Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees

DOI10.1145/3104989zbMath1484.65047arXiv1601.03597OpenAlexW2749792993WikidataQ113310111 ScholiaQ113310111MaRDI QIDQ4581370

Christian Engwer, Andreas Nüßing

Publication date: 17 August 2018

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03597

zbMATH Keywords

numerical quadraturesurface reconstructioncut-cell methodsgeometry reconstructionlevel-setsmarching cubesimplicit domains

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical integration (65D30)

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Domain of Dependence Stabilization for the Acoustic Wave Equation on 2D Cut-Cell Meshes ⋮ The \textsc{Dune} framework: basic concepts and recent developments ⋮ A Stabilized DG Cut Cell Method for Discretizing the Linear Transport Equation ⋮ An unfitted dG scheme for coupled bulk-surface PDEs on complex geometries ⋮ High-order cut discontinuous Galerkin methods with local time stepping for acoustics ⋮ Numerical integration over implicitly defined domains with topological guarantee

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