BETL

BETL is a C++ template library for the discretisation of boundary integral operators as they arise in various physical and engineering applications. Prominent examples are, e.g., electrostatic or thermal models as well as the scattering of acoustic and electromagnetic waves. While BETL currently implements the discretisation of 3-dimensional boundary integral operators via Galerkin schemes its design principles allow also for the incorporation of other discretisation schemes such as, e.g., the still popular collocation methods. Over the years this project has grown slightly bigger than it was originally expected. In its original form BETL was just intended to serve as set of methods with rather limited functionality for maintaining an existing industrial Boundary Element solver. Since then BETL has become a fully autonomous tool on which powerful Boundary Element applications can be build. BETL’s strength lies in its use of well-known design principles in conjunction with state of the art C++ language features. This ensures the fast development of robust, extendable, and reliable numerical schemes and implementations which are somehow related to the discretisation of boundary integral operators


References in zbMATH (referenced in 11 articles )

Showing results 1 to 11 of 11.
Sorted by year (citations)

  1. Timo Betcke; Matthew W. Scroggs: Bempp-cl: A fast Python based just-in-time compiling boundary element library (2021) not zbMATH
  2. Herrmann, Lukas; Kirchner, Kristin; Schwab, Christoph: Multilevel approximation of Gaussian random fields: fast simulation (2020)
  3. Hiptmair, Ralf; Urzúa-Torres, Carolina: Preconditioning the EFIE on screens (2020)
  4. Stevenson, Rob; van Venetië, Raymond: Uniform preconditioners for problems of negative order (2020)
  5. Herrmann, Lukas: Strong convergence analysis of iterative solvers for random operator equations (2019)
  6. Herrmann, Lukas; Lang, Annika; Schwab, Christoph: Numerical analysis of lognormal diffusions on the sphere (2018)
  7. Claeys, Xavier; Hiptmair, Ralf; Spindler, Elke: Second-kind boundary integral equations for electromagnetic scattering at composite objects (2017)
  8. Claeys, X.; Hiptmair, R.; Spindler, Elke: Second kind boundary integral equation for multi-subdomain diffusion problems (2017)
  9. Bantle, Markus; Funken, Stefan: Efficient and accurate implementation of (hp)-BEM for the Laplace operator in 2D (2015)
  10. Ganesh, M.; Hawkins, S. C.: An efficient (\mathcalO(N)) algorithm for computing (\mathcalO(N^2)) acoustic wave interactions in large (N)-obstacle three dimensional configurations (2015)
  11. Śmigaj, Wojciech; Betcke, Timo; Arridge, Simon; Phillips, Joel; Schweiger, Martin: Solving boundary integral problems with BEM++ (2015)


Further publications can be found at: http://www.sam.math.ethz.ch/betl/#publications_betl