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Desingularization in boundary element analysis of three‐dimensional Stokes flow
Author(s) -
Harmel Maximilian,
Rajski Michał P.,
Sauer Roger A.
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800479
Subject(s) - boundary element method , stokes flow , discretization , partial differential equation , flow (mathematics) , mathematics , finite element method , boundary (topology) , mathematical analysis , work (physics) , element (criminal law) , physics , geometry , thermodynamics , political science , law
The boundary element method (BEM) is able to solve partial differential equations without volumetric discretization and integration. Therefore, the BEM is able to reduce the compuational as well as the meshing effort compared to volumetric methods like classical finite elements. In this work, a conventional and a nonsingular BEM formulation for Stokes flow are presented and investigated in three‐dimensions, considering rotating spheres within a viscous fluid.