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Recent advances and trends in numerical techniques for process simulation

W. Joppich, S. Mijalković
<span title="">1997</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/wifafrwnbje2nhefblix5i3tcq" style="color: black;">Microelectronics and reliability</a> </i> &nbsp;
In this paper, an outlook on the current status and trends in numerical techniques for efficient multidimensional bulk process simulation is given.  ...  Grid generation, grid adaptation, discretization and solving techniques are considered as the principle numerical building blocks of modem process simulation tools.  ...  A systematic methodology for multizone grid generation according to the above requirements is employed in MAGG [9] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0026-2714(97)00005-x">doi:10.1016/s0026-2714(97)00005-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gh5ciya3bre3nmnlh6c6tb3kqu">fatcat:gh5ciya3bre3nmnlh6c6tb3kqu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190220234130/http://pdfs.semanticscholar.org/29ed/16639423aee76987df016501a6bd75686a0c.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/29/ed/29ed16639423aee76987df016501a6bd75686a0c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0026-2714(97)00005-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Modeling with collaborating PDE solvers—Theory and practice

Mo Mu, John R. Rice
<span title="">1995</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mrhvz2swubd2dnlzglmykmwv3m" style="color: black;">Computing Systems in Engineering</a> </i> &nbsp;
Both theory and practice show that this is a promising approach for efficiently solving complicated problems on modern computer environments.  ...  We consider the problem of modeling very complex physical systems by a network of collaborating PDE solvers.  ...  We would like to thank him very much for providing the implementation details.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0956-0521(95)00005-k">doi:10.1016/0956-0521(95)00005-k</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y2ldbn65lzhhxgbcqivekf5utm">fatcat:y2ldbn65lzhhxgbcqivekf5utm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190427214500/https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2155&amp;context=cstech" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/04/f5/04f5cd77f86d385f1ffde4cbd1bf82d1727802b9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0956-0521(95)00005-k"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

High Order Finite Element Schemes And Domain Decomposition Solvers For Large-Scale Simulations In Electromagnetics

Stéphane Lanteri
<span title="2017-03-08">2017</span> <i title="Zenodo"> Zenodo </i> &nbsp;
The enabling numerical tool is a domain decomposition solution strategy for the sparse system of linear equations resulting from the spatial discretization of the underlying PDEs (Partial Differential  ...  of a plane wave by an aircraft, and the interaction of an electromagnetic wave with a heterogeneous model of head tissues.  ...  Acknowledgements This work was financially supported by the PRACE project funded in part by the EU's Horizon 2020 research and innovation programme (2014-2020) under grant agreement 653838.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5281/zenodo.830354">doi:10.5281/zenodo.830354</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zdaf5nmg3bbntevadby5i737ym">fatcat:zdaf5nmg3bbntevadby5i737ym</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201226061328/https://zenodo.org/record/830354/files/WP229.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/7c/e7/7ce72deba17a6395d3bf41c3187ac4c683de00f8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5281/zenodo.830354"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> zenodo.org </button> </a>

A novel approach of three-dimensional hybrid grid methodology: Part 1. Grid generation

Yao Zheng, Meng-Sing Liou
<span title="">2003</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gctv3v6plrgwthusala4ydxxeq" style="color: black;">Computer Methods in Applied Mechanics and Engineering</a> </i> &nbsp;
The DRAGON grid is created by means of a Direct Replacement of Arbitrary Grid Overlapping by Nonstructured grid, and is structured-grid dominated with unstructured grids in small regions.  ...  We propose a novel approach of three-dimensional hybrid grid methodology, the DRAGON grid method in the three-dimensional space.  ...  Buning for providing us the picture of the Chimera grid for the integrated space shuttle geometry.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0045-7825(03)00385-2">doi:10.1016/s0045-7825(03)00385-2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mbeepabb65ecta6uo74oj5nabu">fatcat:mbeepabb65ecta6uo74oj5nabu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070925025154/http://www.cesc.zju.edu.cn/people/zhengyao/papers/CMA3174.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/31/26/31268ae4ebc3e5f73c290fc772f67e953be1a9fd.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0045-7825(03)00385-2"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

The Dune framework: Basic concepts and recent developments

Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
<span title="">2020</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nkrwe4pmozafvnd72yxufztpku" style="color: black;">Computers and Mathematics with Applications</a> </i> &nbsp;
Other grid implementations might read a coarse grid from a file. Grids can be refined in a hierarchic manner, meaning that elements are subdivided into several smaller elements.  ...  First we instantiate a grid: const int dim = 4; using Grid = Dune:: YaspGrid ; Dune:: FieldVector length ; for (auto& l : length ) l=1.0; std:: array nCells ; for (auto& c : nCells ) c=4; Grid grid(length  ...  In grid-based numerical methods for the solution of PDEs the domain Ω is partitioned into a finite number of open, bounded, connected, and nonoverlapping subdomains Ω e , e ∈ E, E the set of elements,  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.camwa.2020.06.007">doi:10.1016/j.camwa.2020.06.007</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/37m6di54rbgo3m2y5y5m2hd234">fatcat:37m6di54rbgo3m2y5y5m2hd234</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210131210354/https://refubium.fu-berlin.de/bitstream/handle/fub188/29410/1-s2.0-S089812212030256X-main.pdf;jsessionid=1A25451913A5C25E2DD90C77A27B66FD?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f9/cb/f9cbaca331639094e9a2dd67774adc11404c353b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.camwa.2020.06.007"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> elsevier.com </button> </a>

