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Super linear speedup in a local parallel meshless solution of thermo-fluid problems

G. Kosec, M. Depolli, A. Rashkovska, R. Trobec
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p7fa4wxljnhvfhetzg3sx6xwze" style="color: black;">Computers &amp; structures</a> </i> &nbsp;
The performance of the parallel implementation of the local meshless numerical method in solving system of coupled partial differential equations is explored.  ...  Presented numerical approach makes the computation convenient for parallel implementation using OpenMP based parallelization.  ...  Solution procedure In this work, we focus on a local meshless numerical method with a local pressure-velocity coupling.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compstruc.2013.11.016">doi:10.1016/j.compstruc.2013.11.016</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7p2pkb2tqzfuva62ooskq6l6ni">fatcat:7p2pkb2tqzfuva62ooskq6l6ni</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170808215616/http://e6.ijs.si/~gkosec/data/papers/27339815.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/f0/03/f0038eb728286cc42ca4a1f4507b2efaf9eef922.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.compstruc.2013.11.016"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Numerical solution of the two-phase incompressible Navier–Stokes equations using a GPU-accelerated meshless method

Jesse M. Kelly, Eduardo A. Divo, Alain J. Kassab
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ty65cqdunvgk7jrfwrjnsr3e44" style="color: black;">Engineering analysis with boundary elements</a> </i> &nbsp;
The solver uses a variant of the Generalized Finite Difference Meshless Method presented by Gerace et al. [1]. The Level Set Method [2] is used for capturing the fluid interface.  ...  Through the combined use of GPU-acceleration and a radial-basis function (RBF) collocation meshless method, this project seeks to address the issue of speed in computational fluid dynamics.  ...  for a mesh altogether by using a meshless method.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.enganabound.2013.11.015">doi:10.1016/j.enganabound.2013.11.015</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/62gziywzhbd3nfjctbuznqi4f4">fatcat:62gziywzhbd3nfjctbuznqi4f4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190430051537/https://stars.library.ucf.edu/cgi/viewcontent.cgi?article=1898&amp;context=honorstheses1990-2015" 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/17/e5/17e5f2f3d438e29e1af73d7a17a3df49101a0e67.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.enganabound.2013.11.015"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

An Efficient Semi-Lagrangian Algorithm for Simulation of Corona Discharges: The Position-State Separation Method

Lipeng Liu, Marley Becerra
<span title="">2016</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vwv6yznmaneepdm4762efhlbaa" style="color: black;">IEEE Transactions on Plasma Science</a> </i> &nbsp;
The proposed solution method combines an Eulerian scheme for the solution of the convective acceleration, the diffusion and the reaction subproblems, and a Lagrangian scheme for the solution of the linear  ...  The algorithm referred to as the position-state separation method (POSS) is used to solve convection-dominated continuity equations commonly present in corona discharges modelling.  ...  In this paper, a scheme based on the method of characteristics is used to obtain the exact transport of the variable by using as initial value the solution of the state problem * at each time step.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tps.2016.2609504">doi:10.1109/tps.2016.2609504</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bsopjijo4bd2fp2tt3as2lhyaq">fatcat:bsopjijo4bd2fp2tt3as2lhyaq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191016121427/https://arxiv.org/pdf/1503.03965v3.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/12/38/1238e8a2bc7da3fa067e007c39f82e8e193a8edb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tps.2016.2609504"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

A computational study of turbulent flow separation for a circular cylinder using skin friction boundary conditions [chapter]

