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Best Approximation of a Linear Operation Equation
On the Identification of NonLinear Operators and its Application
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algorithm analysis analytical applied approach approximation Beskos body forces boundary conditions Boundary Element Method boundary integral equation boundary value boundary value problem Brebbia Brebbia C.A. calculated central crack coefficients collocation collocation method complex components computed considered constant contact problem convergence coordinates corner corresponding crack surface crack tip defined deflection deformation denotes derived differential equation dimensional discretized displacement vector distribution domain dynamic edge Edge-Function elastic elastoplastic elliptic Engineering evaluated example expressed field Figure finite element Finite Element Method formulation fundamental solution Galerkin geometry Green's function hole increment infinite interior isotropic linear load matrix Mechanics mesh nodal nodes nonlinear normal obtained orthotropic orthotropic material parameters plane plane strain plastic strain Poisson's ratio potential region shape functions shear shear stress shown singular solved source point spline stress function stress intensity factors symmetric tangential Theorem theory tion unknown variable vector zero