A new adaptive technique for the simulation of unsteady incompressible flows is presented. The initial mesh is generated based on a Cartesian grid with spatial decomposition and a simple optimization step to define the boundaries of the domain. This technique is fast and produces a quad-dominant mesh, while preserving the quality of the elements. Adaptive mesh refinement is performed based on t...

We study the stability of explicit one-step integration schemes for the linear finite element approximation of linear parabolic equations. The derived bound on the largest permissible time step is tight for any mesh and any diffusion matrix within a factor of 2(d + 1), where d is the spatial dimension. Both full mass matrix and mass lumping are considered. The bound reveals that the stability c...

Segmentation is an important prerequisite among many conventional modeling techniques in producing a surface or volume mesh. This poses as a major obstacle in the surgical simulation work flow due to the potential processing time and human intervention involved. The procedure's impracticability hinders subject-specific surgical applications from deploying in daily clinical environment. In this ...

Local mesh refinement severly impedes the e ciency of explicit time-stepping methods for numerical wave propagation. Local time-stepping (LTS) methods overcome the bottleneck due to a few small elements by allowing smaller time-steps precisely where those elements are located. Yet when the region of local mesh refinement itself contains a sub-region of even smaller elements, any local time-step...

We present an approach to view-dependent triangle mesh simplification based on vertex removal, which focuses on allowing the execution of a large number of operations in parallel. The individual vertex removal operations are designed to be applied without any need for communication or synchronisation between operations, thus allowing an efficient implementation on modern GPUs to reduce the comp...

To perform crack propagation in a solid model, a high computational power is required, mainly at three-dimensional mesh generation and structural analysis steps. At each crack propagation step, the mesh is rebuilt and a new structural analysis is performed. If a large scale cracked model is being analyzed, time consumed by mesh generation and analysis may be extremely large or even prohibitive ...

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