Results 1  10
of
32,545
Implementation and Verification of a NodallyIntegrated Tetrahedral Element in FEBio
, 2011
"... Finite element simulations in computational biomechanics commonly require the discretization of extremely complicated geometries. Creating meshes for these complex geometries can be very difficult and time consuming using hexahedral elements. Automatic meshing algorithms exist for tetrahedral elemen ..."
Abstract
 Add to MetaCart
Finite element simulations in computational biomechanics commonly require the discretization of extremely complicated geometries. Creating meshes for these complex geometries can be very difficult and time consuming using hexahedral elements. Automatic meshing algorithms exist for tetrahedral
Tetrahedral element shape optimization via the jacobian determinant and condition number
 IN PROCEEDINGS OF THE 8TH INTERNATIONAL MESHING ROUNDTABLE
, 1999
"... We present a new shape measure for tetrahedral elements that is optimal in the sense 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 tetra ..."
Abstract

Cited by 45 (6 self)
 Add to MetaCart
We present a new shape measure for tetrahedral elements that is optimal in the sense 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
Tetrahedral Element Shape Optimization via the Jacobian Determinant and Condition Number
 in Proceedings of the 8th International Meshing Roundtable
, 1999
"... . We present a new shape measure for tetrahedral elements that is optimal in the sense 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 tetr ..."
Abstract
 Add to MetaCart
. We present a new shape measure for tetrahedral elements that is optimal in the sense 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
Automated Meshing and Unit Cell Analysis of Periodic Composites with Hierarchical Quadratic Tetrahedral Elements
, 2001
"... Unit cell homogenization techniques together with the finite element method are very effective for computing equivalent mechanical properties of composites and heterogeneous materials systems. For systems with very complicated material arrangements, traditional, manual mesh generation can be a consi ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
Unit cell homogenization techniques together with the finite element method are very effective for computing equivalent mechanical properties of composites and heterogeneous materials systems. For systems with very complicated material arrangements, traditional, manual mesh generation can be a
Surface Crack Mesh Generation with Factory Roof under Mixed Mode Loading Using a Tetrahedral Element
"... Abstract. Recent development of crack propagation analysis is rapidly advanced and its applications are being extended. Usually finite element method is utilized for the analysis. One of the most important tasks is mesh generation which requires fully automated system and no failures. It is very dif ..."
Abstract
 Add to MetaCart
Abstract. Recent development of crack propagation analysis is rapidly advanced and its applications are being extended. Usually finite element method is utilized for the analysis. One of the most important tasks is mesh generation which requires fully automated system and no failures. It is very
Discrete DifferentialGeometry Operators for Triangulated 2Manifolds
, 2002
"... This paper provides a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a consistent derivation of these first and second order differential properties using averaging Vorono ..."
Abstract

Cited by 453 (17 self)
 Add to MetaCart
Voronoi cells and the mixed FiniteElement/FiniteVolume method, and compare them to existing formulations. Building upon previous work in discrete geometry, these new operators are closely related to the continuous case, guaranteeing an appropriate extension from the continuous to the discrete setting
Tetrahedral composite finite elements
, 2002
"... We develop and analyse a composite ‘CT3D’ tetrahedral element consisting of an ensemble of 12 fournode linear tetrahedral elements, coupled to a linear assumed deformation defined over the entire domain of the composite element. The element is designed to have welldefined lumped masses and contact ..."
Abstract

Cited by 8 (2 self)
 Add to MetaCart
We develop and analyse a composite ‘CT3D’ tetrahedral element consisting of an ensemble of 12 fournode linear tetrahedral elements, coupled to a linear assumed deformation defined over the entire domain of the composite element. The element is designed to have welldefined lumped masses
Progressive Tetrahedralizations
, 1998
"... This paper describes some fundamental issues for robust implementations of progressively refined tetrahedralizations generated through sequences of edge collapses. We address the definition of appropriate cost functions and explain on various tests which are necessary to preserve the consistency of ..."
Abstract

Cited by 64 (3 self)
 Add to MetaCart
This paper describes some fundamental issues for robust implementations of progressively refined tetrahedralizations generated through sequences of edge collapses. We address the definition of appropriate cost functions and explain on various tests which are necessary to preserve the consistency
ThreeDimensional Enclosures with Tetrahedral Finite Elements
, 2003
"... This article discusses computational techniques for simulating natural convection in threedimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave eq ..."
Abstract
 Add to MetaCart
This article discusses computational techniques for simulating natural convection in threedimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave
Tetrahedral Mesh Generation by Delaunay Refinement
 Proc. 14th Annu. ACM Sympos. Comput. Geom
, 1998
"... Given a complex of vertices, constraining segments, and planar straightline constraining facets in E 3 , with no input angle less than 90 ffi , an algorithm presented herein can generate a conforming mesh of Delaunay tetrahedra whose circumradiustoshortest edge ratios are no greater than two ..."
Abstract

Cited by 136 (6 self)
 Add to MetaCart
angles, although they are not all covered by the theoretical guarantee. 1 Introduction Meshes of triangles or tetrahedra have many applications, including interpolation, rendering, and numerical methods such as the finite element method. Most such applications demand more than just a triangulation
Results 1  10
of
32,545