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Stephan, Ernst P.; Wendland, Wolfgang L.

An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems. (English) Zbl 0522.73083

Appl. Anal. 18, 183-219 (1985).
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Cited in 33 Documents

MSC:

74R05 Brittle damage
65R20 Numerical methods for integral equations
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
45B05 Fredholm integral equations
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
31A25 Boundary value and inverse problems for harmonic functions in two dimensions
49M15 Newton-type methods
74S30 Other numerical methods in solid mechanics (MSC2010)

Keywords:

boundary value problem exterior to an arc; equation of first kind; Mellin transform; boundary element method; Helmholtz and Laplacian Dirichlet screen; jump of normal derivative across screen or crack curve; local finite energy; equivalence of integral equations and original boundary value problem; pseudodifferential operators; existence; uniqueness; regularity results; behaviour near screen or crack tips; Galerkin scheme; high quasi-optimal convergence rates; special singular elements; regular splines; test and trial functions
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References:

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