Alacaoglu, Ahmet Malitskyi, Yurii Cevher, Volkan

We propose a variance reduced algorithm for solving monotone variational inequalities. Without assuming strong monotonicity, cocoercivity, or boundedness of the domain, we prove almost sure convergence of the iterates generated by the algorithm to a solution. In the monotone case, the ergodic average converges with the optimal O(1/k) rate of conver...

Fahimi, Z. Mahmoodi, M. R. Nili, H. Polishchuk, Valentin Strukov, D. B.
Published in
Scientific Reports

The increasing utility of specialized circuits and growing applications of optimization call for the development of efficient hardware accelerator for solving optimization problems. Hopfield neural network is a promising approach for solving combinatorial optimization problems due to the recent demonstrations of efficient mixed-signal implementatio...

Areitioaurtena, Maialen Segurajauregi, Unai Akujärvi, Ville Fisk, Martin Urresti, Iker Ukar, Eneko
Published in
Advanced Modeling and Simulation in Engineering Sciences

The numerical simulation of the induction heating process can be computationally expensive, especially if ferromagnetic materials are studied. There are several analytical models that describe the electromagnetic phenomena. However, these are very limited by the geometry of the coil and the workpiece. Thus, the usual method for computing more compl...

Kopriva, David A. Gassner, Gregor J. Nordström, Jan
Published in
Journal of Scientific Computing

We use the behavior of the L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{2}$$\end{document} norm of the solutions of linear hyperbolic equations with discontinuo...

servin, martin vesterlund, folke wallin, erik

Systems for transport and processing of granular media are challenging to analyse, operate and optimise. In the mining and mineral processing industries, these systems are chains of processes with a complex interplay among the equipment, control and processed material. The material properties have natural variations that are usually only known at c...

Servin, Martin Berglund, Tomas Nystedt, Samuel
Published in
Advanced Modeling and Simulation in Engineering Sciences

A multiscale model for real-time simulation of terrain dynamics is explored. To represent the dynamics on different scales the model combines the description of soil as a continuous solid, as distinct particles and as rigid multibodies. The models are dynamically coupled to each other and to the earthmoving equipment. Agitated soil is represented b...

Cohen, David Vilmart, Gilles

We perform a numerical analysis of a class of randomly perturbed Hamiltonian systems and Poisson systems. For the considered additive noise perturbation of such systems, we show the long-time behaviour of the energy and quadratic Casimirs for the exact solution. We then propose and analyse a drift-preserving splitting scheme for such problems with ...

Abgrall, R. Nordström, J. Öffner, P. Tokareva, S.
Published in
Journal of Scientific Computing

In the hyperbolic community, discontinuous Galerkin (DG) approaches are mainly applied when finite element methods are considered. As the name suggested, the DG framework allows a discontinuity at the element interfaces, which seems for many researchers a favorable property in case of hyperbolic balance laws. On the contrary, continuous Galerkin me...

Ranocha, Hendrik Nordström, Jan
Published in
Journal of Scientific Computing

Since integration by parts is an important tool when deriving energy or entropy estimates for differential equations, one may conjecture that some form of summation by parts (SBP) property is involved in provably stable numerical methods. This article contributes to this topic by proposing a novel class of A stable SBP time integration methods whic...

Nordström, Jan Winters, Andrew R.
Published in
Journal of Scientific Computing

We prove that the most common filtering procedure for nodal discontinuous Galerkin (DG) methods is stable. The proof exploits that the DG approximation is constructed from polynomial basis functions and that integrals are approximated with high-order accurate Legendre–Gauss–Lobatto quadrature. The theoretical discussion re-contextualizes stable fil...