Sue Brenner

University of South Carolina

IMI Preprints

• Multigrid algorithms for C^0 interior penalty methods (2004)
• Two-level additive Schwarz preconditioners for C^0 interior penalty methods (2004)
• Convergence of multigrid algorithms for interior penalty methods (2004)
• Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework (2003)
• C⁰ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains (2003)
• Discrete Sobolev and Poincaré inequalities for piecewise polynomial functions (2003)
• Poincaré-Friedrichs inequalities for piecewise H ² functions (2003)
• Poincaré-Friedrichs inequalities for piecewise H¹ functions (2002)
• Korn's inequalities for piecewise H¹ vector fields (2002)
• Multigrid methods for the computation of singular solutions and stress intensity factors III: Interface singularities (2002)
• Lower bounds for three-dimensional nonoverlapping domain decomposition algorithms (2001)
• A new look at FETI (2001)
• Convergence of nonconforming V-cycle and F-cycle multigrid algorithms for second order elliptic boundary value problems (2001)
• Smoothers, mesh dependent norms, interpolation and multigrid (2001)
• Discrete Sobolev and Poincaré inequalities via Fourier series (2000)
• An additive Schwarz preconditioner for the FETI method (2000)
• Some nonstandard finite element estimates with applications to 3D Poisson and Signorini problems (2000)
• Convergence of the multigrid V-cycle algorithm for second order boundary value problems without full elliptic regularity (1999)
• Lower bounds for two-level additive Schwarz preconditioners with small overlap (1998)
• Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions (1998)
• Lower bounds for two-level additive Schwarz preconditioners for nonconforming finite elements (1998)
• A nonstandard finite element interpolation estimate (1998)
• Balancing domain decomposition for nonconforming plate elements (1997)
• The condition number of the Schur complement in domain decomposition (1997)