Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces

DOI10.1137/140982696zbMath1317.65237arXiv1407.3043OpenAlexW1482043979MaRDI QIDQ5499976

Sara Zahedi, Mats G. Larson, Peter Hansbo

Publication date: 5 August 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.3043

zbMATH Keywords

Laplace-Beltramidiscrete curvaturetangential calculuscontinuous interior penalty

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (9)

Analysis of the finite element method for the Laplace-Beltrami equation on surfaces with regions of high curvature using graded meshes ⋮ Arbitrary Lagrangian-Eulerian hybridizable discontinuous Galerkin methods for incompressible flow with moving boundaries and interfaces ⋮ Fictitious domain method: a stabilized post-processing technique for boundary-flux calculation using cut elements ⋮ A cut finite element method for incompressible two-phase Navier-Stokes flows ⋮ A CutFEM method for two-phase flow problems ⋮ Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement ⋮ Higher-order conformal decomposition FEM (CDFEM) ⋮ A cut finite element method for two-phase flows with insoluble surfactants ⋮ Energy stable arbitrary Lagrangian Eulerian finite element scheme for simulating flow dynamics of droplets on non-homogeneous surfaces

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