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On a FEM--BEM formulation for an exterior quasilinear problem in the plane
(Society for Industrial and Applied Mathematics (SIAM), 2000-05)
[Abstract] We use a version of the FEM--BEM method introduced by Costabel [ Boundary Elements IX, Vol. 1, C. A. Brebbia et al., eds., Springer-Verlag, 1987] and Han [ J. Comput. Math., 8 (1990), pp. 223--232] to discretize ...
Enriched finite element subspaces for dual–dual mixed formulations in fluid mechanics and elasticity
(Elsevier, 2005)
[Abstract] In this paper we unify the derivation of finite element subspaces guaranteeing unique solvability and stability of the Galerkin schemes for a new class of dual-mixed variational formulations. The approach, which ...
A fully discrete BEM-FEM method for an exterior elasticity system in the plane
(Elsevier BV * North-Holland, 2001)
[Abstract] We present a modified version of the usual BEM–FEM coupling for the exterior elasticity problem in the plane (cf. Costabel and Stephan, SIAM J. Numer. Anal. 27 (1990) 1212–1226). This new formulation allows us ...
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis
(Elsevier BV, 2004-03)
[Abstract] This is the second part of a work dealing with a low-order mixed finite element method for a class of nonlinear Stokes models arising in quasi-Newtonian fluids. In the first part we showed that the resulting ...
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis
(Elsevier BV, 2004-03)
[Abstract] We present a mixed finite element method for a class of non-linear Stokes models arising in quasi-Newtonian fluids.
Our results include, as a by-product, a new mixed scheme for the linear Stokes equation. The ...