Finite Element Methods on Very Large, Dynamic Tubular Grid Encoded Implicit Surfaces

DOI10.1137/080718334zbMath1190.65153OpenAlexW1963864166MaRDI QIDQ3567027

Martin Rumpf, Oliver Nemitz, Ross T. Whitaker, Michael B. Nielsen

Publication date: 10 June 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0295e7ea75c6d5be7d98051e2aa6533a82dec4f7

zbMATH Keywords

numerical examplesfinite elementinitial value problemreaction-diffusion equationcurvature motionlevel set methodspartial differential equations on surfacesnarrow band approach

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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A multigrid finite element method for reaction-diffusion systems on surfaces ⋮ Out-of-core computations of high-resolution level sets by means of code transformation ⋮ Solving eigenvalue problems on curved surfaces using the closest point method ⋮ Geometry processing from an elastic perspective

Uses Software

• Stanford 3D Scanning Repository