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In this letter, a permutation enhanced parallel reconstruction architecture for compressive sampling is proposed. In this architecture, a measurement matrix is constructed from a block-diagonal sensing matrix and the sparsifying basis of…

Information Theory · Computer Science 2014-09-01 Hao Fang , Sergiy A. Vorobyov , Hai Jiang

Parallel computing has turned out to be the enabling technology to solve complex physical systems. However, the transition from shared memory, vector computers to massively parallel, distributed memory systems and, recently, to hybrid…

Astrophysics · Physics 2007-05-23 P. Hoeflich

The Earth's subsurface is a cornerstone of modern society, providing essential energy resources like hydrocarbons, geothermal, and minerals while serving as the primary reservoir for $CO_2$ sequestration. However, full physics numerical…

Machine Learning · Computer Science 2026-02-13 Xin Ju , Nok Hei , Fung , Yuyan Zhang , Carl Jacquemyn , Matthew Jackson , Randolph Settgast , Sally M. Benson , Gege Wen

Large-scale PDE simulations using high-order finite-element methods on unstructured meshes are an indispensable tool in science and engineering. The widely used open-source PETSc library offers an efficient representation of generic…

Mathematical Software · Computer Science 2021-03-15 Vaclav Hapla , Matthew G. Knepley , Michael Afanasiev , Christian Boehm , Martin van Driel , Lion Krischer , Andreas Fichtner

The scientific community is presently witnessing an unprecedented growth in the quality and quantity of data sets coming from simulations and real-world experiments. To access effectively and extract the scientific content of such…

Instrumentation and Methods for Astrophysics · Physics 2010-04-09 Zhefan Jin , Mel Krokos , Marzia Rivi , Claudio Gheller , Klaus Dolag , Martin Reinecke

We present GAMER-2, a GPU-accelerated adaptive mesh refinement (AMR) code for astrophysics. It provides a rich set of features, including adaptive time-stepping, several hydrodynamic schemes, magnetohydrodynamics, self-gravity, particles,…

Instrumentation and Methods for Astrophysics · Physics 2018-10-05 Hsi-Yu Schive , John A. ZuHone , Nathan J. Goldbaum , Matthew J. Turk , Massimo Gaspari , Chin-Yu Cheng

In this paper, we consider the problem of stochastic optimization, where the objective function is in terms of the expectation of a (possibly non-convex) cost function that is parametrized by a random variable. While the convergence speed…

Information Theory · Computer Science 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

Asynchronous iterations are more and more investigated for both scaling and fault-resilience purpose on high performance computing platforms. While so far, they have been exclusively applied within space domain decomposition frameworks,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-22 Frederic Magoules , Guillaume Gbikpi-Benissan

We implement an adaptive mesh algorithm for calculating the space and time dependence of the atomic density field during materials processing. Our numerical approach uses the systematic renormalization-group formulation of the phase field…

We analyze adaptive mesh-refining algorithms for conforming finite element discretizations of certain non-linear second-order partial differential equations. We allow continuous polynomials of arbitrary, but fixed polynomial order. The…

Numerical Analysis · Mathematics 2014-03-14 Michael Feischl , Thomas Führer , Dirk Praetorius

This paper is about partitioning in parallel and distributed simulation. That means decomposing the simulation model into a numberof components and to properly allocate them on the execution units. An adaptive solution based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-07 Gabriele D'Angelo

In this work we propose an adaptive multilevel version of subset simulation to estimate the probability of rare events for complex physical systems. Given a sequence of nested failure domains of increasing size, the rare event probability…

Numerical Analysis · Mathematics 2023-12-13 Daniel Elfverson , Robert Scheichl , Simon Weissmann , F. Alejandro DiazDelaO

We propose a general algorithm for non-conforming adaptive mesh refinement (AMR) of unstructured meshes in high-order finite element codes. Our focus is on h-refinement with a fixed polynomial order. The algorithm handles triangular,…

Numerical Analysis · Computer Science 2019-05-13 Jakub Červený , Veselin Dobrev , Tzanio Kolev

Many Multi-View-Stereo algorithms extract a 3D mesh model of a scene, after fusing depth maps into a volumetric representation of the space. Due to the limited scalability of such representations, the estimated model does not capture fine…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Andrea Romanoni , Matteo Matteucci

The development of novel materials in recent years has been accelerated greatly by the use of computational modelling techniques aimed at elucidating the complex physics controlling microstructure formation in materials, the properties of…

Materials Science · Physics 2025-11-14 Damien Pinto , Michael Greenwood , Nikolas Provatas

The tremendous challenge of comparing our theoretical models with the gravitational-wave observations in the new era of multimessenger astronomy requires accurate and fast numerical simulations of complicated physical systems described by…

In recent years, mesh subdivision---the process of forging smooth free-form surfaces from coarse polygonal meshes---has become an indispensable production instrument. Although subdivision performance is crucial during simulation, animation…

Graphics · Computer Science 2019-01-17 Daniel Mlakar , Martin Winter , Hans-Peter Seidel , Markus Steinberger , Rhaleb Zayer

The modeling and analysis generic interface for external numerical codes (MAGIX) is a model optimizer developed under the framework of the coherent set of astrophysical tools for spectroscopy (CATS) project. The MAGIX package provides a…

Instrumentation and Methods for Astrophysics · Physics 2012-10-25 T. Möller , I. Bernst , D. Panoglou , D. Muders , V. Ossenkopf , M. Röllig , P. Schilke

In this paper, we examine a number of additive and multiplicative multilevel iterative methods and preconditioners in the setting of two-dimensional local mesh refinement. While standard multilevel methods are effective for uniform…

Numerical Analysis · Mathematics 2010-01-12 Burak Aksoylu , Stephen Bond , Michael Holst

An adaptive mesh refinement (AMR) scheme is implemented in a distributed environment using Message Passing Interface (MPI) to find solutions to the nonlinear sigma model. Previous work studied behavior similar to black hole critical…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Steven L. Liebling