Authors: Stolfo, Paolo Di
Rademacher, Andreas
Schröder, Andreas
Title: Dual weighted residual error estimation for the finite cell method
Language (ISO): en
Abstract: The paper presents a goal-oriented error control based on the dual weighted residual method (DWR) for the finite cell method (FCM), which is characterized by an enclosing domain covering the domain of the problem. The error identity derived by the DWR method allows for a combined treatment of the discretization and quadrature error introduced by the FCM. We present an adaptive strategy with the aim to balance these two error contributions. Its performance is demonstrated for some two-dimensional examples.
Subject Headings: Finite cell methods; Goal-oriented error estimation; Dual-weighted residual method
Issue Date: 2017-09
Appears in Collections:Ergebnisberichte des Instituts für Angewandte Mathematik

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