{"id":262,"date":"2014-02-03T06:26:33","date_gmt":"2014-02-03T06:26:33","guid":{"rendered":"http:\/\/math.sk\/gbvp\/?page_id=262"},"modified":"2026-02-28T14:44:03","modified_gmt":"2026-02-28T14:44:03","slug":"selected-publications","status":"publish","type":"page","link":"https:\/\/www.math.sk\/gbvp\/selected-publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<p>List of selected publications of our team:<\/p>\n\n\n\n<p><strong>2025<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M. Mac\u00e1k,\u00a0Z. Minarechov\u00e1, R. \u010cunderl\u00edk,\u00a0K. Mikula. Global Gravity Field Modelling by\u00a0Solving the\u00a0Infinite Nonlinear Fixed Geodetic Boundary Value Problem. <em>Tatra Mountains Mathematical Publications<\/em>, Vol. 91, 3, pp. 129\u2013152 (2025). (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2026\/01\/TMMP_2025.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/www.mat.savba.sk\/ojs\/index.php\/TATRA\/issue\/view\/54\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>M. Mac\u00e1k, Z. Minarechov\u00e1, K. Mikula. Gravitational field modeling of irregularly shaped bodies by solving the coupled interior-exterior boundary value problem.\u00a0<em>Acta Geod Geophys<\/em>\u00a060, pp. 465\u2013480 (2025). (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2025\/12\/AGG_2025.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40328-025-00480-3\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>R. \u010cunderl\u00edk,&nbsp;M. Mac\u00e1k,&nbsp;M. Koll\u00e1r,&nbsp;Z. Minarechov\u00e1, K. Mikula. 3D high-resolution numerical modelling of altimetry-derived marine gravity data.&nbsp;<em>Journal of Geodesy, Vol. 99,<\/em> 33 (2025). (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2025\/04\/Joge_2025_2.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00190-025-01957-3\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>X. Li,&nbsp;R. \u010cunderl\u00edk,&nbsp;M. Mac\u00e1k,&nbsp;D. J. Caccamise II,&nbsp;Z. Minarechov\u00e1,&nbsp;P. Zahorec,&nbsp;J. Pap\u010do,&nbsp;D. R. Roman,&nbsp;J. Krcmaric,&nbsp;M. Lin. Finite volume method: a good match to airborne gravimetry?&nbsp;<em>Journal of Geodesy<\/em>, Vol. 99,&nbsp;4 (2025). (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2024\/12\/Joge_2025.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00190-024-01922-6\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2024<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M.Mac\u00e1k, K.Mikula, Z.Minarechov\u00e1, R.\u010cunderl\u00edk. Solving the gradiometric boundary value problem by the finite element method.&nbsp;<em>&nbsp;<em>Proceedings Of The Conference Algoritmy,&nbsp;<\/em>2024, 26 - 35.<\/em> (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2024\/12\/Alg_2024.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"http:\/\/www.iam.fmph.uniba.sk\/amuc\/ojs\/index.php\/algoritmy\/issue\/view\/51\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2023<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M.Mac\u00e1k, Z.Minarechov\u00e1, R.\u010cunderl\u00edk, K.Mikula. A gravity field modelling in mountainous areas by solving the nonlinear satellite-fixed geodetic boundary value problem with the finite element method.&nbsp;<em>&nbsp;Acta Geodaetica et Geophysica<\/em> (2023). https:\/\/doi.org\/10.1007\/s40328-023-00418-7 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2023\/08\/s40328-023-00418-7.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40328-023-00418-7\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>M. Mac\u00e1k, Z. Minarechov\u00e1, L. Tomek, R. \u010cunderl\u00edk, K. Mikula.&nbsp;Solving the fixed gravimetric boundary value problem by the finite element method using mapped infinite elements.&nbsp;<em>Computational Geosciences<\/em>&nbsp;(2023). https:\/\/doi.org\/10.1007\/s10596-023-10224-3 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2023\/07\/s10596-023-10224-3.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10596-023-10224-3\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2021<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Z.Minarechov\u00e1, M.Mac\u00e1k, R.\u010cunderl\u00edk, K.Mikula. On the finite element method for solving the oblique derivative boundary value problems and its application in local gravity field modelling.&nbsp;<em>Journal of Geodesy<\/em>, Vol. 95,&nbsp;70 (2021). (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2021\/06\/Minarechov-_et_al-2021-Journal_of_Geodesy.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00190-021-01522-8\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>M.Mac\u00e1k, R.\u010cunderl\u00edk, K.Mikula, Z.Minarechov\u00e1,Computational optimization in solving the geodetic boundary value problems, <em>Discrete &amp; Continuous Dynamical Systems - S<\/em>, 2021, 14 (3) : 987-999.&nbsp;(<a href=\"http:\/\/dx.doi.org\/10.3934\/dcdss.2020381\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2020<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M.Mac\u00e1k, Z.Minarechov\u00e1, R.