CADSOL

Diffusion through the human skin -- an unexpected application of a PDE- black-box solver CADSOL (Cartesian Arbitrary Domain SOLver) is a black-box solver for the solution of arbitrary nonlinear systems of two-dimensional and three- dimensional elliptic and parabolic partial differential equations with arbitrary nonlinear boundary conditions on arbitrary domains with body- oriented grids. We will present an interesting CADSOL application arising in the current research of the pharmaceutical company Boehringer Ingelheim KG: Diffusion of drugs through the human skin, which has to be regarded in several layers.


References in zbMATH (referenced in 33 articles , 1 standard article )

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  1. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Gravitating solitons and black holes with synchronised hair in the four dimensional O(3) sigma-model (2019)
  2. Delsate, Terence; Herdeiro, Carlos; Radu, Eugen: Non-perturbative spinning black holes in dynamical Chern-Simons gravity (2018)
  3. Herdeiro, C.; Perapechka, I.; Radu, E.; Shnir, Ya.: Skyrmions around Kerr black holes and spinning BHs with Skyrme hair (2018)
  4. Hoffmann, Christian; Ioannidou, Theodora; Kahlen, Sarah; Kleihaus, Burkhard; Kunz, Jutta: Wormholes immersed in rotating matter (2018)
  5. Herdeiro, Carlos; Radu, Eugen; Rúnarsson, Helgi: Kerr black holes with Proca hair (2016)
  6. Kleihaus, Burkhard; Kunz, Jutta; Navarro-Lérida, Francisco: Rotating black holes with non-Abelian hair (2016)
  7. Herdeiro, Carlos; Kunz, Jutta; Radu, Eugen; Subagyo, Bintoro: Myers-Perry black holes with scalar hair and a mass gap: unequal spins (2015)
  8. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Black ringoid in seven dimensions (2015)
  9. Kichakova, Olga; Kunz, Jutta; Radu, Eugen: Spinning gauged boson stars in anti-de Sitter spacetime (2014)
  10. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Black rings in six dimensions (2013)
  11. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: (d\geq5) magnetized static, balanced black holes with (S^2\timesS^d-4) event horizon topology (2013)
  12. Brihaye, Yves; Delsate, Terence; Radu, Eugen: Einstein-Gauss-Bonnet black strings (2010)
  13. Brihaye, Yves; Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Rotating black holes with equal-magnitude angular momenta in d = 5 Einstein-Gauss-Bonnet theory (2010)
  14. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Generalized Weyl solutions in (d = 5) Einstein-Gauss-Bonnet theory: the static black ring (2010)
  15. Ibadov, R.; Kleihaus, B.; Kunz, J.; Neemann, U.: New branches of electrically charged Einstein-Yang-Mills-Higgs solutions (2008)
  16. Kleihaus, Burkhard; Kunz, Jutta; Navarro-Lérida, Francisco; Neemann, Ulrike: Stationary dyonic regular and black hole solutions (2008)
  17. Ioannidou, Theodora; Kleihaus, Burkhard; Kunz, Jutta: Spinning gravitating skyrmions (2006)
  18. Ioannidou, Theodora; Kleihaus, Burkhard; Kunz, Jutta: Platonic gravitating skyrmions (2006)
  19. Kleihaus, Burkhard; Kunz, Jutta; Myklevoll, Kari: Particle-like platonic solutions in scalar gravity (2006)
  20. Kunz, Jutta; Neemann, Ulrike; Shnir, Yasha: Transitions between vortex rings, and monopole-antimonopole chains (2006)

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