| Naslov: | An Isogeometric Tearing and Interconnecting (IETI) method for solving high order partial differential equations over planar multi-patch geometries |
|---|
| Avtorji: | ID Kapl, Mario (Avtor)
ID Kosmač, Aljaž (Avtor)
ID Vitrih, Vito (Avtor) |
|---|
| Datoteke: |  RAZ_Kapl_Mario_2026.pdf (6,42 MB)
MD5: 46AF442F3E0B6494E7025BFD30D857A5
 https://www.sciencedirect.com/science/article/pii/S0045782526000435
|
|---|
| Jezik: | Angleški jezik |
|---|
| Vrsta gradiva: | Članek v reviji |
|---|
| Tipologija: | 1.01 - Izvirni znanstveni članek |
|---|
| Organizacija: | FAMNIT - Fakulteta za matematiko, naravoslovje in informacijske tehnologije
IAM - Inštitut Andrej Marušič
|
|---|
| Opis: | We present a novel method for solving high-order partial differential equations (PDEs) over planar multi-patch geometries with
possibly extraordinary vertices demonstrated on the basis of the polyharmonic equation of order m, m ≥ 1, which is a particular linear elliptic PDE of order 2m. Our approach is based on the concept of Isogeometric Tearing and Interconnecting (IETI) and allows to couple the numerical solution of the PDE with Cs-smoothness, , across the edges of the multi-patch geometry. The proposed technique relies on the use of a particular class of multi-patch geometries, called bilinear-like Gs multi-patch parameterizations, to represent the multi-patch domain. The coupling between the neighboring patches is done via the use of Lagrange multipliers and leads to a saddle point problem, which can be solved first by a small dual problem for a subset of the Lagrange multipliers followed by local, parallelizable problems on the single patches for the coefficients of the numerical solution. Several numerical examples for the polyharmonic equation of order m = 1, m = 2 and m = 3, i.e. for the Poisson’s, the biharmonic and the triharmonic equation, respectively, are shown to demonstrate the potential of our IETI method for solving high-order problems over planar multi-patch geometries with possibly extraordinary vertices.
|
|---|
| Ključne besede: | isogeometric analysis, Galerkin method, C^s-smoothness, Tearing and Interconnecting, multi-patch domain, polyharmonic equation |
|---|
| Verzija publikacije: | Objavljena publikacija |
|---|
| Datum objave: | 27.01.2026 |
|---|
| Leto izida: | 2026 |
|---|
| Št. strani: | str. 1-23 |
|---|
| Številčenje: | Vol. 452, pt. B, article 118769 |
|---|
| PID: | 20.500.12556/RUP-22589  |
|---|
| UDK: | 51 |
|---|
| ISSN pri članku: | 0045-7825 |
|---|
| DOI: | 10.1016/j.cma.2026.118769 |
|---|
| COBISS.SI-ID: | 266901251 |
|---|
| Datum objave v RUP: | 02.02.2026 |
|---|
| Število ogledov: | 43 |
|---|
| Število prenosov: | 4 |
|---|
| Metapodatki: |    |
|---|
|
:
|
Kopiraj citat |
|---|
| | | | Skupna ocena: | (0 glasov) |
|---|
| Vaša ocena: | Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. |
|---|
| Objavi na: |  |
|---|
Postavite miškin kazalec na naslov za izpis povzetka. Klik na naslov izpiše
podrobnosti ali sproži prenos. |
