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 26 articles , 1 standard article )

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  1. Herdeiro, Carlos; Radu, Eugen; Rúnarsson, Helgi: Kerr black holes with Proca hair (2016)
  2. Kleihaus, Burkhard; Kunz, Jutta; Navarro-Lérida, Francisco: Rotating black holes with non-Abelian hair (2016)
  3. Herdeiro, Carlos; Kunz, Jutta; Radu, Eugen; Subagyo, Bintoro: Myers-Perry black holes with scalar hair and a mass gap: unequal spins (2015)
  4. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: $d\geq 5$ magnetized static, balanced black holes with $S^2\times S^d-4$ event horizon topology (2013)
  5. Brihaye, Yves; Delsate, Terence; Radu, Eugen: Einstein-Gauss-Bonnet black strings (2010)
  6. Brihaye, Yves; Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Rotating black holes with equal-magnitude angular momenta in d = 5 Einstein-Gauss-Bonnet theory (2010)
  7. Kleihaus, Burkhard; Kunz, Jutta; Radu, Eugen: Generalized Weyl solutions in $d = 5$ Einstein-Gauss-Bonnet theory: the static black ring (2010)
  8. Ibadov, R.; Kleihaus, B.; Kunz, J.; Neemann, U.: New branches of electrically charged Einstein-Yang-Mills-Higgs solutions (2008)
  9. Kleihaus, Burkhard; Kunz, Jutta; Navarro-Lérida, Francisco; Neemann, Ulrike: Stationary dyonic regular and black hole solutions (2008)
  10. Ioannidou, Theodora; Kleihaus, Burkhard; Kunz, Jutta: Platonic gravitating skyrmions (2006)
  11. Ioannidou, Theodora; Kleihaus, Burkhard; Kunz, Jutta: Spinning gravitating skyrmions (2006)
  12. Kleihaus, Burkhard; Kunz, Jutta; Myklevoll, Kari: Particle-like platonic solutions in scalar gravity (2006)
  13. Kunz, Jutta; Neemann, Ulrike; Shnir, Yasha: Transitions between vortex rings, and monopole-antimonopole chains (2006)
  14. Ibadov, Rustam; Kleihaus, Burkhard; Kunz, Jutta; Shnir, Yasha: New regular solutions with axial symmetry in Einstein-Yang-Mills theory (2005)
  15. Ibadov, Rustam; Kleihaus, Burkhard; Kunz, Jutta; Wirschins, Marion: New black hole solutions with axial symmetry in Einstein-Yang-Mills theory (2005)
  16. Kleihaus, Burkhard; Kunz, Jutta; Neemann, Ulrike: Gravitating stationary dyons and rotating vortex rings (2005)
  17. Kunz, Jutta; Navarro-Lérida, Francisco; Petersen, Anna Katinka: Five-dimensional charged rotating black holes (2005)
  18. Ioannidou, Theodora; Kleihaus, Burkhard; Zakrzewski, Wojtek: Axially symmetric $\mathrmSU(3)$ gravitating skyrmions (2004)
  19. Kleihaus, Burkhard; Kunz, Jutta; Myklevoll, Kari: Platonic sphalerons (2004)
  20. Kleihaus, Burkhard; Kunz, Jutta; Navarro-Lérida, Francisco: Rotating black holes with monopole hair (2004)

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