Analysis of Highly Accurate Finite Element Based Algorithms for Computing Distances to Level Sets

DOI10.1137/15M1011524zbMath1360.65264OpenAlexW2589246859MaRDI QIDQ2968166

Jörg Grande

Publication date: 10 March 2017

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

Full work available at URL: https://doi.org/10.1137/15m1011524

zbMATH Keywords

algorithmconvergencefinite elementsnumerical experimentsgradient recoverylevel setssemismooth Newton methodquasi distancenested fixed point iteration

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Elliptic equations on manifolds, general theory (58J05)

Related Items (4)

An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces ⋮ A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces ⋮ A Posteriori Error Estimates for the Laplace--Beltrami Operator on Parametric $C^2$ Surfaces ⋮ A Higher Order Finite Element Method for Partial Differential Equations on Surfaces

Uses Software

• NewtonLib
• DROPS

Cites Work

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• Introduction to Smooth Manifolds
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• An accurate and robust finite element level set redistancing method
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• Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
• Multidimensional binary search trees used for associative searching
• A Semismooth Newton Method with Multidimensional Filter Globalization for $l_1$-Optimization
• Finite Element Discretization Error Analysis of a General Interfacial Stress Functional
• An Adaptive Finite Element Method for the Laplace–Beltrami Operator on Implicitly Defined Surfaces

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