Johan Hoffman, Niclas Jansson
<span title="">2011</span> <i title="Springer Netherlands"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/g3csodoczva5nkbpaz5wdq6o7e" style="color: black;">ERCOFTAC Series</a> </i> &nbsp;
However, after more than thirty years of worldwide research efforts around Adaptive Modeling and Simulation, the problem of properly assessing and controlling the quality of the numerical solutions is  ...  to cutting edge problems and formulations, such as the determination of guaranteed error bounds and adaptive strategies for non-linear, transient or coupled problems, the application of adaptive techniques  ...  of the Extended Abstracts and Full Contributions, and the organization of ADMOS 2013, VI International Conference on Adaptive Modeling and Simulation: Acknowledgments The authors thank the financial  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-94-007-0231-8_5">doi:10.1007/978-94-007-0231-8_5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/f6ll6iawcbeo7pbj4rb7t4o2tq">fatcat:f6ll6iawcbeo7pbj4rb7t4o2tq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170818082812/http://upcommons.upc.edu/bitstream/handle/2117/22099/ADMOS_2013_EBOOK_ABSTRACTS_PROCEEDINGS.pdf?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/0c/af/0cafaa9ec09264c72a7b7678fcc950343a9b1983.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-94-007-0231-8_5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Parallel Implementation of Vortex Element Method on CPUs and GPUs

Kseniia Kuzmina, Ilia Marchevsky, Victoriya Moreva
<span title="">2015</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cx3f4s3qmfe6bg4qvuy2cxezyu" style="color: black;">Procedia Computer Science</a> </i> &nbsp;
The implementations of 2D vortex element method adapted to different types of parallel computers are considered.  ...  Approximate fast multipole method usage reduces time of computations significantly: 11 times for the testmodel problem in sequential mode and 3.5 times in parallel mode for 16-cores cluster.  ...  If the region of non-zero vorticity is relatively small (for example, in simulations of the external flows), meshless Lagrangian vortex methods can be very efficient: in 2D problems -the Method of Discrete  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.procs.2015.11.010">doi:10.1016/j.procs.2015.11.010</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fh7kgohad5cujatnjzueroxir4">fatcat:fh7kgohad5cujatnjzueroxir4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170930160903/http://publisher-connector.core.ac.uk/resourcesync/data/elsevier/pdf/921/aHR0cDovL2FwaS5lbHNldmllci5jb20vY29udGVudC9hcnRpY2xlL3BpaS9zMTg3NzA1MDkxNTAzMzU5MQ%3D%3D.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/ca/e4/cae45aab8cfe0e140e2e2c93adb7cec00e6b065e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.procs.2015.11.010"> <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>

Improved MPS method and its variations for simulating incompressible fluids on GPU

André Luiz Buarque Vieira-e-Silva, Caio Brito, Mozart William Almeida, Veronica Teichrieb
<span title="2018-08-29">2018</span> <i title="Sociedade Brasileira de Computacao - SB"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/vw76rktznrddzmwlf4llqlasba" style="color: black;">Journal of Interactive Systems</a> </i> &nbsp;
Due to these works, it has proved to be very useful in a wide range of naval and mechanical engineering problems.  ...  A well known meshless method is the Moving Particle Semi-implicit (MPS) method, which was designed to simulate free-surface truly incompressible fluid flows.  ...  ACKNOWLEDGMENT The present work was supported by the CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico -Brasil (National Council of Scientific and Technological Development -Brazil).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5753/jis.2018.701">doi:10.5753/jis.2018.701</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/sa2rk7vefrhavaydkxiupzawkq">fatcat:sa2rk7vefrhavaydkxiupzawkq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201111224627/https://sol.sbc.org.br/journals/index.php/jis/article/download/701/696" 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/97/58/9758c8870164c57680bf186875f7869d51a6de7d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5753/jis.2018.701"> <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>

Reactive Flows in Deformable, Complex Media

Margot Gerritsen, Jan Martin Nordbotten, Iuliu Sorin Pop, Barbara Wohlmuth
<span title="">2014</span> <i title="European Mathematical Publishing House"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/mnv35em3uvgxdkcbx2cvykhugu" style="color: black;">Oberwolfach Reports</a> </i> &nbsp;
The focus in this workshop was on novel techniques and ideas in the mathematical modelling, analysis, the numerical discretization and the upscaling of problems as described above.  ...  Such kind of problems are encountered as mathematical models in the subsurface, material science, or biological systems.The emerging mathematical models account for various processes at different scales  ...  (Extended) Finite Element Methods [3] are used for the evaluation of the cell problems and the transport equation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4171/owr/2014/43">doi:10.4171/owr/2014/43</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cxkazxwlwnaqnmxamofkkhdnru">fatcat:cxkazxwlwnaqnmxamofkkhdnru</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200309051919/https://www.mfo.de/document/1835/OWR_2018_39.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/d9/06/d9067059f62d21e5ef5438aaa253086ce4d86d70.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.4171/owr/2014/43"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Meshless techniques for anisotropic diffusion

