scholarly journals On quadrature error expansions. Part I

1987 ◽  
Vol 17 (1-2) ◽  
pp. 131-149 ◽  
Author(s):  
J.N. Lyness ◽  
Elise De Doncker-Kapenga
Keyword(s):  
2019 ◽  
Vol 27 (2) ◽  
pp. 101-122 ◽  
Author(s):  
Paolo Di Stolfo ◽  
Andreas Rademacher ◽  
Andreas Schröder

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 several two-dimensional examples.


2005 ◽  
Vol 46 (1) ◽  
pp. 73-85 ◽  
Author(s):  
Ilari Teikari ◽  
Jouko Vankka ◽  
Kari Halonen

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