An immersed boundary fast meshfree integration methodology with consistent weight learning

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Algorithms for approximation of functions (65D15) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Effect of numerical integration on meshless methods
Backpropagation and stochastic gradient descent method
Immersed finite element method
Stable particle methods based on Lagrangian kernels
Locking-free stabilized conforming nodal integration for meshfree Mindlin--Reissner plate formulation
Imposing essential boundary conditions in mesh-free methods
Extended immersed boundary method using FEM and RKPM
A coordinate gradient descent method for nonsmooth separable minimization
Meshless methods: a review and computer implementation aspects
A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
Generalizing the finite element method: Diffuse approximation and diffuse elements
Numerical integration of the Galerkin weak form in meshfree methods
Meshless methods: An overview and recent developments
Nodal integration of the element-free Galerkin method
Reproducing kernel particle methods for large deformation analysis of nonlinear structures
An accuracy analysis of Galerkin meshfree methods accounting for numerical integration
A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves
A unified reproducing kernel gradient smoothing Galerkin meshfree approach to strain gradient elasticity
An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature
An immersed particle modeling technique for the three-dimensional large strain simulation of particulate-reinforced metal-matrix composites
Computational mechanics enhanced by deep learning
A momentum-consistent stabilization algorithm for Lagrangian particle methods in the thermo-mechanical friction drilling analysis
Flow patterns around heart valves: A numerical method
An efficient nesting sub-domain gradient smoothing integration algorithm with quadratic exactness for Galerkin meshfree methods
Second-order accurate derivatives and integration schemes for meshfree methods
An arbitrary order variationally consistent integration for Galerkin meshfree methods
Meshfree Particle Methods
IMMERSED BOUNDARY METHODS
A Hermite reproducing kernel approximation for thin-plate analysis with sub-domain stabilized conforming integration
Surfaces Generated by Moving Least Squares Methods
Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
Element‐free Galerkin methods
Building a Numerical Framework to Model Gas-Liquid-Solid Interactions Using Meshfree Interpolation Methods
Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
Reproducing kernel particle methods
Machine learning discovery of optimal quadrature rules for isogeometric analysis
A consistent projection integration for Galerkin meshfree methods
Learned Gaussian quadrature for enriched solid finite elements
Free vibration analysis of thin-walled folded structures employing Galerkin-based RKPM and stabilized nodal integration methods

This page was built for publication: An immersed boundary fast meshfree integration methodology with consistent weight learning