Titlebook: A First Course in Boundary Element Methods; Steven L. Crouch,Sofia G. Mogilevskaya Book 2024 The Editor(s) (if applicable) and The Author(

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Growing Calcite and Other Carbonatesespecially important result is Green’s representation formula, which gives the potential at a point . inside a region ., but not on its boundary ., in terms of single and double layer potentials with density functions equal to (a) the normal derivative of the potential on . and (b) the potential on

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https://doi.org/10.1007/978-1-4757-0471-6at a point inside a region ., but not on its boundary ., in terms of single and double layer potentials with density functions equal to (a) the normal derivative of the potential on . and (b) the potential on the same boundary. For two dimensions, this formula can be discretized by dividing the boun

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G. D. Ilyushin,L. N. Dem’yanetsngth simple source . along a straight line segment in an infinite homogeneous region. Now, however, the source is a stress discontinuity . with components . and ., and superposition of . such sources along a boundary . leads to a system of 2. algebraic equations in 2. unknowns. Details are provided

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https://doi.org/10.1007/978-1-4613-1141-6t strength dipole source . along a straight line segment in an infinite homogeneous region. Now, however, the source is a displacement discontinuity . with components . and ., and superposition of . such sources along a boundary . leads to a system of 2. algebraic equations in 2. unknowns. Details a

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G. D. Ilyushin,L. N. Dem’yanetsgion ., but not on its boundary ., in terms of the counterparts in elasticity for the single and double layer potentials in potential theory with density functions equal to (a) the tractions on . and (b) the displacements on the same boundary. For two dimensions, this formula can be discretized by d

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Yu. I. Gorina,G. A. Kalyuzhnayastic half-planes. These solutions can be used to generalize the boundary element methods developed previously for an infinite region to the case of a semi-infinite region with a traction-free boundary. It is also shown how the solution for a concentrated force in an isotropic half-plane can be exten

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