An improved assembling algorithm in boundary elements with galerkin weighting applied to three-dimensional stokes flows
- Sarraf, Sofia Soledad
- Lopez, Ezequiel Jose
- Battaglia, Laura
- Rios Rodriguez, Gustavo Adolfo
- D'elia, Jorge
DOIAbstract
In the boundary element method (BEM), the Galerkin weighting technique allows to obtain numerical solutions of a boundary integral equation (BIE), giving the Galerkin boundary element method (GBEM). In three-dimensional (3D) spatial domains, the nested double surface integration of GBEM leads to a significantly larger computational time for assembling the linear system than with the standard collocation method. In practice, the computational time is roughly an order of magnitude larger, thus limiting the use of GBEM in 3D engineering problems. The standard approach for reducing the computational time of the linear system assembling is to skip integrations whenever possible. In this work, a modified assembling algorithm for the element matri...
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