Annamaria Mazzia, Giorgio Pini, Flavio Sartoretto
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xkk23xlywfez5l246cnmlit4qq" style="color: black;">Applied Mathematics and Computation</a> </i> &nbsp;
The latter would allow better use of parallel computers, since time-stepping is essentially a serial process. Moreover, it would be good for the methods to be of high order accuracy.  ...  Our objective is to simulate transport processes over very long time periods, as needed in, e.g., the simulation of geologic carbon sequestration.  ...  We show how to solve the equations using a global implicit approach in an efficient way, and we present the derived computational results.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.amc.2014.03.032">doi:10.1016/j.amc.2014.03.032</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/c527226gyfgbffnq4p67qxd7wi">fatcat:c527226gyfgbffnq4p67qxd7wi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180721235820/https://archive.siam.org/meetings/gs13/gs13_abstracts.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/73/5a/735a36ebd6e2272a87325f3146a078c430812c4c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.amc.2014.03.032"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Numerical Stabilization of the Melt Front for Laser Beam Cutting [chapter]

Torsten Adolph, Willi Schönauer, Markus Niessen, Wolfgang Schulz
<span title="">2010</span> <i title="Springer Berlin Heidelberg"> Numerical Mathematics and Advanced Applications 2009 </i> &nbsp;
The solution is obtained by means of Finite Element Method (FEM).  ...  We present computational studies of the given problem.  ...  Meshless schemes based on collocation of radial basis functions (RBFs) are a new class of numerical methods for the solution of PDEs.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-11795-4_6">doi:10.1007/978-3-642-11795-4_6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nx4nvuxaxfbcdjknopny53ck5e">fatcat:nx4nvuxaxfbcdjknopny53ck5e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180721182541/http://www.it.uu.se/research/tdb/enumath2009/final/enumath_abstracts.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/4c/34/4c343b1ce275f64d03689c4505c2c1011604403d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-11795-4_6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Physics and Equality Constrained Artificial Neural Networks: Application to Forward and Inverse Problems with Multi-fidelity Data Fusion [article]

Shamsulhaq Basir, Inanc Senocak
<span title="2022-02-27">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
To address these limitations, we propose a versatile framework based on a constrained optimization problem formulation, where we use the augmented Lagrangian method (ALM) to constrain the solution of a  ...  Physics-informed neural networks (PINNs) have been proposed to learn the solution of partial differential equations (PDE).  ...  Additional Examples Here, we present two additional PDE problems to further demonstrate the efficacy and versatility of our PECANN model.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2109.14860v3">arXiv:2109.14860v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/w5g2sf4sbfhubcmwgvgib674l4">fatcat:w5g2sf4sbfhubcmwgvgib674l4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20211003115742/https://arxiv.org/pdf/2109.14860v1.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f6/6d/f66d4b6f6ec5d8bf20ab5cb2738d14af2defa149.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2109.14860v3" 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>

