A comparison of the finite element and boundary element methods for solving partial differential equations associated with engineering problems

Pleasants, Ann Mary (1986). A comparison of the finite element and boundary element methods for solving partial differential equations associated with engineering problems. MPhil thesis The Open University.

DOI: https://doi.org/10.21954/ou.ro.0000f928

Abstract

Two numerical methods, the finite element method and the boundary element method, have been compared by studying the elastic torsion problem for various shaped cross sections including ones where there are boundary singularities. A series of numerical experiments was performed illustrating the effects of grid refinement on convergence for each method and a comparison of the amount of work involved in using each method made.

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