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Treatment of material discontinuities in finite element computations. (English) Zbl 0602.73065

We consider finite element analysis of problems with discontinuous material coefficients. For applications in which the material interface crosses an element, we develop special elements with an embedded flux constraint at the interface. This new procedure is compared with the standard finite element method with interface coincident with the element boundary and with an existing method proposed by G. P. Steven [ibid. 18, 569-582 (1982; Zbl 0482.76016)]. Supporting numerical studies are conducted and rates of convergence for the solution and interface flux are examined. Some local superconvergence behaviour is observed.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)

Citations:

Zbl 0482.76016
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References:

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