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Discrete numerical solution of the generalized boussinesq problem
Author(s) -
Gellert M.
Publication year - 1985
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.1620211202
Subject(s) - discretization , diagonal , mathematics , finite element method , inversion (geology) , mathematical analysis , mathematical optimization , geometry , geology , engineering , structural engineering , paleontology , structural basin
A family of stable algorithms for integration in time of the spatially discretized generalized Boussinesq equation is presented. In space, the finite element approximation is employed enabling arbitrary layout and variable physical properties. Furthermore, the proposed spatial–temporal discretization neither involves inversion of non‐diagonal matrices of large scale nor even their storage. The method is theoretically investigated and numerically tested. Comparison is made with known results.