A finite element method for the simulation of a Rayleigh-Taylor instability

By A. Dervieux, F. Thomasset. 1980

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Citations in the corpus

Occupancy Networks: Learning 3D Reconstruction in Function Space (2018, background): “This idea is related to classical level set [10, 14, 50] approaches to multi-view 3D reconstruction [18,24,32,40,53,78].”
Deep Level Sets: Implicit Surface Representations for 3D Shape Inference (2019, methodology): “The Level Set method for representing moving interfaces was proposed independently by [26] and [8].”
Dynamical statistical shape priors for level set-based tracking (2006, methodology): “E-mail: dcremers@cs.uni-bonn.de 1 A precursor of the level set method was proposed in [ 11 ].”
Robust Variational Segmentation of 3D Objects from Multiple Views (2006, background): “2 Level Set Implementation The numerical implementation of the proposed energy functional (11) has been carried out within the level set framework [4,14] due to its stability and ability to handle topological changes automatically.”
Spatially adaptive techniques for level set methods and incompressible flow (2006, result): “On another note, two rather obscure works [25, 26] (published about 10 years before [69]) have recently surfaced bearing a remarkable resemblance to the level set method.”
Kernel Density Estimation and Intrinsic Alignment for Shape Priors in Level Set Segmentation (2006, methodology): “For a precursor containing some of these ideas we refer to the work of Dervieux and Thomasset (1979) .”
Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows (2018, methodology): “In the third class, the development of the level set method (Dervieux & Thomasset 1980), which was adapted to compressible ﬂuids (Aslam et al. 1996), and the more modern ghost ﬂuid method (Fedkiw et al. 1999), used to compute the pressure in mixture cells, allowed for further simplicity and level…”
Integral Invariants for Shape Matching (2006, methodology): “The level set method [ 23 ], [61] provides a framework to elegantly propagate boundaries in a way which allows for topological changes of the embedded contour and does not require reparameterization.”
Implicit Surface Representations As Layers in Neural Networks (2019, methodology): “The level set method introduced in [8, 27], and successfully applied in segmentation and medical image analysis [18, 33], is a mathematically elegant way of implicitly representing shape of an object and its boundary evolution in time, which can be represented as a zero level set of an embedding fun”
Modelling dynamic scenes by registering multi-view image sequences (2005, methodology): “We have implemented our method in the level set framework [ 4 , 16], motivated by its numerical stability and its ability to handle topological changes automatically.”
Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures (2009, methodology): “Another class of popular Eulerian methods is based on the level-set equation [13,34,36,47] to locate the interface.”
A Review of Statistical Approaches to Level Set Segmentation: Integrating Color, Texture, Motion and Shape (2007, methodology): “The most popular among these is the level set method ( Dervieux and Thomasset, 1979, 1981; Osher and Sethian, 1988), in which a contour is propagated by evolving a time-dependent embedding function φ(x, t) according to an appropriate partial differential equation.”
Distance Regularized Level Set Evolution and Its Application to Image Segmentation (2010, methodology): “Some key ideas in the level set method were proposed earlier by Dervieux and Thomasset [ 2 ], [3] in the late 1970s, but their work did not draw much attention.”