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A constructive method for solving the displacement boundary‐value problem of elastostatics by use of global basis systems
Author(s) -
Freeden Willi,
Reuter Richard
Publication year - 1990
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670120203
Subject(s) - mathematics , constructive , basis (linear algebra) , isotropy , boundary value problem , mathematical analysis , geometry , computer science , process (computing) , operating system , physics , quantum mechanics
In this paper we are concerned with the three‐dimensional homogeneous isotropic elastostatic boundary‐value problem. Global basis vector fields are shown to be constructive structures for approximating the solution. The theoretical tool is a regularity condition developed from the classical integral equation approach. The paper ends with some reflections on the practical computability and numerical applicability.