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» Numerical Methods for the Landau-Lifshitz-Gilbert Equation
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289views
13 years 10 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
97
Voted
CORR
2008
Springer
119views Education» more  CORR 2008»
15 years 18 days ago
Self-stabilizing Numerical Iterative Computation
Many challenging tasks in sensor networks, including sensor calibration, ranking of nodes, monitoring, event region detection, collaborative filtering, collaborative signal proces...
Ezra N. Hoch, Danny Bickson, Danny Dolev
125
Voted
SIAMSC
2010
192views more  SIAMSC 2010»
14 years 11 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
125
Voted
SIMPRA
2011
14 years 7 months ago
A real-time multigrid finite hexahedra method for elasticity simulation using CUDA
In this paper we present a GPU-based multigrid approach for simulating elastic deformable objects in real time. Our method is based on a finite element discretization of the defo...
Christian Dick, Joachim Georgii, Rüdiger West...
96
Voted
EUROPAR
2006
Springer
15 years 4 months ago
Parallel Solution of Large-Scale and Sparse Generalized Algebraic Riccati Equations
We discuss a parallel algorithm for the solution of large-scale generalized algebraic Riccati equations with dimension up to O(105 ). We survey the numerical algorithms underlying ...
José M. Badía, Peter Benner, Rafael ...