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<dblpperson name="Jayadeep Gopalakrishnan" pid="80/476" n="77">
<person key="homepages/80/476" mdate="2019-12-16">
<author pid="80/476">Jayadeep Gopalakrishnan</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<note type="affiliation">Portland State University, USA</note>
<url>http://web.pdx.edu/~gjay/</url>
<url>https://orcid.org/0000-0001-7508-3232</url>
<url>https://www.wikidata.org/entity/Q78422410</url>
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<r><article publtype="informal" key="journals/corr/abs-2601-08051" mdate="2026-02-16">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="372/6838">Gabriel Pinochet-Soto</author>
<title>Reliable eigenspace error estimation using source error estimators.</title>
<year>2026</year>
<month>January</month>
<volume>abs/2601.08051</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2601.08051</ee>
<url>db/journals/corr/corr2601.html#abs-2601-08051</url>
<stream>streams/journals/corr</stream>
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</r>
<r><article key="journals/actanum/DemkowiczG25" mdate="2025-08-05">
<author pid="d/LeszekFDemkowicz">Leszek F. Demkowicz</author>
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<title>The discontinuous Petrov-Galerkin method.</title>
<pages>293-384</pages>
<year>2025</year>
<volume>34</volume>
<journal>Acta Numer.</journal>
<ee>https://doi.org/10.1017/s0962492924000102</ee>
<url>db/journals/actanum/actanum34.html#DemkowiczG25</url>
<stream>streams/journals/actanum</stream>
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<r><article key="journals/siamsc/GopalakrishnanGPV25" mdate="2025-03-03">
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-9517-5107" pid="144/7629">Jacob Grosek</author>
<author orcid="0009-0008-0626-8194" pid="372/6838">Gabriel Pinochet-Soto</author>
<author pid="291/4578">Pieter Vandenberge</author>
<title>Adaptive Resolution of Fine Scales in Modes of Microstructured Optical Fibers.</title>
<pages>108-</pages>
<year>2025</year>
<volume>47</volume>
<journal>SIAM J. Sci. Comput.</journal>
<number>1</number>
<ee>https://doi.org/10.1137/24m1651605</ee>
<url>db/journals/siamsc/siamsc47.html#GopalakrishnanGPV25</url>
<stream>streams/journals/siamsc</stream>
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</r>
<r><article publtype="informal" key="journals/corr/abs-2506-03276" mdate="2025-07-14">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="244/9570">Michael Neunteufel</author>
<title>Guided modes of helical waveguides.</title>
<year>2025</year>
<month>June</month>
<volume>abs/2506.03276</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2506.03276</ee>
<url>db/journals/corr/corr2506.html#abs-2506-03276</url>
<stream>streams/journals/corr</stream>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2506-18773" mdate="2025-07-11">
<author pid="410/5326">Pablo Cort&#233;s Castillo</author>
<author pid="d/WolfgangDahmen">Wolfgang Dahmen</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<title>DPG loss functions for learning parameter-to-solution maps by neural networks.</title>
<year>2025</year>
<month>June</month>
<volume>abs/2506.18773</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2506.18773</ee>
<url>db/journals/corr/corr2506.html#abs-2506-18773</url>
<stream>streams/journals/corr</stream>
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</r>
<r><article publtype="informal" key="journals/corr/abs-2511-01703" mdate="2025-11-20">
<author pid="251/5658">Vesa Kaarnioja</author>
<author pid="50/9858">Andreas Rupp</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<title>Sufficient conditions for QMC analysis of finite elements for parametric differential equations.</title>
<year>2025</year>
<month>November</month>
<volume>abs/2511.01703</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2511.01703</ee>
<url>db/journals/corr/corr2511.html#abs-2511-01703</url>
<stream>streams/journals/corr</stream>
</article>
</r>
<r><article key="journals/nm/ChristiansenGGH24" mdate="2024-02-20">
<author pid="76/4096">Snorre H. Christiansen</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="62/7607">Johnny Guzm&#225;n</author>
<author pid="181/0443">Kaibo Hu</author>
<title>A discrete elasticity complex on three-dimensional Alfeld splits.</title>
<pages>159-204</pages>
<year>2024</year>
<month>February</month>
<volume>156</volume>
<journal>Numerische Mathematik</journal>
<number>1</number>
<ee>https://doi.org/10.1007/s00211-023-01381-9</ee>
