Publication Information

{'id': 'https://openalex.org/W2963067150', 'doi': 'https://doi.org/10.1051/m2an/2015075', 'title': 'Distributed shape derivative<i>via</i>averaged adjoint method and applications', 'display_name': 'Distributed shape derivative<i>via</i>averaged adjoint method and applications', 'publication_year': 2015, 'publication_date': '2015-09-21', 'ids': {'openalex': 'https://openalex.org/W2963067150', 'doi': 'https://doi.org/10.1051/m2an/2015075', 'mag': '2963067150'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1051/m2an/2015075', 'pdf_url': 'https://www.esaim-m2an.org/articles/m2an/pdf/2016/04/m2an150075-s.pdf', 'source': {'id': 'https://openalex.org/S108887460', 'display_name': 'ESAIM Mathematical Modelling and Numerical Analysis', 'issn_l': '0764-583X', 'issn': ['0764-583X', '1290-3841'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319748', 'host_organization_name': 'EDP Sciences', 'host_organization_lineage': ['https://openalex.org/P4310319748'], 'host_organization_lineage_names': ['EDP Sciences'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://www.esaim-m2an.org/articles/m2an/pdf/2016/04/m2an150075-s.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5082364655', 'display_name': 'Antoine Laurain', 'orcid': 'https://orcid.org/0000-0002-8733-5190'}, 'institutions': [{'id': 'https://openalex.org/I4577782', 'display_name': 'Technische Universität Berlin', 'ror': 'https://ror.org/03v4gjf40', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I4577782']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Antoine Laurain', 'raw_affiliation_strings': ['Technische Universität Berlin, Institut für Mathematik, Str. des 17. Juni 136, 10623 Berlin, Germany.'], 'affiliations': [{'raw_affiliation_string': 'Technische Universität Berlin, Institut für Mathematik, Str. des 17. Juni 136, 10623 Berlin, Germany.', 'institution_ids': ['https://openalex.org/I4577782']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5086353198', 'display_name': 'Kevin Sturm', 'orcid': 'https://orcid.org/0000-0001-9855-739X'}, 'institutions': [{'id': 'https://openalex.org/I62318514', 'display_name': 'University of Duisburg-Essen', 'ror': 'https://ror.org/04mz5ra38', 'country_code': 'DE', 'type': 'education', 'lineage': ['https://openalex.org/I62318514']}], 'countries': ['DE'], 'is_corresponding': False, 'raw_author_name': 'Kevin Sturm', 'raw_affiliation_strings': ['Universität Duisburg-Essen, Fakultät für Mathematik, Thea-Leymann-Straße 9, 45127 Essen, Germany.'], 'affiliations': [{'raw_affiliation_string': 'Universität Duisburg-Essen, Fakultät für Mathematik, Thea-Leymann-Straße 9, 45127 Essen, Germany.', 'institution_ids': ['https://openalex.org/I62318514']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 7.315, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 95, 'citation_normalized_percentile': {'value': 0.917367, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '50', 'issue': '4', 'first_page': '1241', 'last_page': '1267'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10514', 'display_name': 'Numerical methods in engineering', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2211', 'display_name': 'Mechanics of Materials'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10514', 'display_name': 'Numerical methods in engineering', 'score': 0.9994, 'subfield': {'id': 'https://openalex.org/subfields/2211', 'display_name': 'Mechanics of Materials'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11558', 'display_name': 'Composite Material Mechanics', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/2211', 'display_name': 'Mechanics of Materials'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11778', 'display_name': 'Electrical and Bioimpedance Tomography', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/2208', 'display_name': 'Electrical and Electronic Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/material-derivative', 'display_name': 'Material derivative', 'score': 0.7711626}, {'id': 'https://openalex.org/keywords/shape-optimization', 'display_name': 'Shape Optimization', 'score': 0.69548714}, {'id': 'https://openalex.org/keywords/directional-derivative', 'display_name': 'Directional derivative', 'score': 0.6422482}, {'id': 'https://openalex.org/keywords/fréchet-derivative', 'display_name': 'Fréchet derivative', 'score': 0.5051523}, {'id': 'https://openalex.org/keywords/expression', 'display_name': 'Expression (computer science)', 'score': 0.4574134}, {'id': 'https://openalex.org/keywords/derivative', 'display_name': 'Derivative (finance)', 'score': 0.45706642}, {'id': 