A wavelet multi-resolution enabled interpolation Galerkin method for two-dimensional solids
DOI10.1016/j.enganabound.2020.04.007zbMath1464.74403OpenAlexW3032723784MaRDI QIDQ785119
You He Zhou, Jizeng Wang, Xiao-Jing Liu, Gui-Rong Liu
Publication date: 5 August 2020
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.04.007
wavelet analysismeshfree methodcomplicated boundarieslocal multi-resolution enrichmenttargeted interpolation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Wave scattering in solid mechanics (74J20) Numerical and other methods in solid mechanics (74S99)
Related Items (5)
Cites Work
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- A wavelet method for solving a class of nonlinear boundary value problems
- Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth
- An adaptive multilevel wavelet collocation method for elliptic problems
- Solving diffusion equation using wavelet method
- The singular edge-based smoothed finite element method for stationary dynamic crack problems in 2D elastic solids
- Reproducing kernel element method. I: Theoretical formulation
- Reproducing kernel element method. III: Generalized enrichment and applications
- A three-dimensional hybrid smoothed finite element method (H-SFEM) for nonlinear solid mechanics problems
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- On boundary conditions in the element-free Galerkin method
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Moving least-square reproducing kernel method. II: Fourier analysis
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- Hybrid boundary point interpolation methods and their coupling with the element free Galerkin method.
- An ultra-accurate hybrid smoothed finite element method for piezoelectric problem
- On the generalized wavelet-Galerkin method
- A generalized element-free Galerkin method for Stokes problem
- A wavelet Galerkin method employing B-spline bases for solid mechanics problems without the use of a fictitious domain
- Geometrically nonlinear analysis of thin-shell structures based on an isogeometric-meshfree coupling approach
- A HAM-based wavelet approach for nonlinear ordinary differential equations
- Treatment of Dirichlet-type boundary conditions in the spline-based wavelet Galerkin method employing multiple point constraints
- A modified immersed smoothed FEM with local field reconstruction for fluid-structure interactions
- A wavelet multiresolution interpolation Galerkin method for targeted local solution enrichment
- A nodal integration technique for meshfree radial point interpolation method (NI-RPIM)
- Boundary meshfree methods based on the boundary point interpolation methods
- A singular edge-based smoothed finite element method (ES-FEM) for bimaterial interface cracks
- Hierarchical enrichment for bridging scales and mesh-free boundary conditions
- Smoothed Point Interpolation Methods
- An Overview on Meshfree Methods: For Computational Solid Mechanics
- Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
- Element‐free Galerkin methods
- A reproducing kernel method with nodal interpolation property
- Multiscale Galerkin method using interpolation wavelets for two-dimensional elliptic problems in general domains
- Application of essential boundary conditions in mesh-free methods: a corrected collocation method
- Meshfree Methods: A Comprehensive Review of Applications
- A point interpolation meshless method based on radial basis functions
- Reproducing kernel particle methods
- Adaptivity for structured meshfree particle methods in 2D and 3D
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