Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023 |
| Herausgeber/-innen | Adélia Sequeira, Ana Silvestre, Svilen S. Valtchev, João Janela |
| Erscheinungsort | Cham |
| Herausgeber (Verlag) | Springer Science and Business Media Deutschland GmbH |
| Seiten | 64-74 |
| Seitenumfang | 11 |
| Band | 154 |
| ISBN (elektronisch) | 9783031861697 |
| ISBN (Print) | 9783031861680 |
| Publikationsstatus | Veröffentlicht - 28 Apr. 2025 |
| Veranstaltung | European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023 - Lisbon, Portugal Dauer: 4 Sept. 2023 → 8 Sept. 2023 |
Publikationsreihe
| Name | Lecture Notes in Computational Science and Engineering |
|---|---|
| Band | 154 LNCSE |
| ISSN (Print) | 1439-7358 |
| ISSN (elektronisch) | 2197-7100 |
Abstract
In this work, the matrix-free solution of quasi-static phase-field fracture problems is further investigated. More specifically, we consider a quasi-monolithic formulation in which the irreversibility constraint is imposed with a primal-dual active set method. The resulting nonlinear problem is solved with a line-search assisted Newton method. Therein, the arising linear equation systems are solved with a generalized minimal residual method (GMRES), which is preconditioned with a matrix-free geometric multigrid method including geometric local mesh refinement. Our solver is substantiated with a numerical test on locally refined meshes.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Modellierung und Simulation
- Ingenieurwesen (insg.)
- Allgemeiner Maschinenbau
- Mathematik (insg.)
- Diskrete Mathematik und Kombinatorik
- Mathematik (insg.)
- Steuerung und Optimierung
- Mathematik (insg.)
- Computational Mathematics
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- RIS
Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023. Hrsg. / Adélia Sequeira; Ana Silvestre; Svilen S. Valtchev; João Janela. Band 154 Cham: Springer Science and Business Media Deutschland GmbH, 2025. S. 64-74 (Lecture Notes in Computational Science and Engineering; Band 154 LNCSE).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Aufsatz in Konferenzband › Forschung › Peer-Review
}
TY - GEN
T1 - Matrix-Free Geometric Multigrid Preconditioning of Combined Newton-GMRES for Solving Phase-Field Fracture with Local Mesh Refinement
AU - Kolditz, Leon M.
AU - Wick, Thomas
N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
PY - 2025/4/28
Y1 - 2025/4/28
N2 - In this work, the matrix-free solution of quasi-static phase-field fracture problems is further investigated. More specifically, we consider a quasi-monolithic formulation in which the irreversibility constraint is imposed with a primal-dual active set method. The resulting nonlinear problem is solved with a line-search assisted Newton method. Therein, the arising linear equation systems are solved with a generalized minimal residual method (GMRES), which is preconditioned with a matrix-free geometric multigrid method including geometric local mesh refinement. Our solver is substantiated with a numerical test on locally refined meshes.
AB - In this work, the matrix-free solution of quasi-static phase-field fracture problems is further investigated. More specifically, we consider a quasi-monolithic formulation in which the irreversibility constraint is imposed with a primal-dual active set method. The resulting nonlinear problem is solved with a line-search assisted Newton method. Therein, the arising linear equation systems are solved with a generalized minimal residual method (GMRES), which is preconditioned with a matrix-free geometric multigrid method including geometric local mesh refinement. Our solver is substantiated with a numerical test on locally refined meshes.
UR - http://www.scopus.com/inward/record.url?scp=105004796960&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-86169-7_7
DO - 10.1007/978-3-031-86169-7_7
M3 - Conference contribution
AN - SCOPUS:105004796960
SN - 9783031861680
VL - 154
T3 - Lecture Notes in Computational Science and Engineering
SP - 64
EP - 74
BT - Numerical Mathematics and Advanced Applications ENUMATH 2023, Volume 2 - European Conference, 2023
A2 - Sequeira, Adélia
A2 - Silvestre, Ana
A2 - Valtchev, Svilen S.
A2 - Janela, João
PB - Springer Science and Business Media Deutschland GmbH
CY - Cham
T2 - European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2023
Y2 - 4 September 2023 through 8 September 2023
ER -