'https://openalex.org/keywords/representation', 'display_name': 'Representation', 'score': 0.42376518}], 'concepts': [{'id': 'https://openalex.org/C111915175', 'wikidata': 'https://www.wikidata.org/wiki/Q1801562', 'display_name': 'Material derivative', 'level': 2, 'score': 0.7711626}, {'id': 'https://openalex.org/C29513896', 'wikidata': 'https://www.wikidata.org/wiki/Q7489239', 'display_name': 'Shape optimization', 'level': 3, 'score': 0.69548714}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.68390334}, {'id': 'https://openalex.org/C62354387', 'wikidata': 'https://www.wikidata.org/wiki/Q875399', 'display_name': 'Boundary (topology)', 'level': 2, 'score': 0.65269595}, {'id': 'https://openalex.org/C2011187', 'wikidata': 'https://www.wikidata.org/wiki/Q383851', 'display_name': 'Directional derivative', 'level': 2, 'score': 0.6422482}, {'id': 'https://openalex.org/C184537036', 'wikidata': 'https://www.wikidata.org/wiki/Q14163503', 'display_name': 'Generalizations of the derivative', 'level': 3, 'score': 0.5473221}, {'id': 'https://openalex.org/C118335899', 'wikidata': 'https://www.wikidata.org/wiki/Q1305350', 'display_name': 'Fréchet derivative', 'level': 3, 'score': 0.5051523}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.4834517}, {'id': 'https://openalex.org/C182310444', 'wikidata': 'https://www.wikidata.org/wiki/Q1332643', 'display_name': 'Boundary value problem', 'level': 2, 'score': 0.46634194}, {'id': 'https://openalex.org/C90559484', 'wikidata': 'https://www.wikidata.org/wiki/Q778379', 'display_name': 'Expression (computer science)', 'level': 2, 'score': 0.4574134}, {'id': 'https://openalex.org/C111771559', 'wikidata': 'https://www.wikidata.org/wiki/Q66295', 'display_name': 'Derivative (finance)', 'level': 2, 'score': 0.45706642}, {'id': 'https://openalex.org/C36503486', 'wikidata': 'https://www.wikidata.org/wiki/Q11235244', 'display_name': 'Domain (mathematical analysis)', 'level': 2, 'score': 0.45115247}, {'id': 'https://openalex.org/C2776359362', 'wikidata': 'https://www.wikidata.org/wiki/Q2145286', 'display_name': 'Representation (politics)', 'level': 3, 'score': 0.42376518}, {'id': 'https://openalex.org/C33257320', 'wikidata': 'https://www.wikidata.org/wiki/Q1932744', 'display_name': 'Second derivative', 'level': 2, 'score': 0.41166186}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.39123377}, {'id': 'https://openalex.org/C28826006', 'wikidata': 'https://www.wikidata.org/wiki/Q33521', 'display_name': 'Applied mathematics', 'level': 1, 'score': 0.37355685}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.21897227}, {'id': 'https://openalex.org/C135628077', 'wikidata': 'https://www.wikidata.org/wiki/Q220184', 'display_name': 'Finite element method', 'level': 2, 'score': 0.16368693}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C106159729', 'wikidata': 'https://www.wikidata.org/wiki/Q2294553', 'display_name': 'Financial economics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C132954091', 'wikidata': 'https://www.wikidata.org/wiki/Q194397', 'display_name': 'Banach space', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C97355855', 'wikidata': 'https://www.wikidata.org/wiki/Q11473', 'display_name': 'Thermodynamics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C199360897', 'wikidata': 'https://www.wikidata.org/wiki/Q9143', 'display_name': 'Programming language', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1051/m2an/2015075', 'pdf_url': 'https://www.esaim-m2an.org/articles/m2an/pdf/2016/04/m2an150075-s.pdf', 'source': {'id': 'https://openalex.org/S108887460', 'display_name': 'ESAIM Mathematical Modelling and Numerical Analysis', 'issn_l': '0764-583X', 'issn': ['0764-583X', '1290-3841'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319748', 'host_organization_name': 'EDP Sciences', 'host_organization_lineage': ['https://openalex.org/P4310319748'], 'host_organization_lineage_names': ['EDP Sciences'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1051/m2an/2015075', 'pdf_url': 'https://www.esaim-m2an.org/articles/m2an/pdf/2016/04/m2an150075-s.pdf', 'source': {'id': 'https://openalex.org/S108887460', 'display_name': 'ESAIM Mathematical Modelling and Numerical Analysis', 'issn_l': '0764-583X', 'issn': ['0764-583X', '1290-3841'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319748', 'host_organization_name': 'EDP Sciences', 'host_organization_lineage': ['https://openalex.org/P4310319748'], 'host_organization_lineage_names': ['EDP Sciences'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 43, 'referenced_works': ['https://openalex.org/W1009267775', 