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This work covers various advanced topics in boundary element methods (BEM) and their applications in engineering and physics. It discusses parallel processing in 3-D acoustic BEM and the implementation of BEM on transputer systems. The text addresses the direct evaluation of hypersingular integrals in 2D BEM and presents efficient algorithms for analyzing nonlinear gravity waves. It also explores modal analysis of solar arrays using boundary integral equations, alongside a panel method that employs numerical integration. Key topics include the existence and evaluation of derivatives of single layer potentials, the triangle-to-square transformation for finite-part integrals, and the numerical solution of oblique derivative problems in R3 using the Galerkin-Bubnov method. The integration of boundary integrals for plate bending is analyzed, as well as a comparison study of transient heat conduction via boundary collocation methods and finite element methods (FEM). The work further delves into the computation of plane stress fields through the covering domain method, Gauss-type quadrature methods for singular integral equations, and spline approximation methods for periodic elliptic pseudodifferential equations. Additionally, it examines blade-vortex interaction in rotary wings using an unsteady vortex-lattice method with free wake analysis and discusses numerical techniques for coupling stiffness matrices of FEM and BEM. The do
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Numerical techniques for boundary element methods, Wolfgang Hackbusch
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- 1992
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