2.9k citations
- Centre National de la Recherche ScientifiqueFR147 papers
- University of OxfordGB114 papers
- University of CambridgeGB88 papers
- Max Planck Institute for Extraterrestrial PhysicsDE84 papers
- University of BristolGB80 papers
- University College LondonGB78 papers
- Center for Astrophysics Harvard & SmithsonianUS72 papers
- Space Telescope Science InstituteUS72 papers
- National Institute for AstrophysicsIT71 papers
- University of EdinburghGB69 papers
- University of WarwickGB69 papers
- University of CopenhagenDK63 papers
10 papers · 2 filters
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption
Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham +2
This paper rigorously analyses preconditioners for the time-harmonic Maxwell equations with absorption, where the PDE is discretised using curl-conforming finite-element methods of…
The scaling and skewness of optimally transported meshes on the sphere
Chris J. Budd, Andrew T. T. McRae, Colin J. Cotter
In the context of numerical solution of PDEs, dynamic mesh redistribution methods (r-adaptive methods) are an important procedure for increasing the resolution in regions of intere…
Circulant embedding with QMC -- analysis for elliptic PDE with lognormal coefficients
Ivan G. Graham, Frances Y. Kuo, Dirk Nuyens +2
In a previous paper (J. Comp. Phys. 230 (2011), 3668--3694), the authors proposed a new practical method for computing expected values of functionals of solutions for certain class…
Min-plus algebraic low rank matrix approximation: a new method for revealing structure in networks
James Hook
In this paper we introduce min-plus low rank matrix approximation. By using min and plus rather than plus and times as the basic operations in the matrix multiplication; min-plus l…
dune-composites -- A New Framework for High-Performance Finite Element Modelling of Laminates
Anne Reinarz, Tim Dodwell, Tim Fletcher +3
Finite element (FE) analysis has the potential to offset much of the expensive experimental testing currently required to certify aerospace laminates. However, large numbers of deg…
Two-level preconditioners for the Helmholtz equation
Marcella Bonazzoli, Victorita Dolean, Ivan Graham +2
In this paper we compare numerically two different coarse space definitions for two-level domain decomposition preconditioners for the Helmholtz equation, both in two and three dim…