A UNIFIED A POSTERIORI ERROR ANALYSIS FOR DISCONTINUOUS GALERKIN APPROXIMATIONS OF REACTIVE TRANSPORT EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: A posteriori error estimates Duality techniques Discontinuous Galerkin methods.
• 年，卷（期）: 2006,（3）
• 页码范围: 425-434
• 页数: 10页
• 语种: 英文

摘要

Four primal discontinuous Galerkin methods are applied to solve reactive transport problems, namely, Oden-Babu(s)ka-Baumann DG (OBB-DG), non-symmetric interior penalty Galerkin (NIPG), symmetric interior penalty Galerkin (SIPG), and incomplete interior penalty Galerkin (ⅡPG). A unified a posteriori residual-type error estimation is derived explicitly for these methods. From the computed solution and given data, explicit est-mators can be computed efficiently and directly, which can be used as error indicators foradaptation. Unlike in the reference [10], we obtain the error estimators in L2(L2) norm by using duality techniques instead of in L2(H1) norm.