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docs/benchmarks/linear elasticity/plate-with-hole.md

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\end{aligned}
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$$
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* What is $p$
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* What are $E,\nu$
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* Cartesian coordiantes
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* Neumann BCs
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* write Dirichlet with set
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In order to transform this into a practical benchmark, we consider a rectangular subdomain
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of the infinite plate around the hole. The boundary conditions of the subdomain are determined
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from the analytical solution. The example is further reduced by only simulating one quarter
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of the rectangular domain and assuming symmetry conditions at the edges. Let $\Omega =[0,l]^2 \setminus\{(x,y) | \sqrt{x^2+y^2}<a \}$ be the domain of the benchmark example, then the PDE is given by
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of the rectangular domain and assuming symmetry conditions at the edges. Let $\Omega =[0,l]^2 \setminus \left \lbrace (x,y) \mid \sqrt{x^2+y^2}<a \right \rbrace$ be the domain of the benchmark example, then the PDE is given by
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$$
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\begin{aligned}

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