Complexity and accuracy of the grid-based direct-volume integration BEM for quasilinear problems

DOI10.1016/j.enganabound.2014.10.003zbMath1403.65193OpenAlexW2094721666MaRDI QIDQ1654586

Yani Deng, Wenjing Ye, Leonard J. Gray

Publication date: 9 August 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.2014.10.003

zbMATH Keywords

quasilinear problemboundary element methodgrid-based direct-volume integrationprecorrected-FFT technique

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

An efficient grid-based direct-volume integration BEM for 3D geometrically nonlinear elasticity ⋮ Grid-based volume integration for elasticity

Uses Software

• Fastcap

Cites Work

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• A new fast multipole boundary element method for solving 2-D Stokes flow problems based on a dual BIE formulation
• On the convergence of the panel method for potential problems with non-smooth domains
• A new approach to free vibration analysis using boundary elements
• A fast multipole boundary element method for 2D multi-domain elastostatic problems based on a dual BIE formulation
• The dual reciprocity boundary element formulation for nonlinear diffusion problems
• The radial integration method for evaluation of domain integrals with boundary-only discretization.
• Adaptive low-rank approximation of collocation matrices
• A fast solver for the Stokes equations with distributed forces in complex geometries.
• The evaluation of domain integrals in complex multiply-connected three-dimensional geometries for boundary element methods
• A fast Poisson solver for complex geometries
• Fast BEM solution for coupled 3D electrostatic and linear elastic problems
• A grid-based integral approach for quasilinear problems
• A comparison of domain integral evaluation techniques for boundary element methods
• Cell-based volume integration for boundary integral analysis
• A fast integral approach for drag force calculation due to oscillatory slip stokes flows
• Boundary element analysis in thermoelasticity with and without internal cells
• An Introduction to Numerical Analysis
• An accelerated surface discretization-based BEM approach for non-homogeneous linear problems in 3-D complex domains
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications