38 citations
- University College LondonGB10 papers
- Chinese University of Hong KongHK8 papers
- Gran Sasso Science InstituteIT8 papers
- National Institute for AstrophysicsIT8 papers
- Observatoire de ParisFR8 papers
- Rutherford Appleton LaboratoryGB8 papers
- The University of TokyoJP8 papers
- Université de RennesFR8 papers
- University of BolognaIT8 papers
- University of California SystemUS8 papers
- University of ChicagoUS8 papers
- University of Milano-BicoccaIT8 papers
6 papers · 1 filter
Zeta expansion for long-range interactions under periodic boundary conditions with applications to micromagnetics
Andreas A. Buchheit, Jonathan K. Busse, Torsten KeÃler +1
We address the efficient computation of power-law-based interaction potentials of homogeneous -dimensional bodies with an infinite -dimensional array of copies, including the…
Convergence analysis of GMRES applied to Helmholtz problems near resonances
Victorita Dolean, Pierre Marchand, Axel Modave +1
The finite element solution of Helmholtz problems near resonant or quasi-resonant frequencies poses significant challenges, as iterative solvers typically suffer from severely degr…
Block Alpha-Circulant Preconditioners for All-at-Once Diffusion-Based Covariance Operators
Jemima M. Tabeart, Selime Gürol, John W. Pearson +1
Covariance matrices are central to data assimilation and inverse methods derived from statistical estimation theory. Previous work has considered the application of an all-at-once…
An Introduction to Solving the Least-Squares Problem in Variational Data Assimilation
I. DaužickaitÄ, M. A. Freitag, S. Gürol +4
Variational data assimilation is a technique for combining measured data with dynamical models. It is a key component of Earth system state estimation and is commonly used in weath…
Can Symmetric Positive Definite (SPD) coarse spaces perform well for indefinite Helmholtz problems?
Victorita Dolean, Mark Fry, Matthias Langer
Wave propagation problems governed by the Helmholtz equation remain among the most challenging in scientific computing, due to their indefinite nature. Domain decomposition methods…
Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation
Victorita Dolean, Daria Hrebenshchykova, Stéphane Lanteri +1
Accurately simulating wave propagation is crucial in fields such as acoustics, electromagnetism, and seismic analysis. Traditional numerical methods, like finite difference and fin…