- Autor
- TitelBoundary element methods for variational inequalities
- Datei
- DOI10.1007/s00211-013-0554-4
- Erschienen inNumerische Mathematik
- Band126
- Erscheinungsjahr2014
- Heft1
- Seiten173-197
- LicenceCC-BY
- Download Statistik929
- Peer ReviewJa
- AbstractIn this paper we present a priori error estimates for the Galerkin solution of variational inequalities which are formulated in fractional Sobolev trace spaces, i.e. e H^(1/2) (Γ). In addition to error estimates in the energy norm we also provide, by in H applying the Aubin–Nitsche trick for variational inequalities, error estimates in lower order Sobolev spaces including L_2 (Γ). The resulting discrete variational inequality is solved by using a semi–smooth Newton method, which is equivalent to an active set strategy. A numerical example is given which confirms the theoretical results.
[420.4 KB]