Development of Unstructured Curved Meshes with G 1 Surface Continuity for High-Order Finite Element Simulations

DOI10.1007/978-3-319-19800-2_30zbMath1352.65357OpenAlexW2403372656MaRDI QIDQ2831221

Mark S. Shephard, Qiukai Lu

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_30

zbMATH Keywords

numerical examplehigh-order finite element simulationsunstructured curved meshes with \(C^1\) surface continuity

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• Unnamed Item
• High-order spectral/\(hp\) element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• \(G^1\)-interpolation and geometry reconstruction for higher order finite elements
• Geometry representation issues associated with \(p\)-version finite element computations
• Triangular \(G^{1}\) interpolation by 4-splitting domain triangles
• Approximate optimal points for polynomial interpolation of real functions in an interval and in a triangle
• Thep-Version of the Finite Element Method

This page was built for publication: Development of Unstructured Curved Meshes with G 1 Surface Continuity for High-Order Finite Element Simulations