The treatment of the locking phenomenon for a general class of variational inequalities
| Autor: | Leila Slimane, Yves Renard |
|---|---|
| Přispěvatelé: | Université de Moncton, Mathématiques pour l'Industrie et la Physique (MIP), Université Toulouse 1 Capitole (UT1), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2004 |
| Předmět: |
Nonconforming methods
Class (set theory) Applied Mathematics Uniform convergence Numerical analysis Mathematical analysis 010103 numerical & computational mathematics Variational inequalities 01 natural sciences 010101 applied mathematics Numerical locking Signorini problems Computational Mathematics Stiff transmission Numerical approximation Phenomenon Variational inequality 0101 mathematics Signorini problem [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] Mathematics |
| Zdroj: | ResearcherID Journal of Computational and Applied Mathematics Journal of Computational and Applied Mathematics, Elsevier, 2004, 170, pp.121-143. ⟨10.1016/j.cam.2003.12.044⟩ Journal of Computational and Applied Mathematics, 2004, 170, pp.121-143. ⟨10.1016/j.cam.2003.12.044⟩ |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2003.12.044 |
| Popis: | International audience; We present the analysis of a class of variational inequalities depending on a small nonnegative parameter in a singular way, for which direct numerical approximation yield a numerical locking phenomenon. It consists in extending some robust approaches to variational inequalities, mainly, conforming and nonconforming methods. We give general sufficient conditions on the discrete problem insuring a uniform convergence relatively to the small parameter, and consequently avoiding numerical locking. |
| Databáze: | OpenAIRE |
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