Mark W. Beall

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Software tools for the solution of partial diierential equations using parallel adaptive nite element methods have been developed. We describe the design and implementation of the parallel mesh structures within an adaptive framework. The most fundamental concept is that of a hierarchical partition model used to distribute nite element meshes and associated(More)
An object-oriented framework for general numerical simulations has been developed that is designed to enable the rapid development of new analysis techniques. The framework is currently being used to implement finite element and partition of unity solution techniques. This paper discusses the overall design of the framework and gives details of how finite(More)
This paper presents a parallel adaptive mesh control procedure designed to operate with high-order finite element analysis packages to enable large-scale automated simulations on massively parallel computers. The curved mesh adaptation procedure uses curved entity mesh modification operations that explicitly consider the influence of the curved mesh(More)
This paper discusses the technologies needed to support the application of simulation-based design. Emphasis is placed on the technical components that must be added to existing CAD and CAE tools to enable the application of simulation-based design. These components include a simulation model manager, simulation data manager, adaptive control tools and(More)
This paper is a follow-up to a previous one [7] in which an algorithm to eliminate the adverse effects of small model features at the mesh level was presented. The present paper provides three additions to the original procedure. They are (i) a more efficient implementation in which those features that can be eliminated after surface mesh generation are(More)
To achieve the exponential rates of convergence possible with the p-version finite element method requires properly constructed meshes. In the case of piecewise smooth domains, these meshes are characterized by having large curved elements over smooth portions of the domain and geometrically graded curved elements to isolate the edge and vertex(More)
. This paper presents the design and implementation of an attribute management system that supports the specification of information, past that of the domain definition, needed to qualify an engineering analysis. The information anaged by this system includes various order tensors eeded to specify the analysis attributes of material properties, oads, and(More)
A procedure for anisotropic mesh adaptation accounting for mixed element types and boundary layer meshes is presented. The method allows to automatically construct meshes on domains of interest to accurately and efficiently compute key flow quantities, especially near wall quantities like wall shear stress. The new adaptive approach uses local mesh(More)
This paper considers the technologies needed to support the creation of adaptively constructed meshes for general curved three-dimensional domains and outlines one set of solutions for providing them. A brief review of an effective way to integrate mesh generation/adaptation with CAD geometries is given. A set of procedures that support general h-adaptive(More)