Abstract: This paper presents strategies for dynamically creating, managing and removing mesh cells during computations in the context of the Material Point Method (MPM). The dynamic meshing approach has been developed to help address problems involving motion of a finite size body in unbounded domains in which the extent of material travel and deformation is unknown a priori, such as in the case of landslides and debris flows. The key idea is to efficiently instantiate and search only cells that contain material points, thereby avoiding unneeded storage and computation. Mechanisms for doing this efficiently are presented, and example problems are used to demonstrate the effectiveness of dynamic mesh management relative to alternative approaches.
Abstract: This paper presents work characterizing finite element
performance boundaries within which live, interactive finite element
modeling is feasible on current and emerging systems. These results
are based on wide-ranging tests performed using a prototype finite
element program implemented specifically for this study, thereby enabling
the unified investigation of numerous direct and iterative solver
strategies and implementations in a variety of modeling contexts.
The results are intended to be useful for researchers interested in
interactive analysis by providing baseline performance estimates, to
give guidance in matching solution strategies to problem domains,
and to spur further work addressing the challenge of extending the
present boundaries.