The DUNE Framework: Basic Concepts and Recent Developments [article]

Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander
<span title="2020-06-22">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This discussion is accompanied with a description of various advanced features, such as coupling of domains and cut cells, grid modifications such as adaptation and moving domains, high order discretizations  ...  of the first Dune version in 2007 and the main papers describing that state [1, 2].  ...  Acknowledgements We thank the Dune users and contributors for their continuous support, as only a vivid community unfolds the power of open source.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1909.13672v3">arXiv:1909.13672v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hc5a7al4xvhahdp7fs7f55cwg4">fatcat:hc5a7al4xvhahdp7fs7f55cwg4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200703232814/https://arxiv.org/pdf/1909.13672v3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0f/8f/0f8fc3eca703b720e19bb9b0e73cf026df36adb0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1909.13672v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Learning Overlap Optimization for Domain Decomposition Methods [chapter]

Steven Burrows, Jörg Frochte, Michael Völske, Ana Belén Martínez Torres, Benno Stein
<span title="">2013</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
Choosing the sub-domains for domain decomposition is a non-trivial task, and in this paper we show how this can be addressed with machine learning.  ...  The finite element method is a numerical simulation technique for solving partial differential equations.  ...  Solving PDEs using Domain Decomposition Numerical methods for solving any partial differential equation (PDE) [3] tend to involve a huge number of unknowns, especially in three dimensions.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-37453-1_36">doi:10.1007/978-3-642-37453-1_36</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g662nyr7tfhffdu53r76uvaism">fatcat:g662nyr7tfhffdu53r76uvaism</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170921222612/http://www.uni-weimar.de/medien/webis/publications/papers/stein_2013a.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/26/d1/26d13d63360268024f9fc8e3298214423277750e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-37453-1_36"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Mapping Algorithms and Software Environment for Data Parallel PDE Iterative Solvers

N. Chrisochoides, E. Houstis, J. Rice
<span title="">1994</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rwjg7tprafhufajayuvxj2q4n4" style="color: black;">Journal of Parallel and Distributed Computing</a> </i> &nbsp;
We consider computations associated with data parallel iterative s o l v ers used for the numerical solution of Partial Di erential Equations (PDEs).  ...  In this paper we p r e s e n t t wo new data mapping algorithms and evaluate them together with a large number of existing ones using the actual performance of data parallel iterative PDE solvers on the  ...  They can easily be extended to computations associated with the numerical simulation of more complicated \steady-state" mathematical models.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jpdc.1994.1043">doi:10.1006/jpdc.1994.1043</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7nzs7wmayffpldhnnwpim27u2m">fatcat:7nzs7wmayffpldhnnwpim27u2m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181118183853/https://surface.syr.edu/cgi/viewcontent.cgi?article=1008&amp;context=npac" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ca/a5/caa515aab0c15e1fd37d817d81bc7f14dc901f7a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1006/jpdc.1994.1043"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Computation of viscous incompressible flow using pressure correction method on unstructured Chimera grid

Xing Zhang
<span title="">2006</span> <i title="Informa UK Limited"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jdyiuhe2drberjwbijveqkegam" style="color: black;">International journal of computational fluid dynamics (Print)</a> </i> &nbsp;
The author also expresses his appreciation to the support and funds from "Project-sponsored by SRF for ROCS, SEM".  ...  partially sponsored by the National Natural Science Foundation of China under the project No. 10325211 and the Chinese Academy of Sciences under the innovative project "Multi-scale modeling and simulation in  ...  The major steps in this algorithm are summarized as follows. (1) Read mesh connectivity, compute geometry and inter-grid links for later use.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/10618560601140094">doi:10.1080/10618560601140094</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dx2j3emulneanilqnfufqfsbue">fatcat:dx2j3emulneanilqnfufqfsbue</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190429020842/http://dspace.imech.ac.cn/bitstream/311007/16039/1/94625.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3a/dc/3adc9d505e3352b0ad6f680d44a453f6cb020e98.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1080/10618560601140094"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> tandfonline.com </button> </a>

High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

Chi-Wang Shu
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
For solving time-dependent convection-dominated partial differential equations (PDEs), which arise frequently in computational physics, high order numerical methods, including finite difference, finite  ...  , which address issues in solving complex geometry problems using Cartesian meshes.  ...  This limiter needs to use the information from not only the immediate neighboring cells but also neighbors' neighbors, making it complicated to implement in multi-dimensions, developed a new WENO limiting  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2016.04.030">doi:10.1016/j.jcp.2016.04.030</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ucrmechmcfcitdjhvb3ynd2g6e">fatcat:ucrmechmcfcitdjhvb3ynd2g6e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190129185251/https://www.brown.edu/research/projects/scientific-computing/sites/brown.edu.research.projects.scientific-computing/files/uploads/High%20order%20WENO%20and%20DG%20methods%20for%20time-dependent%20convection-dominated%20PDEs.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5d/1e/5d1e603449d2e170608f75345e33751ce44ae7c6.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2016.04.030"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Practical transformation of functional programs for efficient execution: A case study [chapter]

