Editorials in wiss. Zeitschriften:
C. Heitzinger, M. Leumüller, G. Pammer, S. Rigger:
"Existence, Uniqueness, and a Comparison of Nonintrusive Methods for the Stochastic Nonlinear Poisson--Boltzmann Equation";
SIAM/ASA Journal on Uncertainty Quantification,
6
(2018),
3;
S. 1019
- 1042.
Kurzfassung englisch:
The stochastic nonlinear Poisson--Boltzmann equation describes the electrostatic potential in a random environment in the presence of free charges and has applications in many fields. We show the existence and uniqueness of the solution of this nonlinear model equation and investigate its regularity with respect to a random parameter. Three popular nonintrusive methods, a stochastic Galerkin method, a discrete projection method, and a collocation method, are presented for its numerical solution.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1137/17M1127375
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.