Particle methods in ocean and coastal engineering

Min Luo, Abbas Khayyer, Pengzhi Lin
<span title="">2021</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ozucfawntjetjmlxthncvh2sau" style="color: black;">Applied Ocean Research</a> </i> &nbsp;
A B S T R A C T This paper aims at providing a state-of-the-art review on the applications of particle methods in hydrodynamicsrelated problems in ocean and coastal engineering.  ...  Finally, the future perspectives of extending particle methods to a wider range of ocean and coastal engineering applications are highlighted.  ...  Songdong Shao (Dongguan Univ. of Technology), Prof.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apor.2021.102734">doi:10.1016/j.apor.2021.102734</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zml2qoznzvd7biczysqzqfe2am">fatcat:zml2qoznzvd7biczysqzqfe2am</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210806093034/https://pdf.sciencedirectassets.com/271423/1-s2.0-S0141118721X00089/1-s2.0-S014111872100211X/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEEAaCXVzLWVhc3QtMSJIMEYCIQCAmVCkcEg5G2uSFQnxPLTapgyvq4qY7Rog3k8BBlvyGQIhAJZ0u1krMnDLvJsOeReB2%2BdwjvM00Kk0T%2B3g7FSMVBYeKvoDCFkQBBoMMDU5MDAzNTQ2ODY1Igw3t3nDq2WN7vyEDt8q1wPFmkyNKlnJKrg8nLNtfqOLuPSPnsh8ms4SUPNDN%2F9ViaA6fqNf87zuCQ6GyUcLSXcfmLS9BTkUrjsUTQSN1NEZrdz32FRs8EoTzs7D9rs4KZnJtg%2Fld6HR0g%2BLYCP%2BOR0hvEHcos16rekiOnPgEVsTWs%2FM%2BQNeqN86PGDfvgzQpIljNxhEELfcQYhyYujZGTJn3LiORpO%2BPNNDt%2FQMFvLQSs2WVSOqC%2FaczJ4P3c7O%2Fzhxymqe8gBx5A8J9q1%2Bv3RIU2SgYDwlEZnVg%2FXImVYe6eDcLB70tXS1yEjQMbpFvHZw%2B5YT5cRWvCSdsAcwlTDRFFqeOm%2BqHli3i587H0v%2F1ZOxlgQEuBWcjlB%2BJ8QLDfdoY5SbSomqeRlK%2BxQnFwvAgdRkUPCG6o%2BAy1kve13V3ttdb73N9B79tlM5N7r1CHbi0yrPbvnn6iqBip9vhqAhJ442gCFtKAhGhCg8%2BEMu2vMdjeI0KVXj3%2BUbfH5e%2FaAogRJ7U%2FBnYMrjtuLz4U2c6EUujoBgDx88Of3Sx1lg3Or%2BushjYFBUvSJbFy60%2FpgFC6ykfP%2FTXX6ET11iYk%2FRGmwMaaZSMgjTFDxYCKqMYCivtIqF36q6Q6MzMjWCvgkwsvHS0bwwydmziAY6pAH0z9GKFWNdAomwyXuQThYr8tciVL8IV1AvIDuZhkphaLo%2F9%2Fr%2FYto7MzHT2R4lJ7xjq7b%2FORYOVQlo47rMe2QBepJuMJQDPHFzycc2F1XxXMDYYXhghdJjqCL%2BywJ2d8sB5ljaYXgulmme8RFpgZpx44wTV2g%2FQa4iTHmEDRb12tJnR4UhDJlnB8beUACmITjCcEoc43sitAZjvikEQwrOVXLLVw%3D%3D&amp;X-Amz-Algorithm=AWS4-HMAC-SHA256&amp;X-Amz-Date=20210806T093018Z&amp;X-Amz-SignedHeaders=host&amp;X-Amz-Expires=300&amp;X-Amz-Credential=ASIAQ3PHCVTYYPPTIP5J%2F20210806%2Fus-east-1%2Fs3%2Faws4_request&amp;X-Amz-Signature=acee1a330d52f249c2d2a86bd51c232308493cc17a05c337f9d7210bf813c0f5&amp;hash=3f747cbac782085d137dcb2249041c356ed6be0192f474aed33980c198fd62f2&amp;host=68042c943591013ac2b2430a89b270f6af2c76d8dfd086a07176afe7c76c2c61&amp;pii=S014111872100211X&amp;tid=spdf-1fceb219-6cc0-48e9-bb45-8c32e8ebc1d7&amp;sid=b967992693a3c743f968c8c436bc819bf213gxrqa&amp;type=client" 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/05/0c/050c4a7792e95a8d292908b3eb12ad07184197da.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.apor.2021.102734"> <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>

Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next [article]

Salvatore Cuomo, Vincenzo Schiano di Cola, Fabio Giampaolo, Gianluigi Rozza, Maziar Raissi, Francesco Piccialli
<span title="2022-02-13">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Despite the wide range of applications for which PINNs have been used, by demonstrating their ability to be more feasible in some contexts than classical numerical techniques like Finite Element Method  ...  This article provides a comprehensive review of the literature on PINNs: while the primary goal of the study was to characterize these networks and their related advantages and disadvantages, the review  ...  Amini Niaki et al (2021) propose a PINN composed of two disconnected subnetworks and the use of a sequential training algorithm that automatically adapts the weights in the loss, hence increasing the model's  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2201.05624v3">arXiv:2201.05624v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/elmdoax7ongblim3cbvkj2pdxi">fatcat:elmdoax7ongblim3cbvkj2pdxi</a> </span>
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Particle and streamline numerical methods for conservative and reactive transport simulations in porous media [article]

Paulo Andres Ricci Herrera
<span title="">2009</span>
Second, a hybrid scheme that combines some of the advantages of streamline-based simulations and meshless methods and that allows simulating longitudinal and transverse dispersion without requiring a background  ...  First, the derivation of a new meshless approximation based on smoothed particle hydrodynamics (SPH) to simulate conservative multidimensional solute transport, including advection and anisotropic dispersion  ...  Lagrangian Numerical Methods Meshless Methods Kernel interpolation methods simulate mass transport using a collection of particles that move according to the velocity field and carry and exchange solute  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.14288/1.0053008">doi:10.14288/1.0053008</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/g2plxajtvfcadjf3cnp3e2ogau">fatcat:g2plxajtvfcadjf3cnp3e2ogau</a> </span>
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SIMCor. Deliverable 4.4: Guidelines for documentation (IIB, M12)

Michael Stiehm, Jan Brüning, Raphaëlle Lesage, Thomas Czypionka, Jan Oldenburg, Wouter Huberts, Malte Rolf-Pissarczyk, Luther; Torsten, Bernard Staumont, Liesbet Geris
<span title="2021-12-23">2021</span> <i title="Zenodo"> Zenodo </i> &nbsp;
International Council for Harmonization of Technical Requirements for Pharmaceuticals for Human Use (ICH).  ...  In addition, even though they are not specific to human health and health products, recommendations from NASA have also been accounted for as they provide a high-quality framework for CM&S in potentially  ...  In the following section we assume mesh-based methods to be used. However, most aspects will also be relevant for the specification of meshless methods, as for example Smooth Particle Hydrodynamics.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5281/zenodo.6150905">doi:10.5281/zenodo.6150905</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ed4ut77qsbgufgl4r4frbwnyma">fatcat:ed4ut77qsbgufgl4r4frbwnyma</a> </span>
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Scientific Program

<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/erpdc3ia5jh7vn5ulwxfvofwcq" style="color: black;">Procedia IUTAM</a> </i> &nbsp;
FS02-022 Takahiro Saitoh * , Fumika Chikazawa, Sohichi Hirose, Japan Stress analysis of multilayered coating systems using a new meshless boundary collocation method FS02-024 Yan Gu * , Wen Chen, China  ...  Spontaneous propagation of self-assembly in a continuum medium SM17-011 Zhouzhou Zhao * , Wei Lu, USA Existence of traveling wave solutions for an initial value problem of piezo-viscoelasticity  ...  Thickness-shear vibrations of rectangular plates with free edges by the extended kantorovich method FS07-019 Ji  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.piutam.2014.01.011">doi:10.1016/j.piutam.2014.01.011</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/osy4egnuufdophopfpj75e24jm">fatcat:osy4egnuufdophopfpj75e24jm</a> </span>
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