Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis
作者： Rolf Rannacher , Jevgeni Vihharev
DOI: 10.1007/978-94-007-5288-7_6
关键词:
摘要: This article surveys recent developments in a combined posteriori analysis for the discretization and iteration errors finite element approximation of elliptic PDE systems. The underlying theoretical framework is that Dual Weighted Residual (DWR) method goal-oriented error control. Based on computable estimates algebraic can be adjusted to successive mesh adaptation process. performance proposed demonstrated several model situations including simple Poisson equation, Stokes equations fluid mechanics KKT system linear-quadratic optimal control problem. Furthermore, extensions are discussed certain classes nonlinear problems eigenvalue reaction-diffusion equations.
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