Publication: BEM with linear complexity for the classical boundary integral operators
BEM with linear complexity for the classical boundary integral operators
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Börm, S., & Sauter, S. A. (2005). BEM with linear complexity for the classical boundary integral operators. Mathematics of Computation, 74(251), 1139-1177 (electronic). https://doi.org/10.1090/S0025-5718-04-01733-8
Abstract
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Alternative representations of boundary integral operators corresponding to elliptic boundary value problems are developed as a starting point for numerical approximations as, e.g., Galerkin boundary elements including numerical quadrature and panel-clustering. These representations have the advantage that the integrands of the integral operators have a reduced singular behaviour allowing one to choose the order of the numerical approximations much lower than for the classical formulations. Low-order discretisations for the single lay
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- Börm, S
- Sauter, Stefan A
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Börm, S., & Sauter, S. A. (2005). BEM with linear complexity for the classical boundary integral operators. Mathematics of Computation, 74(251), 1139-1177 (electronic). https://doi.org/10.1090/S0025-5718-04-01733-8
