A preliminary version of OpenNCC was tested to assess its accuracy in generating steady-state temperature fields for combustion systems at atmospheric conditions using three-dimensional tetrahedral meshes. Meshes were generated from a CAD model of a single-element lean-direct injection combustor, and the latest version of OpenNCC was used to calculate combustor temperature fields. OpenNCC was s...

To preoperatively assess the functional outcome of a total joint replacement, finite element analysis can be used for an objective evaluation of individual implant configurations. For large scale studies, where the implant configuration is varied in size, position or design, numerous finite element meshes have to be generated. To improve the planning process we propose a method that outputs a m...

We present a parallel octree-based finite element method for large-scale earthquake ground motion simulation in realistic basins. The octree representation combines the low memory per node and good cache performance of finite difference methods with the spatial adaptivity to local seismic wavelengths characteristic of unstructured finite element methods. Several tests are provided to verify the...

SUMMARY We present a new shape measure for tetrahedral elements that is optimal in that it gives the distance of a tetrahedron from the set of inverted elements. This measure is constructed from the condition number of the linear transformation between a unit equilateral tetrahedron and any tetrahedron with positive volume. Using this shape measure, we formulate two optimization objective funct...

This report investigates the feasibility of applying Adaptive Mesh Refinement (AMR) techniques to a vector finite element formulation for the wave equation in three dimensions. Possible error estimators are considered first. Next, approaches for refining tetrahedral elements are reviewed. AMR capabilities within the Nevada framework are then evaluated. We summarize our conclusions on the feasib...

This paper presents a nonconforming finite element approximation of the space of symmetric tensors with square integrable divergence, on tetrahedral meshes. Used for stress approximation together with the full space of piecewise linear vector fields for displacement, this gives a stable mixed finite element method which is shown to be linearly convergent for both the stress and displacement, an...

This paper presents a novel three-dimensional finite element generation method for assessing the biomechanical behavior of multi-connected complex teeth and mandible structure. Tetrahedron was chosen as the basic element type for its adaptability to structures with darerent geometrical complexities. The element generation was implemented by combining two tetragons in adjacent image slices. By e...

holds for all v ∈ H Γ1(Ω). Problem (1) will be discretized by means of the hp-version of the finite element method using triangular/tetrahedral elements △s, s = 1, . . . , nel, see e.g. Schwab [1998], Solin et al. [2003]. Let △̂d, d = 2, 3 be the reference triangle (tetrahedron) and Fs : △̂ → △s be the (possibly nonlinear) isoparametric mapping to the element △s. We define the finite element spac...