CHARMS: a simple framework for adaptive simulation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Adaptive finite volume element method for convection-diffusion-reaction problems in 3-D
Scientific computing and applications
An object oriented method for tetrahedral mesh refinement
ICECT'03 Proceedings of the third international conference on Engineering computational technology
Parameter estimation in a 3-D wind field adaptive model using GAs
ICECT'03 Proceedings of the third international conference on Engineering computational technology
Mesh quality improvement and other properties in the four-triangles longest-edge partition
Computer Aided Geometric Design
Spacetime meshing with adaptive refinement and coarsening
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Local refinement of 3-D triangulations using object-oriented methods
Advances in Engineering Software - Special issue on engineering computational technology
Advances in Engineering Software - Special issue on evolutionary optimization of engineering problems
Average adjacencies for tetrahedral skeleton-regular partitions
Journal of Computational and Applied Mathematics
Simplification and improvement of tetrahedral models for simulation
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Adaptive unstructured volume remeshing - I: The method
Journal of Computational Physics
Adaptive techniques for unstructured nested meshes
Applied Numerical Mathematics - Applied scientific computing: Advances in grid generation, approximation and numerical modeling
The seven-triangle longest-side partition of triangles and mesh quality improvement
Finite Elements in Analysis and Design
Effect of band structure discretization on the performance of full-band Monte Carlo simulation
Mathematics and Computers in Simulation
Average adjacencies for tetrahedral skeleton-regular partitions
Journal of Computational and Applied Mathematics
On global and local mesh refinements by a generalized conforming bisection algorithm
Journal of Computational and Applied Mathematics
Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes
SIAM Journal on Scientific Computing
On a bisection algorithm that produces conforming locally refined simplicial meshes
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients
Computational Mechanics
Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes
Journal of Scientific Computing
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We present an algorithm for the construction of locally adapted conformal tetrahedral meshes. The algorithm is based on bisection of tetrahedra. A new data structure is introduced, which simplifies both the selection of the refinement edge of a tetrahedron and the recursive refinement to conformity of a mesh once some tetrahedra have been bisected. We prove that repeated application of the algorithm leads to only finitely many tetrahedral shapes up to similarity, and we bound the amount of additional refinement that is needed to achieve conformity. Numerical examples of the effectiveness of the algorithm are presented.