<url>db/journals/nm/nm156.html#ChristiansenGGH24</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2401-12734" mdate="2025-03-03">
<author pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-7039-387X" pid="244/9570">Michael Neunteufel</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="38/943">Max Wardetzky</author>
<title>On the improved convergence of lifted distributional Gauss curvature from Regge elements.</title>
<year>2024</year>
<volume>abs/2401.12734</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2401.12734</ee>
<url>db/journals/corr/corr2401.html#abs-2401-12734</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2403-13189" mdate="2024-04-08">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="62/7607">Johnny Guzm&#225;n</author>
<author pid="157/3653">Jeonghun J. Lee</author>
<title>The Johnson-Mercier elasticity element in any dimensions.</title>
<year>2024</year>
<volume>abs/2403.13189</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2403.13189</ee>
<url>db/journals/corr/corr2403.html#abs-2403-13189</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2403-19485" mdate="2024-04-10">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="144/7629">Jacob Grosek</author>
<author pid="372/6838">Gabriel Pinochet-Soto</author>
<author pid="291/4578">Pieter Vandenberge</author>
<title>Adaptive resolution of fine scales in modes of microstructured optical fibers.</title>
<year>2024</year>
<volume>abs/2403.19485</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2403.19485</ee>
<url>db/journals/corr/corr2403.html#abs-2403-19485</url>
</article>
</r>
<r><article key="journals/jscic/GopalakrishnanKLS23" mdate="2025-03-03">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="279/6419">Lukas Kogler</author>
<author orcid="0000-0003-1875-7442" pid="202/4144">Philip L. Lederer</author>
<author orcid="0000-0002-1250-5087" pid="04/9301">Joachim Sch&#246;berl</author>
<title>Divergence-Conforming Velocity and Vorticity Approximations for Incompressible Fluids Obtained with Minimal Facet Coupling.</title>
<pages>91</pages>
<year>2023</year>
<month>June</month>
<volume>95</volume>
<journal>J. Sci. Comput.</journal>
<number>3</number>
<ee type="oa">https://doi.org/10.1007/s10915-023-02203-8</ee>
<url>db/journals/jscic/jscic95.html#GopalakrishnanKLS23</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2302-08598" mdate="2023-02-23">
<author pid="319/2782">Sining Gong</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="62/7607">Johnny Guzm&#225;n</author>
<author pid="20/7121">Michael Neilan</author>
<title>Discrete Elasticity Exact Sequences on Worsey-Farin splits.</title>
<year>2023</year>
<volume>abs/2302.08598</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2302.08598</ee>
<url>db/journals/corr/corr2302.html#abs-2302-08598</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2310-08814" mdate="2023-10-26">
<author pid="359/1485">Tamara Gratcheva</author>
<author pid="124/0336">Yogesh N. Joglekar</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<title>PT-symmetry enabled stable modes in multi-core fiber.</title>
<year>2023</year>
<volume>abs/2310.08814</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2310.08814</ee>
<url>db/journals/corr/corr2310.html#abs-2310-08814</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2311-01603" mdate="2025-03-03">
<author pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-7039-387X" pid="244/9570">Michael Neunteufel</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="38/943">Max Wardetzky</author>
<title>Analysis of distributional Riemann curvature tensor in any dimension.</title>
<year>2023</year>
<volume>abs/2311.01603</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2311.01603</ee>
<url>db/journals/corr/corr2311.html#abs-2311-01603</url>
</article>
</r>
<r><article key="journals/moc/DrakeGSW22" mdate="2025-03-03">
<author pid="211/3257">Dow Drake</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-1250-5087" pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="217/2754">Christoph Wintersteiger</author>
<title>Convergence analysis of some tent-based schemes for linear hyperbolic systems.</title>
<pages>699-733</pages>
<year>2022</year>
<volume>91</volume>
<journal>Math. Comput.</journal>
<number>334</number>
<ee>https://doi.org/10.1090/mcom/3686</ee>
<ee>https://www.wikidata.org/entity/Q115546307</ee>
<url>db/journals/moc/moc91.html#DrakeGSW22</url>
</article>
</r>
<r><article key="journals/moc/GopalakrishnanS22" mdate="2025-01-15">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="36/2849-4">Zheng Sun 0004</author>
<title>Stability of structure-aware Taylor methods for tents.</title>
