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A Gaussian-like immersed-boundary kernel with three continuous derivatives and improved translational invariance

Yuanxun Bao, Jason Kaye, Charles S. Peskin
<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;
In this note, we present new 5-point and 6-point immersed-boundary kernels that are C^3 and yield a substantially improved translational invariance compared to other common IB kernels.  ...  IB kernels are derived from a set of postulates designed to achieve approximate grid translational invariance, interpolation accuracy and computational efficiency.  ...  We thank Aleksandar Donev for many enlightening discussions on this work, and in particular for his suggestion to use the nonzero second moment condition as a postulate of the new 6-point IB kernel.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2016.04.024">doi:10.1016/j.jcp.2016.04.024</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/nv3nw7ein5d75ftbssiklmdrue">fatcat:nv3nw7ein5d75ftbssiklmdrue</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180724055948/https://manuscript.elsevier.com/S0021999116300663/pdf/S0021999116300663.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/c4/ec/c4ec0ecadbc325aaaa37ead383e38dfdb99305ee.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.2016.04.024"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Brownian dynamics without Green's functions

Steven Delong, Florencio Balboa Usabiaga, Rafael Delgado-Buscalioni, Boyce E. Griffith, Aleksandar Donev
<span title="2014-04-07">2014</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hnc5ddfunnd3taca63uf5ggldm" style="color: black;">Journal of Chemical Physics</a> </i> &nbsp;
We develop a Fluctuating Immersed Boundary (FIB) method for performing Brownian dynamics simulations of confined particle suspensions.  ...  Through comparisons with analytical and existing computational results, we numerically demonstrate the ability of the FIB method to accurately capture both the static (equilibrium) and dynamic properties  ...  By using the Peskin four-point kernel instead of the three-point discrete kernel function the translational invariance of the spatial discretization can be improved, however, at a potentially significant  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.4869866">doi:10.1063/1.4869866</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/24712783">pmid:24712783</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4ajkcvn67rbzji3y52ijhrktue">fatcat:4ajkcvn67rbzji3y52ijhrktue</a> </span>
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A Discrete Ion Stochastic Continuum Overdamped Solvent Algorithm for Modeling Electrolytes [article]

Daniel R. Ladiges, Sean P. Carney, Andrew Nonaka, Katherine Klymko, Guy C. Moore, Alejandro L. Garcia, Sachin R. Natesh, Aleksandar Donev, John B. Bell
<span title="2021-03-23">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The methodology is an extension of the Fluctuating Immersed Boundary (FIB) approach that treats a solute as discrete Lagrangian particles that interact with Eulerian hydrodynamic and electrostatic fields  ...  Long range electrostatic interactions are computed by solving the Poisson equation, with short range corrections included using a novel immersed-boundary variant of the classical Particle-Particle Particle-Mesh  ...  ACKNOWLEDGEMENTS The authors thank Changho Kim for discussions regarding electrolyte chemistry, and Charles Peskin and Jonathan Goodman for discussions regarding the IB-P3M method.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2007.03036v5">arXiv:2007.03036v5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gt6b6i5i4vayzmly4qudo2qnii">fatcat:gt6b6i5i4vayzmly4qudo2qnii</a> </span>
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Immersed Methods for Fluid–Structure Interaction

Boyce E. Griffith, Neelesh A. Patankar
<span title="2019-09-05">2019</span> <i title="Annual Reviews"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2vgtdypqgzfnfmjizwftzs7e54" style="color: black;">Annual Review of Fluid Mechanics</a> </i> &nbsp;
These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures  ...  This article reviews immersed methods for both elastic structures and structures with prescribed kinematics.  ...  ACKNOWLEDGMENTS B.E.G. acknowledges research funding from NIH (National Institutes of Health) Awards R01HL117063 and U01HL143336 and NSF (National Science Foundation) Awards CBET  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1146/annurev-fluid-010719-060228">doi:10.1146/annurev-fluid-010719-060228</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/33012877">pmid:33012877</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC7531444/">pmcid:PMC7531444</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qa3aqmoibvhjxfy4x75kichxxm">fatcat:qa3aqmoibvhjxfy4x75kichxxm</a> </span>
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An enhanced Immersed Structural Potential Method for fluid–structure interaction

A.J. Gil, A. Arranz Carreño, J. Bonet, O. Hassan
<span title="">2013</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;
Second, the use of tensorised Gaussian quadrature rules that allow for accurate and efficient numerical integration of the immersed structural potential.  ...  Within the group of immersed boundary methods employed for the numerical simulation of fluid-structure interaction problems, the Immersed Structural Potential Method (ISPM) was recently introduced (Gil  ...  Acknowledgements This work was financially supported by the UK Engineering and Physical Sciences Research Council (EPSRC) through the Grant EP/F03010X, whose support is greatly acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2013.05.011">doi:10.1016/j.jcp.2013.05.011</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/22tgr33nk5g7lmpst5heyilfka">fatcat:22tgr33nk5g7lmpst5heyilfka</a> </span>
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On the Lagrangian-Eulerian Coupling in the Immersed Finite Element/Difference Method [article]

