A fourth-order reaction diffusion-based level set method for isogeometric topology optimization Article Swipe
He Li
,
Jianhu Shen
,
Xuyu Zhang
,
Shiwei Zhou
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1016/j.cma.2025.118028
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1016/j.cma.2025.118028
Related Topics
Concepts
Isogeometric analysis
Level set method
Topology optimization
Topology (electrical circuits)
Mathematics
Set (abstract data type)
Level set (data structures)
Applied mathematics
Shape optimization
Mathematical optimization
Diffusion
Finite element method
Computer science
Physics
Engineering
Structural engineering
Combinatorics
Image segmentation
Programming language
Segmentation
Thermodynamics
Artificial intelligence
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.cma.2025.118028
- OA Status
- hybrid
- Cited By
- 2
- References
- 79
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4409754628
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4409754628Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1016/j.cma.2025.118028Digital Object Identifier
- Title
-
A fourth-order reaction diffusion-based level set method for isogeometric topology optimizationWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-04-24Full publication date if available
- Authors
-
He Li, Jianhu Shen, Xuyu Zhang, Shiwei ZhouList of authors in order
- Landing page
-
https://doi.org/10.1016/j.cma.2025.118028Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.1016/j.cma.2025.118028Direct OA link when available
- Concepts
-
Isogeometric analysis, Level set method, Topology optimization, Topology (electrical circuits), Mathematics, Set (abstract data type), Level set (data structures), Applied mathematics, Shape optimization, Mathematical optimization, Diffusion, Finite element method, Computer science, Physics, Engineering, Structural engineering, Combinatorics, Image segmentation, Programming language, Segmentation, Thermodynamics, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2Per-year citation counts (last 5 years)
- References (count)
-
79Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4409754628 |
|---|---|
| doi | https://doi.org/10.1016/j.cma.2025.118028 |
| ids.doi | https://doi.org/10.1016/j.cma.2025.118028 |
| ids.openalex | https://openalex.org/W4409754628 |
| fwci | 8.18351701 |
| type | article |
| title | A fourth-order reaction diffusion-based level set method for isogeometric topology optimization |
| awards[0].id | https://openalex.org/G7985323181 |
| awards[0].funder_id | https://openalex.org/F4320334704 |
| awards[0].display_name | |
| awards[0].funder_award_id | DP240101708 |
| awards[0].funder_display_name | Australian Research Council |
| biblio.issue | |
| biblio.volume | 442 |
| biblio.last_page | 118028 |
| biblio.first_page | 118028 |
| topics[0].id | https://openalex.org/T11245 |
| topics[0].field.id | https://openalex.org/fields/22 |
| topics[0].field.display_name | Engineering |
| topics[0].score | 0.9998999834060669 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2206 |
| topics[0].subfield.display_name | Computational Mechanics |
| topics[0].display_name | Advanced Numerical Analysis Techniques |
| topics[1].id | https://openalex.org/T11115 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9948999881744385 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2205 |
| topics[1].subfield.display_name | Civil and Structural Engineering |
| topics[1].display_name | Topology Optimization in Engineering |
| topics[2].id | https://openalex.org/T10339 |
| topics[2].field.id | https://openalex.org/fields/22 |
| topics[2].field.display_name | Engineering |
| topics[2].score | 0.9171000123023987 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2206 |
| topics[2].subfield.display_name | Computational Mechanics |
| topics[2].display_name | Advanced Numerical Methods in Computational Mathematics |
| funders[0].id | https://openalex.org/F4320334704 |
| funders[0].ror | https://ror.org/05mmh0f86 |
| funders[0].display_name | Australian Research Council |
| is_xpac | False |
| apc_list.value | 4840 |
| apc_list.currency | USD |
| apc_list.value_usd | 4840 |
| apc_paid.value | 4840 |
| apc_paid.currency | USD |
| apc_paid.value_usd | 4840 |
| concepts[0].id | https://openalex.org/C2780737243 |
| concepts[0].level | 3 |
| concepts[0].score | 0.8710623979568481 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q17082433 |
| concepts[0].display_name | Isogeometric analysis |
| concepts[1].id | https://openalex.org/C125269122 |
| concepts[1].level | 4 |
| concepts[1].score | 0.6688717603683472 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q1751397 |
| concepts[1].display_name | Level set method |
| concepts[2].id | https://openalex.org/C189216461 |
| concepts[2].level | 3 |
| concepts[2].score | 0.6682099103927612 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q2443456 |
| concepts[2].display_name | Topology optimization |