<pages>1061-1086</pages>
<year>2022</year>
<month>November</month>
<volume>92</volume>
<journal>Math. Comput.</journal>
<number>341</number>
<ee>https://doi.org/10.1090/mcom/3811</ee>
<url>db/journals/moc/moc92.html#GopalakrishnanS22</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2203-05176" mdate="2025-01-15">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="36/2849-4">Zheng Sun 0004</author>
<title>Stability of structure-aware Taylor methods for tents.</title>
<year>2022</year>
<volume>abs/2203.05176</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2203.05176</ee>
<url>db/journals/corr/corr2203.html#abs-2203-05176</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2206-09343" mdate="2025-03-03">
<author pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-7039-387X" pid="244/9570">Michael Neunteufel</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="38/943">Max Wardetzky</author>
<title>Analysis of curvature approximations via covariant curl and incompatibility for Regge metrics.</title>
<year>2022</year>
<volume>abs/2206.09343</volume>
<journal>CoRR</journal>
<ee type="oa">https://doi.org/10.48550/arXiv.2206.09343</ee>
<url>db/journals/corr/corr2206.html#abs-2206-09343</url>
</article>
</r>
<r><article key="journals/cma/BertrandDG21" mdate="2022-04-09">
<author orcid="0000-0001-5111-5105" pid="146/3561">Fleurianne Bertrand</author>
<author pid="d/LeszekFDemkowicz">Leszek F. Demkowicz</author>
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<title>Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.</title>
<pages>1-3</pages>
<year>2021</year>
<volume>95</volume>
<journal>Comput. Math. Appl.</journal>
<ee>https://doi.org/10.1016/j.camwa.2021.05.029</ee>
<url>db/journals/cma/cma95.html#BertrandDG21</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2101-04798" mdate="2021-01-22">
<author pid="211/3257">Dow Drake</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="217/2754">Christoph Wintersteiger</author>
<title>Convergence analysis of some tent-based schemes for linear hyperbolic systems.</title>
<year>2021</year>
<volume>abs/2101.04798</volume>
<journal>CoRR</journal>
<ee type="oa">https://arxiv.org/abs/2101.04798</ee>
<url>db/journals/corr/corr2101.html#abs-2101-04798</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2104-13527" mdate="2021-05-04">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="291/4708">Benjamin Quanah Parker</author>
<author pid="291/4578">Pieter Vandenberge</author>
<title>Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems.</title>
<year>2021</year>
<volume>abs/2104.13527</volume>
<journal>CoRR</journal>
<ee type="oa">https://arxiv.org/abs/2104.13527</ee>
<url>db/journals/corr/corr2104.html#abs-2104-13527</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2112-00089" mdate="2021-12-07">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="279/6419">Lukas Kogler</author>
<author pid="202/4144">Philip L. Lederer</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<title>Minimal order H(div)-conforming velocity-vorticity approximations for incompressible fluids.</title>
<year>2021</year>
<volume>abs/2112.00089</volume>
<journal>CoRR</journal>
<ee type="oa">https://arxiv.org/abs/2112.00089</ee>
<url>db/journals/corr/corr2112.html#abs-2112-00089</url>
</article>
</r>
<r><article key="journals/cma/DemkowiczGK20" mdate="2020-05-22">
<author orcid="0000-0001-7839-8037" pid="d/LeszekFDemkowicz">Leszek F. Demkowicz</author>
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-6969-6857" pid="167/0447">Brendan Keith</author>
<title>The DPG-star method.</title>
<pages>3092-3116</pages>
<year>2020</year>
<volume>79</volume>
<journal>Comput. Math. Appl.</journal>
<number>11</number>
<ee>https://doi.org/10.1016/j.camwa.2020.01.012</ee>
<url>db/journals/cma/cma79.html#DemkowiczGK20</url>
</article>
</r>
<r><article key="journals/moc/GopalakrishnanG20" mdate="2025-01-19">
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-3370-9353" pid="46/9307">Luka Grubisic</author>
<author orcid="0000-0003-1944-2872" pid="33/2950">Jeffrey S. Ovall</author>
<title>Spectral discretization errors in filtered subspace iteration.</title>
<pages>203-228</pages>
<year>2020</year>
<volume>89</volume>
<journal>Math. Comput.</journal>
<number>321</number>
<ee>https://doi.org/10.1090/mcom/3483</ee>
<ee>https://www.wikidata.org/entity/Q127455496</ee>
<url>db/journals/moc/moc89.html#GopalakrishnanG20</url>
</article>
</r>
<r><article key="journals/siamnum/GopalakrishnanL20" mdate="2025-03-03">
