Stress Intensity Factors and Improved Convergence Estimates at a Corner
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Publication:3759888
DOI10.1137/0724026zbMath0622.65112OpenAlexW2068695959MaRDI QIDQ3759888
Publication date: 1987
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0724026
Dirichlet problemseries expansionharmonic functioncornersNeumann problemstress intensitycoefficient computation
Boundary value problems for higher-order elliptic equations (35J40) Series solutions to PDEs (35C10) Applications to the sciences (65Z05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)
Related Items (7)
A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains ⋮ An efficient method for subtracting off singularities at corners for Laplace's equation ⋮ A method of harmonic extension for computing the generalized stress intensity factors for Laplace's equation with singularities ⋮ Analytical velocity potentials in cells with a rigid spherical wall ⋮ Predictor-corrector \(p\)- and \(h p\)-versions of the finite element method for Poisson's equation in polygonal domains ⋮ Singularities and treatments of elliptic boundary value problems. ⋮ One-block method for computing the generalized stress intensity factors for Laplace's equation on a square with a slit and on an L-shaped domain
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