Complexity bounds on supermesh construction for quasi-uniform meshes

DOI10.1016/j.jcp.2020.109459zbMath1440.65015arXiv1911.11589OpenAlexW3015366015MaRDI QIDQ2194311

Matteo Croci, Patrick E. Farrell

Publication date: 25 August 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.11589

zbMATH Keywords

interpolationalgorithmic complexityconservationcomplexity boundGalerkin projectionsupermesh

Mathematics Subject Classification ID

Numerical interpolation (65D05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20)

Related Items (2)

A probabilistic finite element method based on random meshes: a posteriori error estimators and Bayesian inverse problems ⋮ Multilevel Quasi Monte Carlo Methods for Elliptic PDEs with Random Field Coefficients via Fast White Noise Sampling

Uses Software

• CutFEM
• ParMoonolith

Cites Work

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• Conservative interpolation between volume meshes by local Galerkin projection
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• Conservative handling of arbitrary non-conformal interfaces using an efficient supermesh
• Multimesh finite element methods: solving PDEs on multiple intersecting meshes
• Efficient parallelization for volume-coupled multiphysics simulations on hierarchical Cartesian grids
• CutFEM: Discretizing geometry and partial differential equations
• Efficient White Noise Sampling and Coupling for Multilevel Monte Carlo with Nonnested Meshes
• A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes

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