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0003-1875-7442" pid="202/4144">Philip L. Lederer</author>
<author orcid="0000-0002-1250-5087" pid="04/9301">Joachim Sch&#246;berl</author>
<title>A Mass Conserving Mixed Stress Formulation for Stokes Flow with Weakly Imposed Stress Symmetry.</title>
<pages>706-732</pages>
<year>2020</year>
<volume>58</volume>
<journal>SIAM J. Numer. Anal.</journal>
<number>1</number>
<ee>https://doi.org/10.1137/19M1248960</ee>
<url>db/journals/siamnum/siamnum58.html#GopalakrishnanL20</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2002-12243" mdate="2020-03-03">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="217/2754">Christoph Wintersteiger</author>
<title>Structure aware Runge-Kutta time stepping for spacetime tents.</title>
<year>2020</year>
<volume>abs/2002.12243</volume>
<journal>CoRR</journal>
<ee type="oa">https://arxiv.org/abs/2002.12243</ee>
<url>db/journals/corr/corr2002.html#abs-2002-12243</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-2009-07744" mdate="2020-09-23">
<author pid="76/4096">Snorre H. Christiansen</author>
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="62/7607">Johnny Guzm&#225;n</author>
<author pid="181/0443">Kaibo Hu</author>
<title>A discrete elasticity complex on three-dimensional Alfeld splits.</title>
<year>2020</year>
<volume>abs/2009.07744</volume>
<journal>CoRR</journal>
<ee type="oa">https://arxiv.org/abs/2009.07744</ee>
<url>db/journals/corr/corr2009.html#abs-2009-07744</url>
</article>
</r>
<r><article key="journals/cmam/GopalakrishnanG19" mdate="2025-01-19">
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-3370-9353" pid="46/9307">Luka Grubisic</author>
<author orcid="0000-0003-1944-2872" pid="33/2950">Jeffrey S. Ovall</author>
<author orcid="0000-0001-7671-8607" pid="240/2399">Benjamin Parker</author>
<title>Analysis of FEAST Spectral Approximations Using the DPG Discretization.</title>
<pages>251-266</pages>
<year>2019</year>
<volume>19</volume>
<journal>Comput. Methods Appl. Math.</journal>
<number>2</number>
<ee>https://doi.org/10.1515/cmam-2019-0030</ee>
<ee>https://www.wikidata.org/entity/Q128136366</ee>
<url>db/journals/cmam/cmam19.html#GopalakrishnanG19</url>
</article>
</r>
<r><article key="journals/cmam/BertrandDGH19" mdate="2025-01-19">
<author orcid="0000-0001-5111-5105" pid="146/3561">Fleurianne Bertrand</author>
<author pid="d/LeszekFDemkowicz">Leszek F. Demkowicz</author>
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0002-5171-1457" pid="08/2350">Norbert Heuer</author>
<title>Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.</title>
<pages>395-397</pages>
<year>2019</year>
<volume>19</volume>
<journal>Comput. Methods Appl. Math.</journal>
<number>3</number>
<ee>https://doi.org/10.1515/cmam-2019-0097</ee>
<ee>https://www.wikidata.org/entity/Q127576016</ee>
<url>db/journals/cmam/cmam19.html#BertrandDGH19</url>
</article>
</r>
<r><article publtype="informal" key="journals/corr/abs-1906-11029" mdate="2019-06-27">
<author pid="80/476">Jay Gopalakrishnan</author>
<author pid="243/5906">Matthias Hochsteger</author>
<author pid="04/9301">Joachim Sch&#246;berl</author>
<author pid="217/2754">Christoph Wintersteiger</author>
<title>An Explicit Mapped Tent Pitching Scheme for Maxwell Equations.</title>
<year>2019</year>
<volume>abs/1906.11029</volume>
<journal>CoRR</journal>
<ee type="oa">http://arxiv.org/abs/1906.11029</ee>
<url>db/journals/corr/corr1906.html#abs-1906-11029</url>
</article>
</r>
<r><article key="journals/jscic/GopalakrishnanS18" mdate="2023-02-28">
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author orcid="0000-0001-8589-3685" pid="232/6019">Manuel E. Solano</author>
<author orcid="0000-0003-0914-3457" pid="116/9855">Felipe Vargas</author>
<title>Dispersion Analysis of HDG Methods.</title>
<pages>1703-1735</pages>
<year>2018</year>
<volume>77</volume>
<journal>J. Sci. Comput.</journal>
<number>3</number>
<ee>https://doi.org/10.1007/s10915-018-0781-z</ee>
<url>db/journals/jscic/jscic77.html#GopalakrishnanS18</url>
</article>
</r>
<r><article key="journals/siamnum/GopalakrishnanN18" mdate="2025-01-19">
<author orcid="0000-0001-7508-3232" pid="80/476">Jay Gopalakrishnan</author>
<author pid="135/0671">Martin Neum&#252;ller</author>
<author pid="v/PanayotVassilevski">Panayot S. Vassilevski</author>
<title>The Auxiliary Space Preconditioner for the de Rham Complex.</title>
<pages>3196-3218</pages>
<year>2018</year>
<volume>56</volume>
<journal>SIAM J. Numer. Anal.</journal>
<number>6</number>
<ee>https://doi.org/10.1137/17M1153376</ee>
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