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SIAMSC
2011
85views more  SIAMSC 2011»
12 years 7 months ago
Refinement and Connectivity Algorithms for Adaptive Discontinuous Galerkin Methods
Abstract. Adaptive multiscale methods are among the many effective techniques for the numerical solution of partial differential equations. Efficient grid management is an import...
Kolja Brix, Ralf Massjung, Alexander Voss
COMPGEOM
2004
ACM
13 years 8 months ago
Spacetime meshing with adaptive refinement and coarsening
We propose a new algorithm for constructing finite-element meshes suitable for spacetime discontinuous Galerkin solutions of linear hyperbolic PDEs. Given a triangular mesh of som...
Reza Abedi, Shuo-Heng Chung, Jeff Erickson, Yong F...
SIAMNUM
2010
150views more  SIAMNUM 2010»
12 years 11 months ago
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric second order linear elliptic operators. The method is formulated on nonconforming meshes made of si...
Andrea Bonito, Ricardo H. Nochetto
ICCS
2009
Springer
13 years 11 months ago
Time Acceleration Methods for Advection on the Cubed Sphere
Climate simulation will not grow to the ultrascale without new algorithms to overcome the scalability barriers blocking existing implementations. Until recently, climate simulation...
R. K. Archibald, Katherine J. Evans, J. B. Drake, ...
IPMI
2003
Springer
14 years 5 months ago
Meshfree Representation and Computation: Applications to Cardiac Motion Analysis
Abstract. For medical image analysis issues where the domain mappings between images involve large geometrical shape changes, such as the cases of nonrigid motion recovery and inte...
Huafeng Liu, Pengcheng Shi