A posteriori estimation and adaptive control of the pollution error in theh-version of the finite element method Academic Article

abstract

• In References 1 and 2 we showed that the error in the finite‐element solution has two parts, the local error and the pollution error, and we studied the effect of the pollution error on the quality of the local error‐indicators and the quality of the derivatives recovered by local post‐processing. Here we show that it is possible to construct a posteriori estimates of the pollution error in any patch of elements by employing the local error‐indicators over the mesh outside the patch. We also give an algorithm for the adaptive control of the pollution error in any patch of elements of interest. Copyright © 1995 John Wiley & Sons, Ltd

authors

• Strouboulis, Theofanis

published proceedings

• International Journal for Numerical Methods in Engineering

author list (cited authors)

• Babuška, I., Strouboulis, T., Upadhyay, C. S., & Gangaraj, S. K.

citation count

• 96

complete list of authors

• Babuška, I||Strouboulis, T||Upadhyay, CS||Gangaraj, SK

publication date

• December 1995

publisher

• Wiley  Publisher

published in

• International Journal for Numerical Methods in Engineering  Journal

keywords

• A Posteriori Error Estimation
• Finite-element Method
• Pollution Error

Digital Object Identifier (DOI)

• 10.1002/nme.1620382408

start page

• 4207

end page

• 4235

volume

• 38

issue

• 24