Jae H. Lee, Boyce E. Griffith
<span title="2022-01-07">2022</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The immersed boundary (IB) method is a non-body conforming approach to fluid-structure interaction (FSI) that uses an Eulerian description of the momentum, viscosity, and incompressibility of a coupled  ...  Integral transforms with Dirac delta function kernels couple Eulerian and Lagrangian variables.  ...  Kolahdouz, Ben Vadala-Roth, David Wells, and the reviewers for their constructive comments that improved the manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2105.14536v3">arXiv:2105.14536v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tfn3mgz2pjhitmchqlfi4pbqki">fatcat:tfn3mgz2pjhitmchqlfi4pbqki</a> </span>
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An Immersed Boundary method with divergence-free velocity interpolation and force spreading

Yuanxun Bao, Aleksandar Donev, Boyce E. Griffith, David M. McQueen, Charles S. Peskin
<span title="2017-06-28">2017</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;
The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous  ...  The Lagrangian and Eulerian frames are coupled by integral transforms with delta function kernels.  ...  , since its continuum solution has a continuous normal derivative of the tangential velocity across the immersed boundary.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2017.06.041">doi:10.1016/j.jcp.2017.06.041</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/31595090">pmid:31595090</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC6781881/">pmcid:PMC6781881</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/t6rfy77vsjflzfh2qaw2ld3naa">fatcat:t6rfy77vsjflzfh2qaw2ld3naa</a> </span>
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Gaussian multiplicative chaos and applications: a review [article]

Rémi Rhodes, Vincent Vargas
<span title="2013-05-27">2013</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
This review also includes new results like the convergence of discretized Liouville measures on isoradial graphs (thus including the triangle and square lattices) towards the continuous Liouville measures  ...  Also, we mention important extensions and generalizations of this theory that have emerged ever since and discuss a whole family of applications, ranging from finance, through the Kolmogorov-Obukhov model  ...  Special thanks are addressed to all those who read and suggested improvements of a prior draft of this manuscript: J. Barral, N. Curien and C. Garban.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1305.6221v1">arXiv:1305.6221v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vhnxt5w5cnecjdo3m7or2ix6fy">fatcat:vhnxt5w5cnecjdo3m7or2ix6fy</a> </span>
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Gaussian multiplicative chaos and applications: A review

Rémi Rhodes, Vincent Vargas
<span title="">2014</span> <i title="Institute of Mathematical Statistics"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ejjoglsjlzh2bguhfky7f2zofa" style="color: black;">Probability Surveys</a> </i> &nbsp;
This review also includes new results like the convergence of discretized Liouville measures on isoradial graphs (thus including the triangle and square lattices) towards the continuous Liouville measures  ...  Also, we mention important extensions and generalizations of this theory that have emerged ever since and discuss a whole family of applications, ranging from finance, through the Kolmogorov-Obukhov model  ...  Special thanks are addressed to all those who read and suggested improvements of a prior draft of this manuscript: J. Barral, N. Curien, C. Garban and P. Maillard.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1214/13-ps218">doi:10.1214/13-ps218</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/coe4gogb7re3lhrbydzl6sdlo4">fatcat:coe4gogb7re3lhrbydzl6sdlo4</a> </span>
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A Review of Vortex Methods and Their Applications: From Creation to Recent Advances

Chloé Mimeau, Iraj Mortazavi
<span title="2021-02-04">2021</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5bqnhgw7njc53i7otzqblwexk4" style="color: black;">Fluids</a> </i> &nbsp;
In the last three decades, the wide range of research works performed on these methods allowed us to highlight their robustness and accuracy while providing efficient computational algorithms and a solid  ...  The paper ends with a presentation of some challenging and very recent works based on Vortex methods and successfully applied to problems such as hydrodynamics, turbulent wake dynamics, sediment or porous  ...  Locally this kernel offers a third-order accurate scheme (although its global order is 2) and conserves the first three invariants when used in vortex methods (total circulation, linear impulse and angular  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/fluids6020068">doi:10.3390/fluids6020068</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/unqqtr7vcjea3nz7hjkxzv2gxm">fatcat:unqqtr7vcjea3nz7hjkxzv2gxm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210209160631/https://res.mdpi.com/d_attachment/fluids/fluids-06-00068/article_deploy/fluids-06-00068-v2.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/2b/51/2b5106f5e9e2bf8155ced02052979b466e7ed586.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/fluids6020068"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Modelling point spread function in fluorescence microscopy with a sparse Gaussian mixture: trade-off between accuracy and efficiency

