Tests of radial basis functions in the 3D DRM‐MD

DOI10.1002/cnm.794zbMath1083.65109OpenAlexW2142211696MaRDI QIDQ5717420

Viktor Popov, Bruno Natalini

Publication date: 13 January 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.794

zbMATH Keywords

consistencynumerical examplesboundary element methodradial basis functionsadvection-diffusion equationsPoisson equation3D potential problemsaugmented thin plate splinesdual reciprocity method-multi domain approach (DRM-MD)

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

Method of fundamental solutions for 3D elasticity with body forces by coupling compactly supported radial basis functions ⋮ Three-dimensional solution for acoustic and transport problems using the radial basis integral equation method ⋮ A dual reciprocity boundary element formulation using the fractional step method for the incompressible Navier-Stokes equations ⋮ DRM-MD approach for modeling laser-material interaction with axial symmetry ⋮ On the optimal implementation of the boundary element dual reciprocity method-multi-domain approach for 3D problems ⋮ An efficient implementation of the radial basis integral equation method ⋮ An efficient implementation of the radial basis integral equation method

Cites Work

• Unnamed Item
• A new approach to free vibration analysis using boundary elements
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• A new class of radial basis functions with compact support