by error estimation procedures. Typically, interfacing of unstructured adaptive procedures with existing analysis components is done through files. File I/O is currently the criti...

Fluorescence diffuse optical tomography (FDOT) is a computationally demanding imaging problem. The discretizations of FDOT forward and inverse problems pose a trade-off between the accuracy and the computational efficiency of the image reconstruction. To address this trade-off, we analyzed the effect of discretization on the accuracy of FDOT imaging and proposed novel adaptive meshing algorithm...

The Bank-Holst adaptive meshing paradigm is an efficient approach for parallel adaptive meshing of elliptic partial differential equations. It is designed to keep communication costs low and to take advantage of existing sequential adaptive software. While in principle the procedure could be used in any parallel environment, it was mainly conceived for use on small Beowulf clusters with a relat...

Dense depth maps can be estimated in a Bayesian sense from multiple calibrated still images of a rigid scene relative to a reference view [1]. This well-established probabilistic framework is extended by adaptively refining a triangular meshing procedure and by automatic cross-validation of model parameters. The adaptive refinement strategy locally adjusts the triangular meshing according to th...

An adaptive three-dimensional mesh generation strategy is presented. In contrast to other work which is based on simple meshing techniques, we use advanced unstructured meshing techniques, driven by error estimators, to realize automatic adaptation and guarantee quality. The mesh optimization strategy is based on a classification scheme with a fuzzy indexing for the degree of degeneration of th...

In an effort to improve the robustness and efficiency of mesh adaptation, this work proposes an adaptive re-meshing method that can be used for variety of problems in CFD. It should be noted that this method is feature driven adaptivity and that it does not use strategies such as edge split, edge collapse, edge swap, etc as were employed in mesh modifications [2]. Instead, it defines the ”holes...