A finite element method for surface PDEs: Matrix properties

DOI10.1007/s00211-009-0260-4zbMath1204.65136OpenAlexW2053364845MaRDI QIDQ849061

Maxim A. Olshanskii, Arnold Reusken

Publication date: 24 February 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0260-4

zbMATH Keywords

finite elementsnumerical examplesspectral condition numberelliptic PDE on a surfaceouter triangulationtwo-phase flow problems

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations on manifolds, general theory (58J05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Boundary value problems on manifolds (58J32)

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Cites Work

• A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant
• A finite element method for surface PDEs: Matrix properties
• A front-tracking method for computation of interfacial flows with soluble surfactants
• A Finite Element Method for Elliptic Equations on Surfaces
• An h-narrow band finite-element method for elliptic equations on implicit surfaces
• An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces
• Finite Elements

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