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2011, Numerical mathematics and scientific computation., ISBN 0199601429, xx, 488
Book
Journal of Computational Physics, ISSN 0021-9991, 2010, Volume 229, Issue 8, pp. 2764 - 2772
In this paper, we consider reinitializing level functions through equation ϕ t + sgn ( ϕ 0 ) ( ‖ ∇ ϕ ‖ - 1 ) = 0 [16]. The method of Russo and Smereka... 
Reinitialization | Level set method | Subcell fix | ENO | Gauss–Seidel | Gauss-Seidel | HAMILTON-JACOBI EQUATIONS | ALGORITHMS | PHYSICS, MATHEMATICAL | FLOW | FRONTS | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | EFFICIENT | SCHEMES | Accuracy | Gauss-Seidel method | Stability | Discretization | Mathematical analysis | Mathematical models | Runge-Kutta method | Temporal logic
Journal Article
Chemical Engineering Science, ISSN 0009-2509, 11/2017, Volume 172, pp. 335 - 352
•A sigmoid function is used to describe the relationship between signed distance function and liquid volume fraction... 
Mass remedy | Sigmoid function | CPU cost | Level set method | Interface capturing | INCOMPRESSIBLE-FLOW | FRONT-TRACKING | VOLUME | VOF METHOD | ALGORITHMS | PRIMARY ATOMIZATION | ENGINEERING, CHEMICAL | DIRECT NUMERICAL-SIMULATION | INTERFACE METHOD | FLUID METHOD | PRIMARY BREAK-UP
Journal Article
International Journal for Numerical Methods in Fluids, ISSN 0271-2091, 03/2011, Volume 65, Issue 8, pp. 989 - 1010
Journal Article
European Journal of Operational Research, ISSN 0377-2217, 12/2015, Volume 247, Issue 3, pp. 1013 - 1016
....•The set function associated with the first problem is not submodular.•The set function associated with the second problem is submodular... 
Multi-level facility location | Submodularity | PLANT LOCATION | BRANCH | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | APPROXIMATION ALGORITHMS | BOUND ALGORITHM | Mathematical optimization | Analysis
Journal Article
Image and Vision Computing, ISSN 0262-8856, 2010, Volume 28, Issue 1, pp. 26 - 37
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 07/2012, Volume 36, Issue 7, pp. 3217 - 3228
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2016, Volume 310, pp. 1 - 32
In this paper, a feature-driven topology optimization method is developed. This is the first study on layout design of multiple engineering features using level-set functions (LSFs... 
Engineering feature | Topology optimization | Signed distance function | Heaviside function | Implicit function | LEVEL SET METHOD | SHAPE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | LAYOUT DESIGN | FINITE CELL METHOD | GEOMETRY | Mechanical engineering | Analysis | Methods
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2016, Volume 307, pp. 316 - 338
Journal Article
The Review of Economic Studies, ISSN 0034-6527, 01/2019, Volume 86, Issue 1, pp. 377 - 412
...$ is a known directionally differentiable function and $\theta_0$ is estimated by $\hat \theta_n$. In these settings, the asymptotic distribution of the plug-in estimator... 
Residual wage inequality | SET | Shape restrictions | PARAMETERS | Delta method | Directional differentiability | DEMAND | BOOTSTRAP | MODELS | BOUNDARY | ECONOMICS | Bootstrap consistency | WAGE INEQUALITY
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2018, Volume 295, Issue 2, pp. 499 - 509
Pacific J. Math. 295 (2018) 499-509 We establish a maximum principle for a two-point function in order to analyze the convexity of level sets of harmonic functions... 
Harmonic functions | Principal curvature | Maximum principle | Two point function | Convexity | Level sets | Mathematics - Analysis of PDEs
Journal Article
International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 06/2018, Volume 114, Issue 9, pp. 999 - 1017
... selected from a larger suite of usable materials. The material distribution is parameterized via the shape functions with penalization formulation in which a set of activation functions, which are derived from a partition of the unit hypercube... 
additive manufacturing | topology optimization | multimaterial optimization | MULTIMATERIAL | SYSTEM | LEVEL-SET METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | COMPOSITE-MATERIALS | MODEL | STRUCTURAL OPTIMIZATION | CONSTRAINT | 3D printing | Finite element method | Three dimensional printing | Elasticity | Topology optimization | Hypercubes | Activation | Materials selection | Shape functions
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2011, Volume 74, Issue 15, pp. 5081 - 5087
Recently, Maddock (2006)  [12] has conjectured that the Hausdorff dimension of each level set... 
Hausdorff dimension | Takagi’s function | Level set | Box counting | Takagi's function | MATHEMATICS | MATHEMATICS, APPLIED | Nonlinearity
Journal Article
Structural and Multidisciplinary Optimization, ISSN 1615-147X, 9/2016, Volume 54, Issue 3, pp. 659 - 672
Journal Article