The direct interpolation boundary element method applied to smoothly inhomogeneous Laplace's problems

DOI10.1016/J.ENGANABOUND.2019.04.014zbMath1464.65227OpenAlexW2943702568WikidataQ127974815 ScholiaQ127974815MaRDI QIDQ2420349

Hercules de Melo Barcelos, Carlos Friedrich Loeffler

Publication date: 6 June 2019

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2019.04.014

zbMATH Keywords

boundary element methoddirect interpolation boundary element methodnon homogeneous Laplace's problems

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

Boundary element procedure for computation of internal directional derivatives in homogeneous Laplace's problems solved by the finite element method ⋮ The direct interpolation boundary element method and the domain superposition technique applied to piecewise Helmholtz's problems with internal heterogeneity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 3D multidomain BEM for a Poisson equation
• A highly efficient multidomain BEM for multimillion subdomains
• A new approach to free vibration analysis using boundary elements
• Integrated multiquadric radial basis function approximation methods
• Biot's consolidation theory -- application of BEM with time independent fundamental solutions for poroelastic saturated media.
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• Direct use of radial basis interpolation functions for modelling source terms with the boundary element method
• Solving Helmholtz problems with the boundary element method using direct radial basis function interpolation
• A BEM based methodology to solve inverse problems considering fictitious background media
• Sub-regions without subdomain partition with boundary elements
• A regularization scheme applied to the direct interpolation boundary element technique with radial basis functions for solving eigenvalue problem
• Subdomain BEM formulations for the solution of bio-heat problems in biological tissue with melanoma lesions
• Performance of BEM superposition technique for solving sectorially heterogeneous Laplace's problems with non-regular geometry
• Boundary-only element solutions of 2D and 3D nonlinear and nonhomogeneous elastic problems
• Transformation of domain integrals to boundary integrals in BEM analysis of shear deformable plate bending problems
• A new method for transformation of domain integrals to boundary integrals in boundary element method
• Radial Basis Functions
• Quasi-dual reciprocity boundary-element method for incompressible flow: Application to the diffusive-advective equation
• New concepts in meshless methods
• A point interpolation meshless method based on radial basis functions

This page was built for publication: The direct interpolation boundary element method applied to smoothly inhomogeneous Laplace's problems