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Numerical Aspects in Potential Problems
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analytical solution applied approach axis body forces boundary conditions boundary element formulation boundary element method boundary nodes boundary variables Brebbia C. A. Brebbia classical boundary element coefficients component computed constant elements conventional boundary elements convergence corresponding defined direct boundary element displacement vector displacements and tractions domain ft domain integrals Elastostatics element which includes Error evaluated example expression field point finite element method fundamental solution Galerkin Gaussian quadrature geometry homogeneous coordinate hybrid-displacement includes the source independent field variables inside the domain Integral Equation internal points interpolation functions Lagrange multipliers Laplace's equation linear matrix F mesh multi-field normal derivative normal flux notation obtained Poisson's Poisson's equation possible to write potential problems potential theory prescribed tractions presented quadratic elements rigid body shown in figure singular integrals solid mechanics source point stationary conditions stiffness matrix submatrices symmetry tion variational principles zero