Fast algorithms for intersection of non-matching grids using Plücker coordinates

DOI10.1016/j.camwa.2017.01.028zbMath1375.65165OpenAlexW2592735265MaRDI QIDQ2406759

Jan Březina, Pavel Exner

Publication date: 6 October 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.01.028

zbMATH Keywords

algorithmfinite element methodnon-conforming meshPlücker coordinatesadvancing front methodnon-matching gridmesh intersectionmixed-dimensional mesh

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

A Provably Robust Algorithm for Triangle-triangle Intersections in Floating-point Arithmetic ⋮ Extended finite element method in mixed-hybrid model of singular groundwater flow ⋮ An object‐oriented geometric engine design for discontinuities in unfitted/immersed/enriched finite element methods ⋮ A matrix-free Chimera approach based on Dirichlet-Dirichlet coupling for domain composition purposes ⋮ A new discrete fracture approach based on the use of coupling finite elements for modeling fluid transport in naturally fractured porous media ⋮ On the interface matrix for fluid-structure interaction problems with fictitious domain approach

Uses Software

• DOLFIN
• FEniCS
• GTS
• SyFi
• PANG
• GitHub

Cites Work

• Polyhedral and algebraic methods in computational geometry
• Adaptive precision floating-point arithmetic and fast robust geometric predicates
• The mortar finite element method with Lagrange multipliers
• Analysis of a Chimera method
• Analysis of Model Error for a Continuum-Fracture Model of Porous Media Flow
• The extended/generalized finite element method: An overview of the method and its applications
• Algorithm 932
• Numerical modelling of multiphase subsurface flow in the presence of fractures
• Towards a Unified Framework for Scientific Computing
• Efficient Implementation of Finite Element Methods on Nonmatching and Overlapping Meshes in Three Dimensions
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media

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