A new finite element approach for solving three-dimensional problems using trimmed hexahedral elements
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Publication:2952735
DOI10.1002/nme.4850zbMath1352.65519OpenAlexW2141496232MaRDI QIDQ2952735
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.4850
finite elementsbarycentric coordinatespolyhedral elementsmoving least square approximationtrimmed hexahedral elements
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Cites Work
- A novel scheme to generate meshes with hexahedral elements and poly-pyramid elements: the carving technique
- A finite element scheme with the aid of a new carving technique combined with smoothed integration
- Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
- An automatic 3D mesh generation method for domains with multiple materials
- Isogeometric analysis with trimming technique for problems of arbitrary complex topology
- Barycentric coordinates for convex polytopes
- The partitioned element method in computational solid mechanics
- A general geometric construction of coordinates in a convex simplicial polytope
- Development of three-dimensional interface elements for coupling of non-matching hexahedral meshes
- A smoothed finite element method for mechanics problems
- A rational finite element basis
- Meshless methods: An overview and recent developments
- A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
- On a finite element method with variable element topology
- Incremental topological flipping works for regular triangulations
- Mean value coordinates
- Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
- A general construction of barycentric coordinates over convex polygons
- Mean value coordinates in 3D
- Harmonic Function Theory
- A new automatic hexahedral mesher based on cutting
- The generation of hexahedral meshes for assembly geometry: survey and progress
- A displacement-based finite element formulation for general polyhedra using harmonic shape functions
- AN AUTOMATIC TETRAHEDRAL MESH GENERATION SCHEME BY THE ADVANCING FRONT METHOD
- Stabilized conforming nodal integration in the natural-element method
- A three-dimensional finite element method with arbitrary polyhedral elements
- Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method
- Rational Wachspress-type Finite Elements on Regular Hexagons
- The natural element method in solid mechanics
- Elastic crack growth in finite elements with minimal remeshing
- The meshless finite element method
- Survey of meshless and generalized finite element methods: A unified approach
- Triangulation of arbitrary polyhedra to support automatic mesh generators
- On exact quadrature formulas for harmonic functions on polyhedra
- Conforming polygonal finite elements