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We present a method that employs physics-informed deep learning techniques for parametrically solving partial differential equations. The focus is on the steady-state heat equations within heterogeneous solids exhibiting significant phase…

Machine Learning · Computer Science 2024-01-05 Shahed Rezaei , Ahmad Moeineddin , Michael Kaliske , Markus Apel

Multiscale and multiphysics problems need novel numerical methods in order for them to be solved correctly and predictively. To that end, we develop a wavelet based technique to solve a coupled system of nonlinear partial differential…

Numerical Analysis · Mathematics 2023-03-22 Cale Harnish , Luke Dalessandro , Karel Matous , Daniel Livescu

We consider an elliptic partial differential equation with a random diffusion parameter discretized by a stochastic collocation method in the parameter domain and a finite element method in the spatial domain. We prove convergence of an…

Numerical Analysis · Mathematics 2025-06-03 Michael Feischl , Andrea Scaglioni

In the load balancing problem, each node in a network is assigned a load, and the goal is to equally distribute the loads among the nodes, by preforming local load exchanges. While load balancing was extensively studied in static networks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-28 Seth Gilbert , Uri Meir , Ami Paz , Gregory Schwartzman

High fidelity simulation of large-sized complex networks can be realized on a distributed computing platform that leverages the combined resources of multiple processors or machines. In a discrete event driven simulation, the assignment of…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-16 Aditya Kurve , Christopher Griffin , David J. Miller , George Kesidis

In order to run Computational Fluid Dynamics (CFD) codes on large scale infrastructures, parallel computing has to be used because of the computational intensive nature of the problems. In this paper we investigate the ADAPT platform where…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-25 Imad Kissami , Christophe Cerin , Fayssal Benkhaldoun , Gilles Scarella

Nowadays, multiprocessing is mainstream with exponentially increasing number of processors. Load balancing is, therefore, a critical operation for the efficient execution of parallel algorithms. In this paper we consider the fundamental…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Osama Talaat Ibrahim , Ahmed El-Mahdy

In this paper, we derive and investigate approaches to dynamically load balance a distributed task parallel application software. The load balancing strategy is based on task migration. Busy processes export parts of their ready task queue…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Afshin Zafari , Elisabeth Larsson

As machine learning inferences increasingly move to edge devices, adapting to diverse computational capabilities, hardware, and memory constraints becomes more critical. Instead of relying on a pre-trained model fixed for all future…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-01 Xiangchen Li , Saeid Ghafouri , Bo Ji , Hans Vandierendonck , Deepu John , Dimitrios S. Nikolopoulos

Graph partitioning, a well studied problem of parallel computing has many applications in diversified fields such as distributed computing, social network analysis, data mining and many other domains. In this paper, we introduce FGPGA, an…

Neural and Evolutionary Computing · Computer Science 2014-11-18 Md. Lisul Islam , Novia Nurain , Swakkhar Shatabda , M Sohel Rahman

The dynamic scaling of distributed computations plays an important role in the utilization of elastic computational resources, such as the cloud. It enables the provisioning and de-provisioning of resources to match dynamic resource…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-19 Masatoshi Hanai , Nikos Tziritas , Toyotaro Suzumura , Wentong Cai , Georgios Theodoropoulos

We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equations coupled to a microscale model comprising a system of…

Numerical Analysis · Mathematics 2015-06-22 A. Johansson , J. H. Chaudry , V. Carey , D. Estep , V. Ginting , M. Larson , S. Tavener

The $hp$-adaptive finite element method (FEM) - where one independently chooses the mesh size ($h$) and polynomial degree ($p$) to be used on each cell - has long been known to have better theoretical convergence properties than either $h$-…

Numerical Analysis · Mathematics 2023-09-14 Marc Fehling , Wolfgang Bangerth

In this paper the $h$-adaptive partition-of-unity method and the $h$- and $hp$-adaptive finite element method are applied to partial differential equations arising in quantum mechanics, namely, the Schr\"odinger equation with Coulomb and…

Computational Physics · Physics 2016-12-08 Denis Davydov , Tymofiy Gerasimov , Jean-Paul Pelteret , Paul Steinmann

Many problems in science and engineering can be represented by a set of partial differential equations (PDEs) through mathematical modeling. Mechanism-based computation following PDEs has long been an essential paradigm for studying topics…

Machine Learning · Computer Science 2022-11-21 Shudong Huang , Wentao Feng , Chenwei Tang , Jiancheng Lv

Current approaches to scheduling workloads on heterogeneous systems with specialized accelerators often rely on manual partitioning, offloading tasks with specific compute patterns to accelerators. This method requires extensive…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-12 Zhenyu Bai , Dan Wu , Pranav Dangi , Dhananjaya Wijerathne , Venkata Pavan Kumar Miriyala , Tulika Mitra

Measurement and analysis of high energetic particles for scientific, medical or industrial applications is a complex procedure, requiring the design of sophisticated detector and data processing systems. The development of adaptive and…

Computational Physics · Physics 2025-10-30 Tobias Kortus , Ralf Keidel , Nicolas R. Gauger

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems.…

Numerical Analysis · Mathematics 2021-06-21 Stefano Berrone , Alice Raeli

We present here a cost effective framework for a robust scalable and distributed job processing system that adapts to the dynamic computing needs easily with efficient load balancing for heterogeneous systems. The design is such that each…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Putti Srinivasrao , V. P. C. Rao , A. Govardhan , Ambika Prasad Mohanty

Load-balancing among the threads of a GPU for graph analytics workloads is difficult because of the irregular nature of graph applications and the high variability in vertex degrees, particularly in power-law graphs. We describe a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-02-28 Vishwesh Jatala , Loc Hoang , Roshan Dathathri , Gurbinder Gill , V Krishna Nandivada , Keshav Pingali