{"id":470,"date":"2021-10-11T08:11:36","date_gmt":"2021-10-11T08:11:36","guid":{"rendered":"https:\/\/www.peter-zaspel.de\/?page_id=470"},"modified":"2021-10-11T08:31:02","modified_gmt":"2021-10-11T08:31:02","slug":"interdisciplinary-applications","status":"publish","type":"page","link":"https:\/\/www.peter-zaspel.de\/?page_id=470","title":{"rendered":"Interdisciplinary Applications"},"content":{"rendered":"\n<p>The group has a wide range of real-world applications using the above methods. These are quantum chemistry for virtual design of materials [Zas+19], paleo climate field reconstruction, medical imaging [Zas19b], two-phase flows such as in coupled gas-water systems [GZ10; ZG11; ZG13; GRZ19], plasma physics [Pfl+14], and elliptic problems [Zas15; Zas16; HZ19b] such as those arising in steady-state groundwater flows.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Quantum chemistry<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"647\" height=\"516\" src=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/some_molecules.jpg\" alt=\"\" class=\"wp-image-488\" srcset=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/some_molecules.jpg 647w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/some_molecules-300x239.jpg 300w\" sizes=\"auto, (max-width: 647px) 100vw, 647px\" \/><figcaption>Few sample molecules from a large training set for atomization energy prediction.<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"958\" height=\"714\" src=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/06\/multifidelity.png\" alt=\"\" class=\"wp-image-89\" srcset=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/06\/multifidelity.png 958w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/06\/multifidelity-300x224.png 300w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/06\/multifidelity-768x572.png 768w\" sizes=\"auto, (max-width: 958px) 100vw, 958px\" \/><figcaption>Selected single-fidelity models that jointly form a multi-fidelity model.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\">Medical imaging<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"960\" height=\"655\" src=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/csm_perfusion_estimate_noisy_d5b8db7644.jpg\" alt=\"\" class=\"wp-image-43\" srcset=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/csm_perfusion_estimate_noisy_d5b8db7644.jpg 960w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/csm_perfusion_estimate_noisy_d5b8db7644-300x205.jpg 300w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/csm_perfusion_estimate_noisy_d5b8db7644-768x524.jpg 768w\" sizes=\"auto, (max-width: 960px) 100vw, 960px\" \/><figcaption>Estimated mean perfusion in a simulated brain.<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"705\" src=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/low_perfusion_probability_noisy-1024x705.jpg\" alt=\"\" class=\"wp-image-478\" srcset=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/low_perfusion_probability_noisy-1024x705.jpg 1024w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/low_perfusion_probability_noisy-300x206.jpg 300w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/low_perfusion_probability_noisy-768x529.jpg 768w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/low_perfusion_probability_noisy-1536x1057.jpg 1536w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/low_perfusion_probability_noisy-2048x1409.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Probability of a given region in the brain to have low perfusion.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\">Paleo climate field reconstruction<\/h4>\n\n\n\n<p>(coming soon)<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Fluid mechanics (e.g. two-phase flows)<\/h4>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"702\" height=\"648\" src=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/uq_two_phase_problem_result.jpg\" alt=\"\" class=\"wp-image-45\" srcset=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/uq_two_phase_problem_result.jpg 702w, https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2020\/05\/uq_two_phase_problem_result-300x277.jpg 300w\" sizes=\"auto, (max-width: 702px) 100vw, 702px\" \/><figcaption>Prediction of mean behavior of rising bubble in presence of uncertainties in the input.<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-video\"><video height=\"768\" style=\"aspect-ratio: 1024 \/ 768;\" width=\"1024\" controls loop src=\"https:\/\/www.peter-zaspel.de\/wp-content\/uploads\/2021\/10\/bubble.mp4\"><\/video><figcaption>Photorealistic visualization of two-phase flow.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h4 class=\"wp-block-heading\">Related work<\/h4>\n\n\n\n<ul class=\"wp-block-list\"><li>[Zas+19] P. Zaspel et al. \u201cBoosting Quantum Machine Learning Models with a Multilevel Combination Technique: Pople Diagrams Revisited\u201d. In: Journal of Chemical Theory and Computation, 15(3), 2019, pp. 1546\u20131559.<\/li><li>[GZ10] M. Griebel and P. Zaspel. \u201cA multi-GPU accelerated solver for the three-dimensional two-phase incompressible Navier-Stokes equations\u201d. In: Computer Science &#8211; Research and Development, 25(1\u20132), 2010, pp. 65\u201373.<\/li><li>[ZG11] P. Zaspel and M. Griebel. \u201cMassively Parallel Fluid Simulations on Amazon\u2019s HPC Cloud\u201d. In: First International Symposium on Network Cloud Computing and Applications (NCCA), 2011. 2011, pp. 73\u201378.<br>[ZG13] P. Zaspel and M. Griebel. \u201cSolving incompressible two-phase flows on multi-GPU clusters\u201d. In: Computers &amp; Fluids, 80(0), 2013, pp. 356\u2013364.<\/li><li>[GRZ19] M. Griebel, C. Rieger, and Peter Zaspel. \u201cKernel-based stochastics collocation for the random two-phase Navier-Stokes equations\u201d. In: International Journal for Uncertainty Quantification, 9(5), 2019, pp. 471\u2013492.<\/li><li>[Pfl+14] D. Pfl\u00fcger et al. \u201cEXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond\u201d. In: Euro-Par 2014: Parallel Processing Workshops. Vol. 8806. Lecture Notes in Computer Science. Springer International Publishing, 2014, pp. 565\u2013576.<\/li><li>[Zas15] P. Zaspel. \u201cParallel RBF Kernel-Based Stochastic Collocation for Large-Scale Random PDEs\u201d. Dissertation. Institut f\u00fcr Numerische Simulation, Universit\u00e4t Bonn, 2015.<\/li><li>[Zas16] P. Zaspel. \u201cSubspace correction methods in algebraic multi-level frames\u201d. In: Linear Algebra and its Applications, 488, 2016, pp. 505\u2013521.<\/li><li>[HZ19b] H. Harbrecht and P. Zaspel. \u201cOn the Algebraic Construction of Sparse Multilevel Approximations of Elliptic Tensor Product Problems\u201d. In: Journal of Scientific Computing, 78(2), 2019, pp. 1272\u20131290.<\/li><\/ul>\n","protected":false},"excerpt":{"rendered":"<p>The group has a wide range of real-world applications using the above methods. These are quantum chemistry for virtual design of materials [Zas+19], paleo climate field reconstruction, medical imaging [Zas19b], two-phase flows such as in coupled gas-water systems [GZ10; ZG11;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","_mc_calendar":[],"footnotes":""},"class_list":["post-470","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/pages\/470","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=470"}],"version-history":[{"count":11,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/pages\/470\/revisions"}],"predecessor-version":[{"id":490,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/pages\/470\/revisions\/490"}],"wp:attachment":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}