| concepts[3].id | https://openalex.org/C184720557 |
| concepts[3].level | 2 |
| concepts[3].score | 0.6125391721725464 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q7825049 |
| concepts[3].display_name | Topology (electrical circuits) |
| concepts[4].id | https://openalex.org/C33923547 |
| concepts[4].level | 0 |
| concepts[4].score | 0.5706407427787781 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q395 |
| concepts[4].display_name | Mathematics |
| concepts[5].id | https://openalex.org/C177264268 |
| concepts[5].level | 2 |
| concepts[5].score | 0.554741621017456 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q1514741 |
| concepts[5].display_name | Set (abstract data type) |
| concepts[6].id | https://openalex.org/C153008295 |
| concepts[6].level | 2 |
| concepts[6].score | 0.5520013570785522 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q6535093 |
| concepts[6].display_name | Level set (data structures) |
| concepts[7].id | https://openalex.org/C28826006 |
| concepts[7].level | 1 |
| concepts[7].score | 0.516943633556366 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q33521 |
| concepts[7].display_name | Applied mathematics |
| concepts[8].id | https://openalex.org/C29513896 |
| concepts[8].level | 3 |
| concepts[8].score | 0.4720523953437805 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q7489239 |
| concepts[8].display_name | Shape optimization |
| concepts[9].id | https://openalex.org/C126255220 |
| concepts[9].level | 1 |
| concepts[9].score | 0.4526195824146271 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q141495 |
| concepts[9].display_name | Mathematical optimization |
| concepts[10].id | https://openalex.org/C69357855 |
| concepts[10].level | 2 |
| concepts[10].score | 0.42123791575431824 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q163214 |
| concepts[10].display_name | Diffusion |
| concepts[11].id | https://openalex.org/C135628077 |
| concepts[11].level | 2 |
| concepts[11].score | 0.3637978732585907 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q220184 |
| concepts[11].display_name | Finite element method |
| concepts[12].id | https://openalex.org/C41008148 |
| concepts[12].level | 0 |
| concepts[12].score | 0.29329854249954224 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[12].display_name | Computer science |
| concepts[13].id | https://openalex.org/C121332964 |
| concepts[13].level | 0 |
| concepts[13].score | 0.10851141810417175 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[13].display_name | Physics |
| concepts[14].id | https://openalex.org/C127413603 |
| concepts[14].level | 0 |
| concepts[14].score | 0.1084202229976654 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q11023 |
| concepts[14].display_name | Engineering |
| concepts[15].id | https://openalex.org/C66938386 |
| concepts[15].level | 1 |
| concepts[15].score | 0.10628506541252136 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q633538 |
| concepts[15].display_name | Structural engineering |
| concepts[16].id | https://openalex.org/C114614502 |
| concepts[16].level | 1 |
| concepts[16].score | 0.08945739269256592 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q76592 |
| concepts[16].display_name | Combinatorics |
| concepts[17].id | https://openalex.org/C124504099 |
| concepts[17].level | 3 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q56933 |
| concepts[17].display_name | Image segmentation |
| concepts[18].id | https://openalex.org/C199360897 |
| concepts[18].level | 1 |
| concepts[18].score | 0.0 |
| concepts[18].wikidata | https://www.wikidata.org/wiki/Q9143 |
| concepts[18].display_name | Programming language |
| concepts[19].id | https://openalex.org/C89600930 |
| concepts[19].level | 2 |
| concepts[19].score | 0.0 |
| concepts[19].wikidata | https://www.wikidata.org/wiki/Q1423946 |
| concepts[19].display_name | Segmentation |
| concepts[20].id | https://openalex.org/C97355855 |
| concepts[20].level | 1 |
| concepts[20].score | 0.0 |
| concepts[20].wikidata | https://www.wikidata.org/wiki/Q11473 |
| concepts[20].display_name | Thermodynamics |
| concepts[21].id | https://openalex.org/C154945302 |
| concepts[21].level | 1 |
| concepts[21].score | 0.0 |
| concepts[21].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[21].display_name | Artificial intelligence |
| keywords[0].id | https://openalex.org/keywords/isogeometric-analysis |
| keywords[0].score | 0.8710623979568481 |
| keywords[0].display_name | Isogeometric analysis |
| keywords[1].id | https://openalex.org/keywords/level-set-method |
| keywords[1].score | 0.6688717603683472 |
| keywords[1].display_name | Level set method |
| keywords[2].id | https://openalex.org/keywords/topology-optimization |
| keywords[2].score | 0.6682099103927612 |
| keywords[2].display_name | Topology optimization |
| keywords[3].id | https://openalex.org/keywords/topology |
| keywords[3].score | 0.6125391721725464 |
| keywords[3].display_name | Topology (electrical circuits) |
