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8 papers · 2 filters
Solitary waves in atomic chains and peridynamical media
Michael Herrmann, Karsten Matthies
Peridynamics describes the nonlinear interactions in spatially extended Hamiltonian systems by nonlocal integro-differential equations, which can be regarded as the natural general…
Enhancing joint reconstruction and segmentation with non-convex Bregman iteration
Veronica Corona, Martin Benning, Matthias J. Ehrhardt +6
All imaging modalities such as computed tomography (CT), emission tomography and magnetic resonance imaging (MRI) require a reconstruction approach to produce an image. A common im…
Preconditioners and Tensor Product Solvers for Optimal Control Problems from Chemotaxis
Sergey Dolgov, John W. Pearson
In this paper, we consider the fast numerical solution of an optimal control formulation of the Keller--Segel model for bacterial chemotaxis. Upon discretization, this problem requ…
Can coercive formulations lead to fast and accurate solution of the Helmholtz equation?
Ganesh C. Diwan, Andrea Moiola, Euan A. Spence
A new, coercive formulation of the Helmholtz equation was introduced in [Moiola, Spence, SIAM Rev. 2014]. In this paper we investigate -version Galerkin discretisations of this…
Domain Decomposition with local impedance conditions for the Helmholtz equation with absorption
I. G. Graham, E. A. Spence, J. Zou
We consider one-level additive Schwarz preconditioners for a family of Helmholtz problems with absorption and increasing wavenumber . These problems are discretized using the Ga…
Matrix-free multigrid block-preconditioners for higher order Discontinuous Galerkin discretisations
Peter Bastian, Eike Hermann Müller, Steffen Müthing +1
Efficient and suitably preconditioned iterative solvers for elliptic partial differential equations (PDEs) of the convection-diffusion type are used in all fields of science and en…