Adaptive cross-approximation applied to the solution of system of equations and post-processing for 3D elastostatic problems using the boundary element method

DOI10.1016/j.enganabound.2009.10.016zbMath1244.74172OpenAlexW2021012307MaRDI QIDQ441622

Frantz Maerten

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.10.016

zbMATH Keywords

geomechanics3D boundary element methodadaptive cross-approximationhierarchical matrixmulti-core parallelization

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15)

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Numerical simulation of fracking in shale rocks: current state and future approaches ⋮ Acceleration of a BEM based solution of the velocity-vorticity formulation of the Navier-Stokes equations by the cross approximation method ⋮ A fast elasto-plastic formulation with hierarchical matrices and the boundary element method ⋮ Solving 3D boundary element problems using constrained iterative approach ⋮ A new fast direct solver for the boundary element method ⋮ An accelerated symmetric time-domain boundary element formulation for elasticity ⋮ Acoustic topology optimization of porous material distribution based on an adjoint variable FMBEM sensitivity analysis ⋮ Fast boundary-domain integral method for heat transfer simulations ⋮ A gradient free integral equation for diffusion-convection equation with variable coefficient and velocity ⋮ Application of hierarchical matrices to boundary element methods for elastodynamics based on Green's functions for a horizontally layered halfspace

Uses Software

• OpenCL
• Poly3d

Cites Work

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