| keywords[4].id | https://openalex.org/keywords/mathematics |
| keywords[4].score | 0.5706407427787781 |
| keywords[4].display_name | Mathematics |
| keywords[5].id | https://openalex.org/keywords/set |
| keywords[5].score | 0.554741621017456 |
| keywords[5].display_name | Set (abstract data type) |
| keywords[6].id | https://openalex.org/keywords/level-set |
| keywords[6].score | 0.5520013570785522 |
| keywords[6].display_name | Level set (data structures) |
| keywords[7].id | https://openalex.org/keywords/applied-mathematics |
| keywords[7].score | 0.516943633556366 |
| keywords[7].display_name | Applied mathematics |
| keywords[8].id | https://openalex.org/keywords/shape-optimization |
| keywords[8].score | 0.4720523953437805 |
| keywords[8].display_name | Shape optimization |
| keywords[9].id | https://openalex.org/keywords/mathematical-optimization |
| keywords[9].score | 0.4526195824146271 |
| keywords[9].display_name | Mathematical optimization |
| keywords[10].id | https://openalex.org/keywords/diffusion |
| keywords[10].score | 0.42123791575431824 |
| keywords[10].display_name | Diffusion |
| keywords[11].id | https://openalex.org/keywords/finite-element-method |
| keywords[11].score | 0.3637978732585907 |
| keywords[11].display_name | Finite element method |
| keywords[12].id | https://openalex.org/keywords/computer-science |
| keywords[12].score | 0.29329854249954224 |
| keywords[12].display_name | Computer science |
| keywords[13].id | https://openalex.org/keywords/physics |
| keywords[13].score | 0.10851141810417175 |
| keywords[13].display_name | Physics |
| keywords[14].id | https://openalex.org/keywords/engineering |
| keywords[14].score | 0.1084202229976654 |
| keywords[14].display_name | Engineering |
| keywords[15].id | https://openalex.org/keywords/structural-engineering |
| keywords[15].score | 0.10628506541252136 |
| keywords[15].display_name | Structural engineering |
| keywords[16].id | https://openalex.org/keywords/combinatorics |
| keywords[16].score | 0.08945739269256592 |
| keywords[16].display_name | Combinatorics |
| language | en |
| locations[0].id | doi:10.1016/j.cma.2025.118028 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S40006715 |
| locations[0].source.issn | 0045-7825, 1879-2138 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 0045-7825 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Computer Methods in Applied Mechanics and Engineering |
| locations[0].source.host_organization | https://openalex.org/P4310320990 |
| locations[0].source.host_organization_name | Elsevier BV |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310320990 |
| locations[0].source.host_organization_lineage_names | Elsevier BV |
| locations[0].license | cc-by |
| locations[0].pdf_url | |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Computer Methods in Applied Mechanics and Engineering |
| locations[0].landing_page_url | https://doi.org/10.1016/j.cma.2025.118028 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5033856059 |
| authorships[0].author.orcid | https://orcid.org/0009-0005-1232-4955 |
| authorships[0].author.display_name | He Li |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | He Li |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5050506712 |
| authorships[1].author.orcid | https://orcid.org/0000-0002-8627-7136 |
| authorships[1].author.display_name | Jianhu Shen |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Jianhu Shen |
| authorships[1].is_corresponding | False |
| authorships[2].author.id | https://openalex.org/A5002905406 |
| authorships[2].author.orcid | https://orcid.org/0009-0008-1554-2597 |
| authorships[2].author.display_name | Xuyu Zhang |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Xuyu Zhang |
| authorships[2].is_corresponding | False |
| authorships[3].author.id | https://openalex.org/A5030412244 |
| authorships[3].author.orcid | https://orcid.org/0000-0003-2566-0948 |
| authorships[3].author.display_name | Shiwei Zhou |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Shiwei Zhou |
| authorships[3].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://doi.org/10.1016/j.cma.2025.118028 |
| open_access.oa_status | hybrid |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | A fourth-order reaction diffusion-based level set method for isogeometric topology optimization |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T11245 |
| primary_topic.field.id | https://openalex.org/fields/22 |
| primary_topic.field.display_name | Engineering |
| primary_topic.score | 0.9998999834060669 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2206 |
| primary_topic.subfield.display_name | Computational Mechanics |
| primary_topic.display_name | Advanced Numerical Analysis Techniques |
| related_works | https://openalex.org/W3172398292, https://openalex.org/W2120497877, https://openalex.org/W2004251385, https://openalex.org/W2790144624, https://openalex.org/W2086948940, https://openalex.org/W2088106105, https://openalex.org/W2100745875, https://openalex.org/W2048634512, https://openalex.org/W2162606802, https://openalex.org/W2114406852 |
