Math 2.0

Numerical analysis Boundary value problems and finite elements Concept

Extended finite element method

Summary

The extended finite element method, or XFEM, enriches a standard finite element space with extra functions. These carry known features of the solution, such as a jump across a crack. The enrichment is built with the partition of unity formed by the usual shape functions. So cracks, interfaces and inclusions can cut through elements, and the mesh does not need to follow them. It was developed in fracture mechanics by Ted Belytschko and coworkers, and is often combined with the level-set method to describe the moving crack. See the definition.

Further reading

  1. Web https://en.wikipedia.org/wiki/Extended_finite_element_method
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TagMWB6Y5Q4VK
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Kindconcept
WritingW0 stub
MSC65N30, 74S05, 74R10
SpecializesFinite element method
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