Boundary Methods

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Boundary Methods: Elements, Contours, and Nodes presents the results of cutting-edge research in boundary-based mesh-free methods. Such methods combine the dimensionality advantage of the boundary element method with the ease of discretization of mesh-free methods, both of which for some problems hold distinct advantages over the finite element method. In addition to numerical solutions of boundary value problems in potential theory and linear elasticity, the authors, who are the primary developers of these methods, also discuss topics such as shape sensitivities, shape optimization, and adaptive meshing. Numerical results for selected problems appear throughout the book, as do extensive references.