Cell-based maximum-entropy approximants
type: Item
instance of: scholarly article
title: Cell-based maximum-entropy approximants
zbMATH Open document ID: 1425.65172
author: Daniel Millán
author: N. Sukumar
author: M. Arroyo
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-10-22T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 6960558
zbMATH Keywords: Delaunay mesh
zbMATH Keywords: relative entropy
zbMATH Keywords: smooth and nonnegative basis functions
zbMATH Keywords: compact-support
zbMATH Keywords: R-functions
zbMATH Keywords: approximate distance function
describes a project that uses: TUBA3
MaRDI profile type: Publication
full work available at URL: j.cma.2014.10.012
OpenAlex ID: W1993267516
cites work: Element‐free Galerkin methods
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric analysis using T-splines
cites work: Q4493872
cites work: Subdivision shells with exact boundary control and non-manifold geometry
cites work: Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
cites work: Construction of polygonal interpolants: a maximum entropy approach
cites work: On the optimum support size in meshfree methods: A variational adaptivity approach with maximum-entropy approximants
cites work: Second-order convex maximum entropy approximants with applications to high-order PDE
cites work: Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants
cites work: A consistently coupled isogeometric-meshfree method
cites work: Reproducing kernel particle methods
cites work: Surfaces Generated by Moving Least Squares Methods
cites work: Semi-analytic geometry with R-functions
cites work: Approximate distance fields with non-vanishing gradients
cites work: Q4162607
cites work: A method for creating a class of triangular \(C^{1}\) finite elements
cites work: Reproducing kernel element method. I: Theoretical formulation
cites work: Arbitrarily smooth generalized finite element approximations
cites work: On Information and Sufficiency
cites work: Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
cites work: Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
cites work: Deriving the Continuity of Maximum-Entropy Basis Functions via Variational Analysis
cites work: Q3442500
cites work: Smooth, second order, non-negative meshfree approximants selected by maximum entropy
cites work: A higher order method based on local maximum entropy approximation
cites work: Imposing essential boundary conditions in mesh-free methods
cites work: Meshfree co-rotational formulation for two-dimensional continua
cites work: Optimal transportation meshfree approximation schemes for fluid and plastic flows
cites work: An adaptive meshfree method for phase-field models of biomembranes. II: A Lagrangian approach for membranes in viscous fluids
cites work: Maximum-entropy meshfree method for compressible and near-incompressible elasticity
cites work: A locking-free meshfree method for the simulation of shear-deformable plates based on a mixed variational formulation
cites work: Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons
cites work: Information-flux method: a meshfree maximum-entropy Petrov-Galerkin method including stabilised finite element methods
cites work: Adaptive meshless local maximum-entropy finite element method for convection-diffusion problems
cites work: Heterogeneous material modeling with distance fields
cites work: Isogeometric enriched field approximations
cites work: Kernel functions in convolution surfaces: A comparative analysis
cites work: CONTROLLABLE BINARY CSG OPERATORS FOR "SOFT OBJECTS"
cites work: A gradient-based implicit blend
cites work: Centroidal Voronoi Tessellations: Applications and Algorithms
DOI: 10.1016/J.CMA.2014.10.012
description: scientific article; zbMATH DE number 6960558