作者: Frédérick Gagnon , Donald Ziegler , Mario Fafard
DOI: 10.1007/S10800-014-0662-6
关键词: Lagrange multiplier 、 Balance equation 、 Nonlinear system 、 Applied mathematics 、 Finite element method 、 Mass balance 、 Mathematics 、 Variational method 、 Charge conservation 、 Boundary value problem
摘要: This paper deals with ionic species migration based on classical mass balance equations in conjunction a charge equation and the electroneutrality condition. Two new methods are proposed to apply condition, avoiding elimination of one conservation chemical permitting explicitly boundary conditions all species. The first method is variational principles second Lagrange multiplier. It shown that analytically equivalent more standard which eliminated without any other consideration. complex implement than multiplier method. were applied multi-ionic problem together capacitive effects. Different kinds applied: Neumann, Dirichlet nonlinear case Butler–Volmer kinetics. All gave same results for non-complex problems. In problems including equilibrium between each species, it was found investigations necessary even conventional methods.