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Numerical integration of linear boundary value problems in solid mechanics by segmentation method
Author(s) -
Kant Tarun,
Ramesh C. K.
Publication year - 1981
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.1620170808
Subject(s) - fortran , boundary value problem , ordinary differential equation , solid mechanics , mathematics , numerical analysis , subroutine , computer science , boundary element method , field (mathematics) , boundary (topology) , differential equation , mathematical analysis , finite element method , engineering , physics , structural engineering , thermodynamics , operating system , pure mathematics
Numerical integration of the system of governing equations which define a boundary value problem written down in the form of a coupled system of first‐order ordinary differential equations is shown to be a powerful technique. After presenting the basic approach the paper critically examines the numerical schemes available for situations when the boundary value problem so defined has boundary layer characteristics. One such method which is originally due to Goldberg, Setlur and Alspaugh 3 is described in detail, with documentation in the form of a flow diagram and a FORTRAN listing of a working subroutine. The method is shown to be computationally efficient and reliable for the solution of a class of problems in the field of solid mechanics. Potential use of the method for the solution of magnetostatic problems is indicated.