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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...
SIAMSC
2008
97views more  SIAMSC 2008»
13 years 9 months ago
Long-Time Simulations on High Resolution Meshes to Model Calcium Waves in a Heart Cell
Abstract. A model for the flow of calcium in an atrial heart cell is given by a system of timedependent reaction-diffusion equations coupled by non-linear reaction terms. Calcium i...
Matthias K. Gobbert
SIAMSC
2008
131views more  SIAMSC 2008»
13 years 9 months ago
Gramian-Based Model Reduction for Data-Sparse Systems
Model order reduction (MOR) is common in simulation, control and optimization of complex dynamical systems arising in modeling of physical processes and in the spatial discretizati...
Ulrike Baur, Peter Benner
SIAMSC
2008
140views more  SIAMSC 2008»
13 years 9 months ago
Compact Fourier Analysis for Designing Multigrid Methods
The convergence of Multigrid methods can be analyzed based on a Fourier analysis of the method or by proving certain inequalities that have to be fulfilled by the smoother and by t...
Thomas K. Huckle