A NURBS-enhanced improved interpolating boundary element-free method for 2D potential problems and accelerated by fast multipole method
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Publication:1634632
DOI10.1016/j.enganabound.2018.10.008zbMath1404.74190OpenAlexW2899014566MaRDI QIDQ1634632
Wei Zhou, Qiao Wang, Xiaolin Chang, Biao Liu, Gang Ma, Yonggang Cheng
Publication date: 18 December 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.10.008
fast multipole methodnon-uniform rational B-splineimproved interpolating boundary element-free methodimproved interpolating moving least-square method
Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)
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Cites Work
- Unnamed Item
- Meshfree analysis with the aid of NURBS boundary
- A fast multipole hybrid boundary node method for composite materials
- A two-dimensional isogeometric boundary element method for elastostatic analysis
- Boundary node method based on parametric space for 2D elasticity
- Isogeometric boundary element analysis using unstructured T-splines
- Meshless Galerkin algorithms for boundary integral equations with moving least square approximations
- A consistently coupled isogeometric-meshfree method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- The fast multipole boundary element method for potential problems: a tutorial
- A Galerkin boundary node method and its convergence analysis
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- A boundary point interpolation method for stress analysis of solids.
- \(hp\)-meshless cloud method
- A new model for the analysis of reinforced concrete members with a coupled HdBNM/FEM
- Simulation of elastic wave propagation in layered materials by the method of fundamental solutions
- An isogeometric enriched quasi-convex meshfree formulation with application to material interface modeling
- The multi-domain FMM-IBEM to model elastic wave scattering by three-dimensional inclusions in infinite domain
- A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction
- A new type of high-accuracy BEM and local stress analysis of real beam, plate and shell structures
- An indirect boundary element method to model the 3-D scattering of elastic waves in a fluid-saturated poroelastic half-space
- A fast multipole method accelerated adaptive background cell-based domain integration method for evaluation of domain integrals in 3D boundary element method
- The CPCT based CBIE and HBIE for potential problems in three dimensions
- The combination of the boundary element method and the numerical manifold method for potential problems
- Line integration method for treatment of domain integrals in 3D boundary element method for potential and elasticity problems
- A new implementation of BEM by an expanding element interpolation method
- NURBS-enhanced boundary element method based on independent geometry and field approximation for 2D potential problems
- Expanding element interpolation method for analysis of thin-walled structures
- A new singular element for evaluating stress intensity factors of V-shaped notches under mixed-mode load
- A line integration method for the treatment of 3D domain integrals and accelerated by the fast multipole method in the BEM
- Shape variable radial basis function and its application in dual reciprocity boundary face method
- Fast multipole singular boundary method for Stokes flow problems
- Meshless projection iterative analysis of Signorini problems using a boundary element-free method
- An interpolating boundary element-free method for three-dimensional potential problems
- The boundary element method with a fast multipole accelerated integration technique for 3D elastostatic problems with arbitrary body forces
- Analysis of the complex moving least squares approximation and the associated element-free Galerkin method
- A double-layer interpolation method for implementation of BEM analysis of problems in potential theory
- NURBS-enhanced maximum-entropy schemes
- \textit{Maximum-entropy} methods for time-harmonic acoustics
- Reproducing kernel formulation of B-spline and NURBS basis functions: a meshfree local refinement strategy for isogeometric analysis
- Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
- Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants
- Some benchmark problems and basic ideas on the accuracy of boundary element analysis
- Distance transformation for the numerical evaluation of nearly singular integrals on triangular elements
- A Kriging interpolation-based boundary face method for 3D potential problems
- Thermal analysis of 3D composites by a new fast multipole hybrid boundary node method
- A dual reciprocity boundary face method for 3D non-homogeneous elasticity problems
- Isogeometric analysis in BIE for 3-D potential problem
- The meshless Galerkin boundary node method for Stokes problems in three dimensions
- General distance transformation for the numericalevaluation of nearly singular integrals in BEM
- The Sinh Transformation for Curved Elements Using theGeneral Distance Function
- AN INTERPOLATING BOUNDARY ELEMENT-FREE METHOD WITH NONSINGULAR WEIGHT FUNCTION FOR TWO-DIMENSIONAL POTENTIAL PROBLEMS
- The Hybrid Boundary Node Method Accelerated by Fast Multipole Expansion Technique for 3D Elasticity
- A new fast multipole boundary element method for solving large-scale two-dimensional elastostatic problems
- Boundary element-free method (BEFM) and its application to two-dimensional elasticity problems
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- NURBS-enhanced finite element method (NEFEM)
- A boundary face method for potential problems in three dimensions
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
- Smoothed particle hydrodynamics: theory and application to non-spherical stars
- Surfaces Generated by Moving Least Squares Methods
- Element‐free Galerkin methods
- Isogeometric Analysis
- Reproducing kernel particle methods