Denis K. Samuylov, Prateek Purwar, Gabor Szekely, Gregory Paul
<span title="2019-02-11">2019</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/dhlhr4jqkbcmdbua2ca45o7kru" style="color: black;">IEEE Transactions on Image Processing</a> </i> &nbsp;
The number of Gaussian kernels controls both the modeling accuracy and the computational efficiency of the model: the lower the number of kernels, the lower the accuracy and the higher the efficiency.  ...  We derive an efficient algorithm based on a fully split formulation of alternating split Bregman.  ...  Chen and Y. Barral for sharing the orginal bead measurements. This work has been supported by the SystemsX.ch RTD Grant #2012/192 TubeX of the Swiss National Science Foundation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tip.2019.2898843">doi:10.1109/tip.2019.2898843</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30762548">pmid:30762548</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fq2j7ag46rhxdl4fqou5pnj2b4">fatcat:fq2j7ag46rhxdl4fqou5pnj2b4</a> </span>
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The February meeting in New Haven

R. D. Schafer
<span title="1957-05-01">1957</span> <i title="American Mathematical Society (AMS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hjoli2j6qffdpaalkszryuidk4" style="color: black;">Bulletin of the American Mathematical Society</a> </i> &nbsp;
Any function of n X» hermitian matrices with values in a partially ordered vector space, if it is convex and unitary-invariant, gives rise in an obvious way to a convex symmetric function of n real variables  ...  In a prime ring of characteristic not two, if d\ and à\ are derivations such that ^1(^2) is also a derivation, then d\ or a\ is zero. Theorem II.  ...  Let G be a bounded «-dimensional domain with closure G and boundary B of class C m .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1090/s0002-9904-1957-10100-1">doi:10.1090/s0002-9904-1957-10100-1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gx2pkxm52jbdpfchgxc2qnkzue">fatcat:gx2pkxm52jbdpfchgxc2qnkzue</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190502224114/https://www.ams.org/journals/bull/1957-63-03/S0002-9904-1957-10100-1/S0002-9904-1957-10100-1.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/ab/d2/abd210f2133c5a4672b54564dee9892244db734d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1090/s0002-9904-1957-10100-1"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy [chapter]

Xavier Pennec
<span title="">2009</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;
This computational framework is illustrated with the joint estimation and anisotropic smoothing of diffusion tensor images and with the modeling of the brain variability from sulcal lines.  ...  Computational anatomy is an emerging discipline that aims at analyzing and modeling the individual anatomy of organs and their biological variability across a population.  ...  Directional derivatives, gradient and Laplacian were estimated with a finite differences scheme like with scalar images (see [48, 49] for details).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-00826-9_16">doi:10.1007/978-3-642-00826-9_16</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/4uh5jtrktzb7danzt6y6aowyh4">fatcat:4uh5jtrktzb7danzt6y6aowyh4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809125408/http://www-sop.inria.fr/asclepios/Publications/Xavier.Pennec/Pennec_ETVC08.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/05/10/0510115691b562a6343920251e2499e8fb03b509.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-00826-9_16"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Hydrodynamics of suspensions of passive and active rigid particles: a rigid multiblob approach

Florencio Balboa Usabiaga, Bakytzhan Kallemov, Blaise Delmotte, Amneet Bhalla, Boyce Griffith, Aleksandar Donev
<span title="2016-12-31">2016</span> <i title="Mathematical Sciences Publishers"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ltbjfhhecfgodjsiczujshbchm" style="color: black;">Communications in Applied Mathematics and Computational Science</a> </i> &nbsp;
For unbounded suspensions and suspensions sedimented against a single no-slip boundary, we rely on existing analytical expressions for the Rotne-Prager tensor combined with a fast multipole method or a  ...  For fully confined domains, such as periodic suspensions or suspensions confined in slit and square channels, we extend a recently-developed rigid-body immersed boundary method to suspensions of freely-moving  ...  Acknowledgments We have benefited greatly from extended discussions with Leslie Greengard, James Swan,  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2140/camcos.2016.11.217">doi:10.2140/camcos.2016.11.217</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vgiuf4h4mvbo5jg6jsyqw4gguy">fatcat:vgiuf4h4mvbo5jg6jsyqw4gguy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180724080922/https://cloudfront.escholarship.org/dist/prd/content/qt1tt92276/qt1tt92276.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/f6/06/f606ac2a5cd5a5fc96c6458899f4077fcdbe410a.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2140/camcos.2016.11.217"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Currents and finite elements as tools for shape space [article]

James Benn, Stephen Marsland, Robert I McLachlan, Klas Modin, Olivier Verdier
<span title="2018-11-08">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper we study a general representation of shapes that is based on linear spaces and is suitable for numerical discretization, being robust to noise.  ...  We then provide a finite element discretization of the currents that is a practical computational tool for shapes. Finally, we demonstrate this approach on a variety of examples.  ...  Suppose further that the kernel is translation invariant, i.e., the representer for δ x takes the form x → K(x − x).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1702.02780v2">arXiv:1702.02780v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/elumg5mon5h4vofqk6tgdukioe">fatcat:elumg5mon5h4vofqk6tgdukioe</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200927154525/https://arxiv.org/pdf/1702.02780v2.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/f5/cf/f5cfbc9891a0ba71f52b887c4dcb1a73fbc722eb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1702.02780v2" 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>
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