A finite element method using singular functions for the Poisson equation: Corner singularities (Q2706413)

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A finite element method using singular functions for the Poisson equation: Corner singularities
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    19 March 2001
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    corner singularity
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    stress intensity factor
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    error bounds
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    finite element method
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    Poisson equation
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    reentrant corner
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    A finite element method using singular functions for the Poisson equation: Corner singularities (English)
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    A new finite element method is derived for the Poisson equation with homogeneous Dirichlet boundary data on a polygonal domain with one reentrant corner. A new extraction formula for the stress intensity factor is derived. Error bounds are proven.
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