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SIAMNUM
2011
108views more  SIAMNUM 2011»
12 years 11 months ago
A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
We introduce a new mixed method for the biharmonic problem. The method is based on a formulation where the biharmonic problem is re-written as a system of four first-order equatio...
Edwin M. Behrens, Johnny Guzmán
SIAMSC
2011
142views more  SIAMSC 2011»
12 years 11 months ago
Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
Abstract. In this paper, we propose new adaptive local refinement (ALR) strategies for firstorder system least-squares (FOSLS) finite element in conjunction with algebraic multi...
J. H. Adler, Thomas A. Manteuffel, Stephen F. McCo...
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 4 months ago
A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
We present a fast direct solver methodology for the Dirichlet biharmonic problem in a rectangle. The solver is applicable in the case of the second order Stephenson scheme [34] as ...
Matania Ben-Artzi, Jean-Pierre Croisille, Dalia Fi...
SIAMSC
2008
206views more  SIAMSC 2008»
13 years 4 months ago
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order equations by introducing the gradient o...
Jaime Peraire, Per-Olof Persson
AMC
2006
120views more  AMC 2006»
13 years 4 months ago
Discrete-velocity relaxation methods for large eddy simulation
ct 9 A new discrete-velocity method for the numerical solution of large eddy simulation (LES) is presented based on relax10 ation type formulation. The discrete-velocity equations ...
Mapundi K. Banda, Mohammed Seaïd, Ioan Teleag...