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» TH-collocation for the biharmonic equation
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JSCIC
2010
142views more  JSCIC 2010»
13 years 2 months ago
Recent Developments in the Pure Streamfunction Formulation of the Navier-Stokes System
In this paper we review fourth-order approximations of the biharmonic operator in one, two and three dimensions. In addition, we describe recent developments on second and fourth o...
Dalia Fishelov, Matania Ben-Artzi, Jean-Pierre Cro...
SIAMNUM
2011
108views more  SIAMNUM 2011»
13 years 2 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
AES
2005
Springer
105views Cryptology» more  AES 2005»
13 years 7 months ago
TH-collocation for the biharmonic equation
This paper is intended as a contribution to enhance orthogonal collocation methods. In this, a novel collocation method--TH-collocation--is applied to the biharmonic equation and ...
Martín Díaz, Ismael Herrera
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 7 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
108views more  SIAMSC 2008»
13 years 7 months ago
Automated Code Generation for Discontinuous Galerkin Methods
A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors convention...
Kristian B. Ølgaard, Anders Logg, Garth N. ...