Higher-order accurate meshing of nonsmooth implicitly defined surfaces and intersection curves

DOI10.1134/S0965542519120169zbMath1451.65219OpenAlexW2988201715MaRDI QIDQ2206397

Thomas-Peter Fries, J. W. Stanford

Publication date: 22 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519120169

zbMATH Keywords

meshinghigher-order finite elementsimplicit surfaceintersection problems

Mathematics Subject Classification ID

Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Uses Software

• DistMesh

Cites Work

• Unnamed Item
• Can we find Willmore-like method for the tangential intersection problems?
• Generation of Delaunay meshes in implicit domains with edge sharpening
• Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding
• Tracing surface intersections
• Intersection of arbitrary surfaces
• Geometry representation issues associated with \(p\)-version finite element computations
• A marching method for the triangulation of surfaces
• Robust interval algorithm for surface intersections
• Higher-order meshing of implicit geometries. I: Integration and interpolation in cut elements
• Higher-order meshing of implicit geometries. II: Approximations on manifolds
• Higher-order conformal decomposition FEM (CDFEM)
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• Algebraic Mesh Quality Metrics
• Higher-order accurate integration of implicit geometries
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Mesh Generation
• Implicit Curves and Surfaces: Mathematics, Data Structures and Algorithms
• A new mesh generation scheme for arbitrary planar domains
• Generation of three‐dimensional unstructured grids by the advancing‐front method
• Automatic parameterization of rational curves and surfaces IV: algebraic space curves
• A Simple Mesh Generator in MATLAB
• Higher-Order Accurate Meshing of Implicitly Defined Tangential and Transversal Intersection Curves
• Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
• The Mathematical Theory of Finite Element Methods

This page was built for publication: Higher-order accurate meshing of nonsmooth implicitly defined surfaces and intersection curves