An efficient and accurate implementation of the localized regular dual reciprocity method

DOI10.1016/j.camwa.2015.03.026zbMath1443.65400OpenAlexW2028917553MaRDI QIDQ2006149

Yanyan Li

Publication date: 8 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.03.026

zbMATH Keywords

RBFmeshless methodDRM

Mathematics Subject Classification ID

Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (4)

On the analysis and numerics of united and segregated boundary-domain integral equation systems in 2D ⋮ PDE centres enhancement in the localized regular dual reciprocity method ⋮ A note on the use of the companion solution (Dirichlet Green's function) on meshless boundary element methods ⋮ A stable computation on local boundary-domain integral method for elliptic PDEs

Cites Work

• Unnamed Item
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• A meshless solution to two-dimensional convection-diffusion problems
• A simplified approach for imposing the boundary conditions in the local boundary integral equation method
• Three-dimensional solution for acoustic and transport problems using the radial basis integral equation method
• Domain decomposition boundary element method with overlapping sub-domains
• Some observations on weighted GMRES
• Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
• A local BIEM for analysis of transient heat conduction with nonlinear source terms in FGMs
• The role of the multiquadric shape parameters in solving elliptic partial differential equations
• Improved accuracy of multiquadric interpolation using variable shape parameters
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• Applications of the local boundary integral equation technique to potential problems
• Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
• The radial basis integral equation method for solving the Helmholtz equation
• Scattered node compact finite difference-type formulas generated from radial basis functions
• A New and Simple Meshless LBIE-RBF Numerical Scheme in Linear Elasticity
• Improving Volume Element Methods by Meshless Radial Basis Function Techniques
• Iterative solution schemes for quadratic DRM-MD
• A convergence analysis of the performance of the DRM-MD boundary integral approach
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• The green element method
• An efficient implementation of the radial basis integral equation method

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