Finite Element Methods for Reaction-Diffusion Problems
摘要
An essential conclusion of the analysis presented in Chap. 6 is that the requirements on the grids imposed for the satisfaction of DMPs for the Galerkin finite element discretizations of diffusion problems are only feasible for \(P_1\) finite element methods. In fact, it is shown that for other alternatives the restrictions are almost impossible to satisfy, especially in three space dimensions.