James M. Boyle, Terence J. Harmer
<span title="">1993</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
The example we discuss is a specification for a quasi-linear hyperbolic partial differential equation solver.  ...  We show how program transformation can be used to derive highly efficient implementations of a numerical mathematical algorithm specified by a functional program.  ...  Acknowledgments We are indebted to both David Levine and Marc Garbey for explaining their algorithm and the difficulties of implementing it, and to Hans Kaper for encouraging us to work on this problem  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-57499-9_17">doi:10.1007/3-540-57499-9_17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nqlwgkfknvcy7jet6auht6wvhi">fatcat:nqlwgkfknvcy7jet6auht6wvhi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181030073357/https://link.springer.com/content/pdf/10.1007%2F3-540-57499-9_17.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/63/94/6394102ef434f2986fba71dc71be78d1da802b3e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/3-540-57499-9_17"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Scalable Software Libraries and Problem Solving Environments [chapter]

John R. Rice, Ronald F. Boisvert
<span title="">2000</span> <i title="Springer US"> Enabling Technologies for Computational Science </i> &nbsp;
A few application areas (e.g., linear algebra) have a rather simple structure for a software library and a very widely known language (mathematics) to usc as the basis for a PSE (e.g" MATLAB).  ...  The workshop focused on partial differential equations (PDE) based applications and closely related areas for its examples.  ...  Yet the matrices in POE problems have very special properties (e.g., a direct connection to geometry) that may be irrelevant in other applications.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-1-4615-4541-5_3">doi:10.1007/978-1-4615-4541-5_3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5zcsqtl3urc3zgnxbj5wfwyun4">fatcat:5zcsqtl3urc3zgnxbj5wfwyun4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200323095808/https://docs.lib.purdue.edu/cgi/viewcontent.cgi?article=2256&amp;context=cstech" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/7e/78/7e78d56bf901a7e4e67b117770a35cca9e670cf5.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-1-4615-4541-5_3"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Deep Multiscale Model Learning [article]

Yating Wang, Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev, Min Wang
<span title="2018-06-13">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Our approaches use deep learning concepts combined with local multiscale model reduction methodologies to predict flow dynamics.  ...  We will rely on rigorous model reduction concepts to define unknowns and connections for each layer.  ...  F can have a multiscale dependence with respect to space and time. The coarse-grid equation for (1) can have a complicated form for many problems (cf. [16] ).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1806.04830v1">arXiv:1806.04830v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/i2zynb7lubevdlsusdpdneiwxe">fatcat:i2zynb7lubevdlsusdpdneiwxe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200912014725/https://arxiv.org/pdf/1806.04830v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3e/69/3e692c9dfe2f8c0f9b13b85a09b93297712d3f7a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1806.04830v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Level Set Methods and Their Applications in Image Science

Stanley Osher, Richard Tsai
<span title="">2003</span> <i title="International Press of Boston"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/daz3uyackncjrc6w57f6bd2b5a" style="color: black;">Communications in Mathematical Sciences</a> </i> &nbsp;
In typical PDE methods, images are assumed to be continuous functions sampled on a grid.  ...  Finally, in section five, we describe some new techniques developed in the level set community as our prospectus for the future.  ...  The authors thank Li-Tien Cheng, Frédéric Gibou, Jackie Shen, and Luminita Vese for providing their results for this paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4310/cms.2003.v1.n4.a1">doi:10.4310/cms.2003.v1.n4.a1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gzakutvkurd63kbauo6xtttb6e">fatcat:gzakutvkurd63kbauo6xtttb6e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070418103026/http://www.math.umn.edu/~jhshen/gogo/inpaintingM.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/40/65/4065956328f355987546021d344ded5b87d0d282.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4310/cms.2003.v1.n4.a1"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Assessment of the MUSTA approach for numerical relativistic hydrodynamics

P. M. Blakely, N. Nikiforakis, W. D. Henshaw
<span title="">2015</span> <i title="EDP Sciences"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hn2qalwlofhybedfhzkh4ogcn4" style="color: black;">Astronomy and Astrophysics</a> </i> &nbsp;
The scheme is further validated on a number of problems involving complex geometries with overlapping grids.  ...  In order to treat complex geometries, we use multiple overlapping grids which allow the capturing of complex geometries while retaining the efficiencies associated with structured grids. Results.  ...  The authors would like to thank Eleuterio Toro for comments on the implementation of the MUSTA approach.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1051/0004-6361/201425182">doi:10.1051/0004-6361/201425182</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jwm4q5uk6rcmthgjwlgeobhzxa">fatcat:jwm4q5uk6rcmthgjwlgeobhzxa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180725234628/https://www.aanda.org/articles/aa/pdf/2015/03/aa25182-14.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a0/a6/a0a641ba5d8bd3771b82e61ce2e72caefe88dfeb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1051/0004-6361/201425182"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>
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