\u010cunderl\u00edk, K.Mikula. The finite element method as a tool to solve the oblique derivative boundary value problem in geodesy (2020) <em>TMMP<\/em>, Vol 75, Issue 1 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/0402144905_634-10-2478-TMMP-2020-0005.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/content.sciendo.com\/view\/journals\/tmmp\/75\/1\/article-p63.xml\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2018<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R.\u010cunderl\u00edk, K.Mikula, Z.Minarechov\u00e1, M.Mac\u00e1k. Numerical Methods for Solving the Oblique Derivative Boundary Value Problems in Geodesy, In: <em>Freeden W., Rummel R. (eds) Handbuch der Geod\u00e4sie<\/em>. Springer Reference Naturwissenschaften. Springer Spektrum, Berlin, Heidelberg, pp. 1-48. (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/cmmmm_handbook.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/referenceworkentry\/10.1007%2F978-3-662-46900-2_105-1\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>R.\u010cunderl\u00edk, M.Mac\u00e1k, M.Med\u013ea, K.Mikula, Z.Minarechov\u00e1. Computational Methods for High-Resolution Gravity Field Modeling, In: <em>Grafarend E. (eds) Encyclopedia of Geodesy<\/em>. Encyclopedia of Earth Sciences Series. Springer, Cham, 2018, ISBN: 978-3-319-02370-0 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/encyclopedia_of_geodesy.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"http:\/\/springer.iq-technikum.de\/referenceworkentry\/10.1007\/978-3-319-02370-0_109-1\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2016<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M.Mac\u00e1k, K.Mikula, Z.Minarechov\u00e1, R.\u010cunderl\u00edk. On an iterative approach to solving the nonlinear satellite-fixed geodetic boundary-value problem, <em>VIII Hotine-Marussi Symposium on Mathematical Geodesy<\/em>, Volume 142 of the series International Association of Geodesy Symposia, pp 185-192, 2016 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/mmmc_hotine-marussi.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/1345_2015_66\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>L. Sanchez, R. \u010cunderl\u00edk, N. Dayoub, K. Mikula, Z. Minarechov\u00e1, Z. \u0160\u00edma, V. Vatrt, M. Vojti\u0161kov\u00e1. A conventional value for the geoid reference potential W0, <em>Journal of Geodesy<\/em>, Vol. 90, Issue 9 (2016) pp. 815\u2013835 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/W0_JoGE.pdf\" target=\"_blank\" rel=\"noreferrer noopener\"> pdf file <\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007%2Fs00190-016-0913-x\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<p><strong>2015<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M.Mac\u00e1k, R.\u010cunderl\u00edk, K.Mikula, Z.Minarechov\u00e1. An upwind-based scheme for solving the oblique derivative boundary-value problem related to physical geodesy, <em>Journal of Geodetic Sciences<\/em>, Vol. 5 (2015) pp. 180-188 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/mcmm_jgs.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/www.degruyter.com\/view\/journals\/jogs\/open-issue\/article-10.1515-jogs-2015-0018\/article-10.1515-jogs-2015-0018.xml\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>Z. Minarechov\u00e1, M.Mac\u00e1k, R.\u010cunderl\u00edk, K.Mikula. High-resolution global gravity field modelling by the finite volume method, <em>Studia Geophysica et Geodaetica<\/em>, Vol. 59 (2015) pp. 1-20 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/mmcm_sgg.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11200-013-0634-z\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2014<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. \u010cunderl\u00edk,&nbsp;Determination of W0 from the GOCE measurements using the method of fundamental&nbsp;solutions&nbsp;<a href=\"http:\/\/math.sk\/gbvp\/wp-content\/uploads\/2014\/02\/IAGS-S-13-00059.pdf\">(Download PDF)<\/a><\/li>\n\n\n\n<li>M.Mac\u00e1k, Z.Minarechov\u00e1, K.Mikula. A novel scheme for solving the oblique derivative boundary-value problem, <em>Studia Geophysica et Geodaetica<\/em>, Vol. 58 (2014) pp. 556-570 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/mmm_sgg.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11200-013-0340-x\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>J. Jan\u00e1k, M. Pito\u0148\u00e1k, Z. Minarechov\u00e1. Regional quasigeoid from GOCE and terrestrial measurements, <em>Studia geophysica et geodaetica<\/em>, Vol. 58, no. 4 (2014), s. 626-649. ISSN 0039-3169 (<a href=\"https:\/\/www.math.sk\/minarechova\/wp-content\/uploads\/2020\/05\/jpm_sgg.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">pdf file<\/a>) (<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11200-013-0543-1\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>L. Sanchez, N. Dayoub, R. \u010cunderl\u00edk, Z. Minarechov\u00e1, K. Mikula, V. Vatrt, M. Vojti\u0161kov\u00e1, Z. \u0160\u00edma. W0 estimates in the frame od the GGOS working group on vertical Datum Standardisation (2014) <em>International Association of Geodesy Symposia<\/em>, 141, 203-210 (<a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-319-10837-7_26\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n\n\n\n<li>R. \u010cunderl\u00edk, Z. Minarechov\u00e1, K. Mikula. Realization of WHS based on the static gravity field observed by GOGE (2014) <em>International Association of Geodesy Symposia<\/em>, 141, 211-220 (<a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-319-10837-7_27\" target=\"_blank\" rel=\"noreferrer noopener\">link to the paper<\/a>)<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2013<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Z. Fa\u0161kov\u00e1, R. \u010cunderl\u00edk, K. Mikula, R.&nbsp;Tenzer,&nbsp;Influence of Vertical Datum Inconsistencies on Gravity Field Modelling. Influence of vertical datum inconsistencies on gravity field modelling. In Reference Frames for Applications in Geosciences : Proceedings of the Symposium. Marne-La-Vall\u00e9e,4.-8.10.2010. International Association of Geodesy Symposia, Vol. 138, Berlin: Springer Verlag, 2013, s. 205--213.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2012<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. \u010cunderl\u00edk, K.Mikula, M.Tunega, Nonlinear diffusion filtering of data on the&nbsp;Earth's surface, Journal of Geodesy, 2012, DOI 10.1007\/s00190-012-0587-y <a href=\"http:\/\/math.sk\/mikula\/JoGe_Filt.pdf\">(Download PDF)<\/a>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2011<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>M.\u0160prl\u00e1k, Z.Fa\u0161kov\u00e1, K.Mikula, On the application of the coupled&nbsp;finite-infinite element method to the geodetic boundary value problem, Studia&nbsp;Geophysica et Geodaetica, Vol. 55 (2011) pp. 479-487 <a href=\"http:\/\/math.sk\/mikula\/sprlak-f-m.pdf\">(Download PDF)<\/a>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2010<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. \u010cunderl\u00edk, K.Mikula, Direct BEM for high-resolution gravity field&nbsp;modelling, Studia Geophysica et Geodetica, Vol. 54, No. 2 (2010) pp. 219-238&nbsp;<a href=\"http:\/\/math.sk\/mikula\/CM_SGG.pdf\">(Download PDF)<\/a>.<\/li>\n\n\n\n<li>Z.Fa\u0161kov\u00e1, R. \u010cunderl\u00edk, K.Mikula, Finite element method for solving geodetic&nbsp;boundary value problems, Journal of Geodesy, Vol. 84, Issue 2 (2010) pp&nbsp;135-144&nbsp;<a href=\"http:\/\/math.sk\/mikula\/fcm_JoGE.pdf\">(Download PDF)<\/a>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2008<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. \u010cunderl\u00edk, K.Mikula, M.Mojze\u0161, Numerical solution of the linearized fixed gravimetric boundary value problem, Journal of Geodesy, Vol. 82, No. 1 (2008) pp. 15-29 <a href=\"http:\/\/math.sk\/mikula\/CMM_JofGeodesy.pdf\">(Download PDF)<\/a>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2007<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Z.Fa\u0161kov\u00e1, R. \u010cunderl\u00edk, J.Jan\u00e1k, K.Mikula, M.\u0160prl\u00e1k, Gravimetric quasigeoid in Slovakia by the finite element method, Kybernetika, Vol. 43, No. 6(2007) pp. 789-796&nbsp;<a href=\"http:\/\/math.sk\/mikula\/faskova_kybernetika.pdf\">(Download PDF)<\/a>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2004<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. \u010cunderl\u00edk, M.Mojze\u0161, K.Mikula, A comparison of the variational solution of the Neumann geodetic boundary value problem with the geopotential model EGM-96, Contributions to Geophysics and Geodesy, Vol. 34, No. 3 (2004) pp. 209-225&nbsp;<a href=\"http:\/\/math.sk\/mikula\/cmm.pdf\">(Download PDF)<\/a>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">2000<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>R. \u010cunderl\u00edk, K.Mikula, M.Mojze\u0161, The boundary element method applied to the determination of the global quasigeoid, ALGORITMY 2000, Conference on Scientific Computing, Vysoke Tatry-Podbanske, Slovakia, September 10-15, 2000, Proceedings of contributed papers and posters (2000) 301-308&nbsp;<a href=\"http:\/\/math.sk\/mikula\/cunmikmoj.doc.gz\">(Download DOC file)<\/a>.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>List of selected publications of our team: 2025 2024 2023 2021 2020 2018 2016 2015 2014 2013 2012 2011 2010 2008 2007 2004 2000<\/p>\n","protected":false},"author":1,"featured_media":542,"parent":0,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-262","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/pages\/262","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/comments?post=262"}],"version-history":[{"count":13,"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/pages\/262\/revisions"}],"predecessor-version":[{"id":615,"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/pages\/262\/revisions\/615"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/media\/542"}],"wp:attachment":[{"href":"https:\/\/www.math.sk\/gbvp\/wp-json\/wp\/v2\/media?parent=262"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}