An Asymptotic Preserving Method for Linear Systems of Balance Laws Based on Galerkin's Method

摘要

We apply the concept of asymptotic preserving schemes (SIAM J Sci Comput 21:441-454, 1999) to the linearized p-system and discretize the resulting elliptic equation using standard continuous Finite Elements instead of Finite Differences. The fully discrete method is analyzed with respect to consistency, and we compare it numerically with more traditional methods such as Implicit Euler's method.