Multigrid Methods for the Computation of Singular Solutions and Stress Intensity Factors Ii: Crack Singularities
نویسنده
چکیده
We consider the Poisson equation ?u = f with homogeneous Dirichlet boundary condition on a two-dimensional polygonal domain with cracks. Multigrid methods for the computation of singular solutions and stress intensity factors using piecewise linear functions are analyzed. The convergence rate for the stress intensity factors is
منابع مشابه
Multigrid methods for the computation of singular solutions and stress intensity factors I: Corner singularities
We consider the Poisson equation −∆u = f with homogeneous Dirichlet boundary condition on a two-dimensional polygonal domain Ω with re-entrant angles. A multigrid method for the computation of singular solutions and stress intensity factors using piecewise linear functions is analyzed. When f ∈ L2(Ω), the rate of convergence to the singular solution in the energy norm is shown to be O(h), and t...
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