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MOC
2002
92views more  MOC 2002»
13 years 7 months ago
Error indicators for the mortar finite element discretization of the Laplace equation
The mortar technique turns out to be well adapted to handle mesh adaptivity in finite elements, since it allows for working with nonnecessarily compatible discretizations on the el...
Christine Bernardi, Frédéric Hecht
SIAMSC
2008
230views more  SIAMSC 2008»
13 years 7 months ago
Augmented Mixed Finite Element Methods for the Stationary Stokes Equations
In this paper we introduce and analyze two augmented mixed finite element methods for a velocity-pressure-stress formulation of the stationary Stokes equations. Our approach, which...
Leonardo E. Figueroa, Gabriel N. Gatica, Antonio M...
SC
2004
ACM
14 years 24 days ago
Ultrascalable Implicit Finite Element Analyses in Solid Mechanics with over a Half a Billion Degrees of Freedom
The solution of elliptic diffusion operators is the computational bottleneck in many simulations in a wide range of engineering and scientific disciplines. We present a truly sca...
Mark F. Adams, Harun H. Bayraktar, Tony M. Keaveny...
MOC
2010
13 years 2 months ago
A direct coupling of local discontinuous Galerkin and boundary element methods
The coupling of local discontinuous Galerkin (LDG) and boundary element methods (BEM), which has been developed recently to solve linear and nonlinear exterior transmission proble...
Gabriel N. Gatica, Norbert Heuer, Francisco-Javier...
MOC
2000
124views more  MOC 2000»
13 years 7 months ago
Local and parallel finite element algorithms based on two-grid discretizations
A number of new local and parallel discretization and adaptive finite element algorithms are proposed and analyzed in this paper for elliptic boundary value problems. These algorit...
Jinchao Xu, Aihui Zhou