kFEM: adaptive meshfree finite-element methods using local kernels on arbitrary subdomains

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Cites Work

The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
Convergent meshfree approximation schemes of arbitrary order and smoothness
Multicloud: Multigrid convergence with a meshless operator
Various contact approaches for the finite cell method
The finite cell method for three-dimensional problems of solid mechanics
Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
Meshless methods: An overview and recent developments
Cell-based maximum-entropy approximants
Volume-averaged nodal projection method for nearly-incompressible elasticity using meshfree and bubble basis functions
Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants
An adaptive finite element/meshless coupled method based on local maximum entropy shape functions for linear and nonlinear problems
The \(hp\)-\(d\)-adaptive finite cell method for geometrically nonlinear problems of solid mechanics
A meshfree-enriched finite element method for compressible and near-incompressible elasticity
Second-order convex maximum entropy approximants with applications to high-order PDE
CutFEM: Discretizing geometry and partial differential equations
Kernel techniques: From machine learning to meshless methods
Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
On the optimum support size in meshfree methods: A variational adaptivity approach with maximum-entropy approximants
Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
Variationalh-adaption in finite deformation elasticity and plasticity
Construction of polygonal interpolants: a maximum entropy approach
Averaging technique for FE -- a posteriori error control in elasticity. I: Conforming FEM
Consistent and stable meshfree Galerkin methods using the virtual element decomposition

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