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An adaptive boundary element method
Author(s) -
Han P. S.,
Olson M. D.
Publication year - 1987
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620240610
Subject(s) - gravitational singularity , singularity , boundary element method , domain (mathematical analysis) , mathematics , boundary (topology) , convergence (economics) , mathematical analysis , laplace's equation , laplace transform , boundary value problem , finite element method , engineering , structural engineering , economics , economic growth
This paper explores the concept of moving singularities in the boundary element analysis. The singularities are placed on an auxiliary boundary which is located outside the domain of the problem and are allowed to move as part of the solution process. This results in a highly adaptive but non‐linear method. Examples involving the two‐ and three‐dimensional Laplace's equations are solved. Excellent agreement with exact solutions is obtained using a minimal number of singularities. Also, the trajectories of the singularity motion are plotted. The behaviour seen here is that, as the solution approaches convergence, the singularities exhibit a general trend of moving away from the domain of the problem.