Report
Strict lower bounds with separation of sources of error in non-overlapping domain decomposition methods
| العنوان: | Strict lower bounds with separation of sources of error in non-overlapping domain decomposition methods |
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| المؤلفون: | Rey, Valentine, Gosselet, Pierre, Rey, Christian |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Physics - Classical Physics |
| الوصف: | This article deals with the computation of guaranteed lower bounds of the error in the framework of finite element (FE) and domain decomposition (DD) methods. In addition to a fully parallel computation, the proposed lower bounds separate the algebraic error (due to the use of a DD iterative solver) from the discretization error (due to the FE), which enables the steering of the iterative solver by the discretization error. These lower bounds are also used to improve the goal-oriented error estimation in a substructured context. Assessments on 2D static linear mechanic problems illustrate the relevance of the separation of sources of error and the lower bounds' independence from the substructuring. We also steer the iterative solver by an objective of precision on a quantity of interest. This strategy consists in a sequence of solvings and takes advantage of adaptive remeshing and recycling of search directions. Comment: International Journal for Numerical Methods in Engineering, Wiley, 2016 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1002/nme.5244 |
| URL الوصول: | http://arxiv.org/abs/1606.06662 |
| رقم الانضمام: | edsarx.1606.06662 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1002/nme.5244 |
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