Higher-order meshing of implicit geometries. II: Approximations on manifolds

DOI10.1016/j.cma.2017.07.037zbMath1439.65213arXiv1706.00840OpenAlexW2621750864MaRDI QIDQ2310061

Yanyan Li

Publication date: 6 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00840

zbMATH Keywords

manifoldlevel-set methodhigher-order FEMsurface PDEs

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 (12)

Conforming to interface structured adaptive mesh refinement: 3D algorithm and implementation ⋮ Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations ⋮ Immersed boundary-conformal isogeometric method for linear elliptic problems ⋮ A stable generalized/extended \(p\)-hierarchical FEM for three-dimensional linear elastic fracture mechanics ⋮ A unified finite strain theory for membranes and ropes ⋮ Higher-order accurate meshing of nonsmooth implicitly defined surfaces and intersection curves ⋮ A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics ⋮ Reissner-Mindlin shell theory based on tangential differential calculus ⋮ Kirchhoff-Love shell theory based on tangential differential calculus ⋮ High order exact geometry finite elements for seven-parameter shells with parametric and implicit reference surfaces ⋮ Higher-order conformal decomposition FEM (CDFEM) ⋮ Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces

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