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SIAMSC
2008
108views more  SIAMSC 2008»
13 years 9 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. ...
SIAMSC
2008
90views more  SIAMSC 2008»
13 years 9 months ago
Norm Preconditioners for Discontinuous Galerkin hp-Finite Element Methods
We consider a norm-preconditioning approach for the solution of discontinuous Galerkin finite element discretizations of second order PDE with non-negative characteristic form. In ...
Emmanuil H. Georgoulis, Daniel Loghin
SIAMSC
2008
122views more  SIAMSC 2008»
13 years 9 months ago
A Framework for Discrete Integral Transformations II-The 2D Discrete Radon Transform
The Radon transform is a fundamental tool in many areas. For example, in reconstruction of an image from its projections (CT scanning). Although it is situated in the core of many...
Amir Averbuch, Ronald R. Coifman, David L. Donoho,...
SIAMSC
2010
95views more  SIAMSC 2010»
13 years 8 months ago
Interpreting IDR as a Petrov--Galerkin Method
The IDR method of Sonneveld and van Gijzen [SIAM J. Sci. Comput., 31:1035–1062, 2008] is shown to be a Petrov-Galerkin (projection) method with a particular choice of left Krylov...
Valeria Simoncini, Daniel B. Szyld
SIAMSC
2010
134views more  SIAMSC 2010»
13 years 8 months ago
Moving Least Squares via Orthogonal Polynomials
A method for moving least squares interpolation and differentiation is presented in the framework of orthogonal polynomials on discrete points. This yields a robust and efficient ...
Michael Carley