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In the Exa-Dune project we have developed, implemented and optimised numerical algorithms and software for the scalable solution of partial differential equations (PDEs) on future exascale systems exhibiting a heterogeneous massively…

The full-wave simulation of complex electromagnetic surfaces such as reflectarrays and metasurfaces is a challenging problem. In this paper, we present a macromodeling approach to efficiently simulate complex electromagnetic surfaces…

Computational Engineering, Finance, and Science · Computer Science 2020-12-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

Work presented in this paper describes a general algorithm and its finite element implementation for performing concurrent multiple sub-domain simulations in linear structural dynamics. Using this approach one can solve problems in which…

Numerical Analysis · Mathematics 2013-12-25 Tejas Ruparel , Azim Eskandarian , James Lee

In order to reduce the computational cost of the simulation of electromagnetic responses in geophysical settings that involve highly heterogeneous media, we develop a multiscale finite volume method with oversampling for the quasi-static…

Computational Physics · Physics 2016-10-10 Luz Angelica Caudillo Mata , Eldad Haber , Christoph Schwarzbach

We report on the development of a computational framework for the parallel, mesh-adaptive solution of systems of hyperbolic conservation laws like the time-dependent Euler equations in compressible gas dynamics or Magneto-Hydrodynamics…

Computational Physics · Physics 2007-05-23 J. Dreher , R. Grauer

The study deals with the parallelization of 2D and 3D finite element based Navier-Stokes codes using direct solvers. Development of sparse direct solvers using multifrontal solvers has significantly reduced the computational time of direct…

Mathematical Software · Computer Science 2009-10-13 Mandhapati P. Raju

Many astrophysical simulations involve extreme dynamic range of timescales around 'special points' in the domain (e.g. black holes, stars, planets, disks, galaxies, shocks, mixing interfaces), where processes on small scales couple strongly…

Instrumentation and Methods for Astrophysics · Physics 2026-05-11 Philip F. Hopkins , Elias R. Most

Time-parallel time integration has received a lot of attention in the high performance computing community over the past two decades. Indeed, it has been shown that parallel-in-time techniques have the potential to remedy one of the main…

Numerical Analysis · Mathematics 2023-09-26 Martin J. Gander , Davide Palitta

We present original time-parallel algorithms for the solution of the implicit Euler discretization of general linear parabolic evolution equations with time-dependent self-adjoint spatial operators. Motivated by the inf-sup theory of…

Numerical Analysis · Mathematics 2021-03-24 Martin Neumuller , Iain Smears

Fully realizing the potential of multigrid solvers often requires custom algorithms for a given application model, discretizations and even regimes of interest, despite considerable effort from the applied math community to develop fully…

Plasma Physics · Physics 2023-02-22 Mark F. Adams , Matthew K. Knepley

Among several techniques available for solving Computational Electromagnetics (CEM) problems, the Finite Difference Time Domain (FDTD) method is one of the best suited approaches when a parallelized hardware platform is used. In this paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-03 A V Choudhari , N A Pande , M R Gupta

A coupling approach is presented to combine a wave-based method to the standard finite element method. This coupling methodology is presented here for the Helmholtz equation but it can be applied to a wide range of wave propagation…

Computational Physics · Physics 2018-01-16 Mathieu Gaborit , Olivier Dazel , Peter Göransson , Gwénaël Gabard

The desire to empower resource-limited edge devices with computer vision (CV) must overcome the high energy consumption of collecting and processing vast sensory data. To address the challenge, this work proposes an energy-efficient…

Hardware Architecture · Computer Science 2024-02-26 Md Abdullah-Al Kaiser , Gourav Datta , Peter A. Beerel , Akhilesh R. Jaiswal

This work presents and evaluates a novel input parameterization method which improves the tractability of model predictive control (MPC) for high degree of freedom (DoF) robots. Experimental results demonstrate that by parameterizing the…

Systems and Control · Electrical Eng. & Systems 2020-01-15 Phillip Hyatt , Connor S. Williams , Marc D. Killpack

Understanding and optimizing the properties of solar cells is becoming a key issue in the search for alternatives to nuclear and fossil energy sources. A theoretical analysis via numerical simulations involves solving Maxwell's Equations in…

Computational Engineering, Finance, and Science · Computer Science 2015-10-20 Tareq M. Malas , Julian Hornich , Georg Hager , Hatem Ltaief , Christoph Pflaum , David E. Keyes

Periodic micromagnetic finite element method (PM-FEM) is introduced to solve periodic unit cell problems using the Landau-Lifshitz-Gilbert equation. PM-FEM is applicable to general problems with 1D, 2D, and 3D periodicities. PM-FEM is based…

Numerical Analysis · Mathematics 2024-09-24 Fangzhou Ai , Jiawei Duan , Vitaliy Lomakin

We present MHDuet, an open source evolution code for general relativistic magnetohydrodynamics with neutrino transport. The code solves the full set of Einstein equations coupled to a relativistic, magnetized fluid with an M1 neutrino…

Understanding the interaction of vortices with inclusions in type-II superconductors is a major outstanding challenge both for fundamental science and energy applications. At application-relevant scales, the long-range interactions between…

Superconductivity · Physics 2015-05-11 I. A. Sadovskyy , A. E. Koshelev , C. L. Phillips , D. A. Karpeyev , A. Glatz

The finite-difference time-domain (FDTD) method has been commonly utilized to simulate the electromagnetic (EM) waves propagation in the plasma media. However, the FDTD method may bring about extra run-time on concerning computationally…

Computational Physics · Physics 2018-04-13 Lang-lang Xiong , Xi-min Wang , Song Liu , Zhi-yun Peng , Shuang-ying Zhong

Nonlinear model predictive control has been widely adopted to manipulate bilinear systems with dynamics that include products of the inputs and the states. These systems are ubiquitous in chemical processes, mechanical systems, and quantum…

Systems and Control · Electrical Eng. & Systems 2023-07-06 Yingzhao Lian , Yuning Jiang , Daniel F. Opila , Colin N. Jones
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