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SIAMSC
2010
210views more  SIAMSC 2010»
13 years 4 months ago
On Two-Dimensional Sparse Matrix Partitioning: Models, Methods, and a Recipe
We consider two-dimensional partitioning of general sparse matrices for parallel sparse matrix-vector multiply operation. We present three hypergraph-partitioning-based methods, ea...
Ümit V. Çatalyürek, Cevdet Aykana...
SIAMSC
2010
170views more  SIAMSC 2010»
13 years 4 months ago
Adaptive ADER Methods Using Kernel-Based Polyharmonic Spline WENO Reconstruction
An adaptive ADER finite volume method on unstructured meshes is proposed. The method combines high order polyharmonic spline WENO reconstruction with high order flux evaluation. Po...
Terhemen Aboiyar, Emmanuil H. Georgoulis, Armin Is...
SIAMSC
2010
270views more  SIAMSC 2010»
13 years 8 months ago
High Order Numerical Methods to Three Dimensional Delta Function Integrals in Level Set Methods
In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for ...
Xin Wen
SIAMSC
2010
144views more  SIAMSC 2010»
13 years 8 months ago
An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons
In recent years nonpolynomial finite element methods have received increasing attention for the efficient solution of wave problems. As with their close cousin the method of parti...
A. H. Barnett, Timo Betcke
SIAMSC
2010
132views more  SIAMSC 2010»
13 years 8 months ago
A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
For the finite volume discretization of a second-order elliptic model problem, we derive a posteriori error estimates which take into account an inexact solution of the associated...
Pavel Jiránek, Zdenek Strakos, Martin Vohra...