'https://openalex.org/W1238092070', 'https://openalex.org/W153353184', 'https://openalex.org/W1575626747', 'https://openalex.org/W1584280986', 'https://openalex.org/W1592302237', 'https://openalex.org/W1593635133', 'https://openalex.org/W1615359958', 'https://openalex.org/W175246081', 'https://openalex.org/W1977946246', 'https://openalex.org/W1991113069', 'https://openalex.org/W2005681075', 'https://openalex.org/W2010852247', 'https://openalex.org/W2016413885', 'https://openalex.org/W2020109042', 'https://openalex.org/W2020981412', 'https://openalex.org/W2022920697', 'https://openalex.org/W2029780747', 'https://openalex.org/W2055356409', 'https://openalex.org/W2055654817', 'https://openalex.org/W2065544645', 'https://openalex.org/W2080283002', 'https://openalex.org/W2081700439', 'https://openalex.org/W2082949320', 'https://openalex.org/W2084377449', 'https://openalex.org/W2086332226', 'https://openalex.org/W2089686981', 'https://openalex.org/W2093834886', 'https://openalex.org/W2101560656', 'https://openalex.org/W2129510031', 'https://openalex.org/W2148832158', 'https://openalex.org/W2151953103', 'https://openalex.org/W2235422009', 'https://openalex.org/W2278297335', 'https://openalex.org/W2282728996', 'https://openalex.org/W2478917285', 'https://openalex.org/W2488917107', 'https://openalex.org/W2491155384', 'https://openalex.org/W2584557575', 'https://openalex.org/W4245654886', 'https://openalex.org/W4293183906', 'https://openalex.org/W613352991', 'https://openalex.org/W620306444'], 'related_works': ['https://openalex.org/W4299507264', 'https://openalex.org/W2973604913', 'https://openalex.org/W2963067150', 'https://openalex.org/W2962978177', 'https://openalex.org/W2376373908', 'https://openalex.org/W2372512380', 'https://openalex.org/W2364861597', 'https://openalex.org/W2100384283', 'https://openalex.org/W2097846334', 'https://openalex.org/W2064205779'], 'abstract_inverted_index': {'The': [0], 'structure': [1], 'theorem': [2], 'of': [3, 9, 19, 28, 71, 79, 93, 100, 103, 113, 145], 'Hadamard–Zolésio': [4], 'states': [5], 'that': [6], 'the': [7, 17, 20, 25, 34, 47, 64, 72, 76, 80, 94, 114, 128, 151, 158, 162, 176, 181], 'derivative': [8, 82, 97, 165, 184], 'a': [10, 14, 29, 57, 110, 134, 142], 'shape': [11, 41, 65, 81, 96, 116, 146, 153, 164, 183], 'functional': [12], 'is': [13, 43, 52, 61, 139], 'distribution': [15], 'on': [16, 24], 'boundary': [18, 48, 77, 129], 'domain': [21, 35], 'depending': [22], 'only': [23], 'normal': [26], 'perturbations': [27], 'smooth': [30], 'enough': [31], 'boundary.': [32], 'Actually': [33], 'representation,': [36], 'also': [37, 156], 'known': [38], 'as': [39, 50], 'distributed': [40, 95, 115, 152, 163, 182], 'derivative,': [42, 117], 'more': [44], 'general': [45], 'than': [46], 'expression': [49, 78, 130], 'it': [51, 124], 'well-defined': [53], 'for': [54, 83, 166], 'shapes': [55], 'having': [56], 'lower': [58], 'regularity.': [59], 'It': [60], 'customary': [62], 'in': [63, 98], 'optimization': [66, 147], 'literature': [67], 'to': [68, 126, 141, 149, 160, 174, 180], 'assume': [69], 'regularity': [70], 'domains': [73], 'and': [74, 105, 121, 186], 'use': [75, 133], 'numerical': [84, 106, 188], 'algorithms.': [85], 'In': [86], 'this': [87], 'paper': [88], 'we': [89, 171], 'describe': [90], 'several': [91], 'advantages': [92], 'terms': [99], 'generality,': [101], 'easiness': [102], 'computation': [104], 'implementation.': [107], 'We': [108, 132, 155], 'identify': [109], 'tensor': [111], 'representation': [112], 'study': [118], 'its': [119], 'properties': [120], 'show': [122], 'how': [123, 173], 'allows': [125], 'recover': [127], 'directly.': [131], 'novel': [135], 'Lagrangian': [136], 'approach,': [137], 'which': [138], 'applicable': [140], 'large': [143], 'class': [144], 'problems,': [148], 'compute': [150], 'derivative.': [154], 'apply': [157], 'technique': [159], 'retrieve': [161], 'electrical': [167], 'impedance': [168], 'tomography.': [169], 'Finally': [170], 'explain': [172], 'adapt': [175], 'level': [177], 'set': [178], 'method': [179], 'framework': [185], 'present': [187], 'results.': [189]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2963067150', 'counts_by_year': [{'year': 2024, 'cited_by_count': 12}, {'year': 2023, 'cited_by_count': 14}, {'year': 2022, 'cited_by_count': 13}, {'year': 2021, 'cited_by_count': 12}, {'year': 2020, 'cited_by_count': 8}, {'year': 2019, 'cited_by_count': 12}, {'year': 2018, 'cited_by_count': 10}, {'year': 2017, 'cited_by_count': 8}, {'year': 2016, 'cited_by_count': 6}], 'updated_date': '2024-12-31T01:51:43.040235', 'created_date': '2019-07-30'}