A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials
From MaRDI portal
Publication:6084500
DOI10.1016/j.cma.2023.116363arXiv2304.06150MaRDI QIDQ6084500
Jiun-Shyan Chen, Ryan T. Schlinkman, Frank N. Beckwith, Stacy M. Nelson, Jonghyuk Baek
Publication date: 6 November 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.06150
heterogeneous materialsreproducing kernel particle methodquasi-conformingquadtree subdivisionmeshfree modelingembedded discretization
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- The finite cell method: a review in the context of higher-order structural analysis of CAD and image-based geometric models
- Hierarchical interface-enriched finite element method: an automated technique for mesh-independent simulations
- Fictitious domain finite element methods using cut elements. II: A stabilized Nitsche method
- A robust Nitsche's formulation for interface problems
- Immersed finite element method
- An implicit gradient model by a reproducing kernel strain regularization in strain localization problems
- Interpolation functions in the immersed boundary and finite element methods
- Residual-free bubbles for embedded Dirichlet problems
- The finite cell method for three-dimensional problems of solid mechanics
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- The variational multiscale method -- a paradigm for computational mechanics
- Numerical integration of the Galerkin weak form in meshfree methods
- Meshless methods: An overview and recent developments
- Reproducing kernel particle methods for large deformation analysis of nonlinear structures
- Element-free Galerkin method: Convergence of the continuous and discontinuous shape functions
- A distributed Lagrange multiplier/fictious domain method for the simulation of flow around moving rigid bodies: Application to particulate flow
- A new formulation for air-blast fluid-structure interaction using an immersed approach. I: Basic methodology and FEM-based simulations
- A new formulation for air-blast fluid-structure interaction using an immersed approach. II: Coupling of IGA and meshfree discretizations
- An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
- An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
- A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary
- The aggregated unfitted finite element method for elliptic problems
- The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
- The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
- Linking ghost penalty and aggregated unfitted methods
- A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves
- The high-order shifted boundary method and its analysis
- An optimally convergent higher-order finite element coupling method for interface and domain decomposition problems
- High-order gradients with the shifted boundary method: an embedded enriched mixed formulation for elliptic PDEs
- Consistent immersed volumetric Nitsche methods for composite analysis
- A variational multiscale immersed meshfree method for heterogeneous materials
- An unfitted interface penalty finite element method for elliptic interface problems
- A high order HDG method for curved-interface problems via approximations from straight triangulations
- Modified immersed finite element method for fully-coupled fluid-structure interactions
- A cut finite element method for a Stokes interface problem
- Flow patterns around heart valves: A numerical method
- The finite element method with Lagrangian multipliers
- CutFEM based on extended finite element spaces
- An interface-enriched generalized FEM for problems with discontinuous gradient fields
- A gradient reproducing kernel collocation method for boundary value problems
- An arbitrary order variationally consistent integration for Galerkin meshfree methods
- CutFEM: Discretizing geometry and partial differential equations
- A robust Nitsche's formulation for interface problems with spline-based finite elements
- An accelerated, convergent, and stable nodal integration in Galerkin meshfree methods for linear and nonlinear mechanics
- A Discontinuous Galerkin Meshfree Modeling of Material Interface
- Immersed Methods for Fluid–Structure Interaction
- The immersed boundary method
- A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
- Meshfree and finite element nodal integration methods
- Element‐free Galerkin methods
- Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem
- Isogeometric Analysis
- Reproducing kernel particle methods
- Mixed Finite Element Methods and Applications
- Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries
- NUMERICAL STABILITY OF THE FINITE ELEMENT IMMERSED BOUNDARY METHOD
- Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
- Continuous meshless approximations for nonconvex bodies by diffraction and transparency
This page was built for publication: A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials