{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"institution":[{"name":"Research Square"}],"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T06:44:01Z","timestamp":1747205041689,"version":"3.40.5"},"posted":{"date-parts":[[2024,3,6]]},"group-title":"In Review","reference-count":0,"publisher":"Springer Science and Business Media LLC","license":[{"start":{"date-parts":[[2024,3,6]],"date-time":"2024-03-06T00:00:00Z","timestamp":1709683200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2024,2,29]]},"abstract":"<title>Abstract<\/title>\n        <p>In this work we focus on the development of a numerical algorithm for the inverse elastography problem. The goal is to perform an efficient material parameter identification knowing the elastic displacement field induced by a mechanical load. We propose to define the inverse problem through a quadratic optimization program which uses the direct problem formulation to define the objective function. In this way, we end up with a convex minimization problem which attains its minimum at the solution of a linear system. The effectiveness of our method is illustrated through numeral examples.<\/p>","DOI":"10.21203\/rs.3.rs-4000256\/v1","type":"posted-content","created":{"date-parts":[[2024,3,6]],"date-time":"2024-03-06T19:31:35Z","timestamp":1709753495000},"source":"Crossref","is-referenced-by-count":0,"title":["A quadratic optimization program for the inverse elastography problem"],"prefix":"10.21203","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2651-5083","authenticated-orcid":false,"given":"S\u00edlvia Alexandra Alves","family":"Barbeiro","sequence":"first","affiliation":[{"name":"Unversity of Coimbra"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4173-8469","authenticated-orcid":false,"given":"Rafael Oliveira","family":"Henriques","sequence":"additional","affiliation":[{"name":"Unversity of Coimbra"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2727-6774","authenticated-orcid":false,"given":"Jos\u00e9 Luis Esteves dos","family":"Santos","sequence":"additional","affiliation":[{"name":"Unversity of Coimbra"}]}],"member":"297","container-title":[],"original-title":[],"link":[{"URL":"https:\/\/www.researchsquare.com\/article\/rs-4000256\/v1","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.researchsquare.com\/article\/rs-4000256\/v1.html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,6]],"date-time":"2024-03-06T19:31:35Z","timestamp":1709753495000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.researchsquare.com\/article\/rs-4000256\/v1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,3,6]]},"references-count":0,"URL":"https:\/\/doi.org\/10.21203\/rs.3.rs-4000256\/v1","relation":{},"subject":[],"published":{"date-parts":[[2024,3,6]]},"subtype":"preprint"}}