| cited_by_count | 2 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 2 |
| locations_count | 1 |
| best_oa_location.id | doi:10.1016/j.cma.2025.118028 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S40006715 |
| best_oa_location.source.issn | 0045-7825, 1879-2138 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | False |
| best_oa_location.source.issn_l | 0045-7825 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Computer Methods in Applied Mechanics and Engineering |
| best_oa_location.source.host_organization | https://openalex.org/P4310320990 |
| best_oa_location.source.host_organization_name | Elsevier BV |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310320990 |
| best_oa_location.source.host_organization_lineage_names | Elsevier BV |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Computer Methods in Applied Mechanics and Engineering |
| best_oa_location.landing_page_url | https://doi.org/10.1016/j.cma.2025.118028 |
| primary_location.id | doi:10.1016/j.cma.2025.118028 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S40006715 |
| primary_location.source.issn | 0045-7825, 1879-2138 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 0045-7825 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Computer Methods in Applied Mechanics and Engineering |
| primary_location.source.host_organization | https://openalex.org/P4310320990 |
| primary_location.source.host_organization_name | Elsevier BV |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310320990 |
| primary_location.source.host_organization_lineage_names | Elsevier BV |
| primary_location.license | cc-by |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Computer Methods in Applied Mechanics and Engineering |
| primary_location.landing_page_url | https://doi.org/10.1016/j.cma.2025.118028 |
| publication_date | 2025-04-24 |
| publication_year | 2025 |
| referenced_works | https://openalex.org/W2024288291, https://openalex.org/W2989461436, https://openalex.org/W4213057465, https://openalex.org/W2143163345, https://openalex.org/W3158714549, https://openalex.org/W2090997360, https://openalex.org/W2269121228, https://openalex.org/W2976743732, https://openalex.org/W3017002080, https://openalex.org/W2069697210, https://openalex.org/W1989201748, https://openalex.org/W2004945242, https://openalex.org/W2137726847, https://openalex.org/W2023555453, https://openalex.org/W2036203306, https://openalex.org/W2768028502, https://openalex.org/W3088928073, https://openalex.org/W3105070525, https://openalex.org/W2194971623, https://openalex.org/W2503227972, https://openalex.org/W2132034927, https://openalex.org/W2016413885, https://openalex.org/W4230684562, https://openalex.org/W2026500470, https://openalex.org/W1991113069, https://openalex.org/W2127292566, https://openalex.org/W2126677858, https://openalex.org/W2290249555, https://openalex.org/W2256907778, https://openalex.org/W6809391891, https://openalex.org/W3195332077, https://openalex.org/W3158269450, https://openalex.org/W4323038548, https://openalex.org/W2005057313, https://openalex.org/W6693333536, https://openalex.org/W2146886123, https://openalex.org/W2036066189, https://openalex.org/W4284968376, https://openalex.org/W4404678844, https://openalex.org/W2135036909, https://openalex.org/W2111377429, https://openalex.org/W2122287830, https://openalex.org/W1997742472, https://openalex.org/W2000425991, https://openalex.org/W2074623661, https://openalex.org/W2141671098, https://openalex.org/W2141490920, https://openalex.org/W2062972447, https://openalex.org/W2220999736, https://openalex.org/W2088230448, https://openalex.org/W1970066120, https://openalex.org/W3125591332, https://openalex.org/W2060446039, https://openalex.org/W2081818981, https://openalex.org/W2940674766, https://openalex.org/W3188377921, https://openalex.org/W2262935209, https://openalex.org/W2165107278, https://openalex.org/W2960263333, https://openalex.org/W3030212844, https://openalex.org/W2076231474, https://openalex.org/W2071444434, https://openalex.org/W3197514888, https://openalex.org/W2792470084, https://openalex.org/W2070405956, https://openalex.org/W6858550301, https://openalex.org/W4392938789, https://openalex.org/W4280520439, https://openalex.org/W4213227513, https://openalex.org/W1575923498, https://openalex.org/W109570322, https://openalex.org/W4388873626, https://openalex.org/W2269346654, https://openalex.org/W2744070429, https://openalex.org/W2587288333, https://openalex.org/W642107583, https://openalex.org/W2501507403, https://openalex.org/W2021085005, https://openalex.org/W169459084 |
| referenced_works_count | 79 |
| abstract_inverted_index | |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 95 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.92995062 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |