Parameterization of planar curves immersed in triangulations with application to finite elements

DOI10.1002/nme.3189zbMath1242.65242OpenAlexW1963598977MaRDI QIDQ2894829

Adrian J. Lew, Ramsharan Rangarajan

Publication date: 2 July 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.3189

zbMATH Keywords

high-order finite elementsimmersed boundarycurve parameterizationclosest-point projection

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)

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Cites Work

• A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
• Provably good mesh generation
• Solving variational problems and partial differential equations mapping into general target manifolds.
• Point inversion and projection for nurbs curve and surface: control polygon approach
• A simple embedding method for solving partial differential equations on surfaces
• Improved algorithms for the projection of points on NURBS curves and surfaces
• A second order algorithm for orthogonal projection onto curves and surfaces
• The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces
• Inverse geometry heat transfer problem based on a radial basis functions geometry representation
• Mesh Generation
• A discontinuous-Galerkin-based immersed boundary method
• Polygonal Domain Approximation in Dirichlet's Problem
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