Concepedia
Journal of Computational Physics · 2004 · 59 citations · 8 references
Open access
ComputingComputer ScienceMathematicsComputational GeometryFinite Element AnalysisOptimizationGeometric OptimizationGeometry ProcessingOptimization In MechanicsShape AnalysisShape OptimizationShape RepresentationLevel Set Topology
8
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
Stanley Osher, James A. Sethian · Journal of Computational Physics · 1988 · 13.9K citations · Full text
Computing, Computer Science, Computational Geometry +8
Structural Boundary Design via Level Set and Immersed Interface Methods
James A. Sethian, Andreas Wiegmann · Journal of Computational Physics · 2000 · 1.3K citations
Engineering, Computational Engineering, Mechanical Engineering +13
An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
Mark Sussman, Emad Fatemi · SIAM Journal on Scientific Computing · 1999 · 651 citations · Full text
Computing, Computer Science, Physics +17
A level-set method for shape optimization
Grégoire Allaire, François Jouve, Anca-Maria Toader · Comptes Rendus Mathématique · 2002 · 621 citations
Computing, Computer Science, Mathematics +9
Level Set Methods for Optimization Problems Involving Geometry and Constraints
Stanley Osher, Fadil Santosa · Journal of Computational Physics · 2001 · 548 citations
Natural Sciences, Computational Engineering, Mathematics +14