|
| 1 | +@Article{Farrell:2019, |
| 2 | + author = {Farrell, Patrick E. and Mitchell, Lawrence and Wechsung, Florian}, |
| 3 | + title = {{An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier--Stokes equations at High Reynolds Number}}, |
| 4 | + journal = {SIAM Journal on Scientific Computing}, |
| 5 | + year = {2019}, |
| 6 | + volume = {41}, |
| 7 | + number = {5}, |
| 8 | + pages = {A3073--A3096}, |
| 9 | + doi = {10.1137/18M1219370}, |
| 10 | +} |
| 11 | + |
| 12 | +@book{Fortin:1983, |
| 13 | + author = {Fortin, Michel and Glowinski, Roland}, |
| 14 | + title = {{Augmented Lagrangian Methods: Applications to the Numerical Solution of Boundary-Value Problems}}, |
| 15 | + publisher = {North-Holland}, |
| 16 | + year = {1983}, |
| 17 | +} |
| 18 | + |
| 19 | +@phdthesis{Schoberl:1999, |
| 20 | + author = {Sch\"{o}berl, Joachim}, |
| 21 | + title = {{Robust multigrid methods for parameter dependent problems}}, |
| 22 | + school = {Johannes Kepler Universit\"{a}t Linz}, |
| 23 | + year = {1999}, |
| 24 | +} |
| 25 | + |
| 26 | +@Article{Silvester:1994, |
| 27 | + author = {Silvester, David and Wathen, Andrew J.}, |
| 28 | + title = {{Fast iterative solution of stabilised {S}tokes systems. {Part II}: {U}sing general block preconditioners}}, |
| 29 | + journal = {SIAM Journal on Numerical Analysis}, |
| 30 | + year = {1994}, |
| 31 | + volume = {31}, |
| 32 | + number = {5}, |
| 33 | + pages = {1352--1367}, |
| 34 | + doi = {10.1137/0731070}, |
| 35 | +} |
| 36 | + |
| 37 | +@Article{Farrell:2021b, |
| 38 | + author = {Farrell, Patrick E. and Mitchell, Lawrence and Scott, L. Ridgway and Wechsung, Florian}, |
| 39 | + title = {{A Reynolds-robust preconditioner for the Scott--Vogelius discretization of the stationary incompressible Navier--Stokes equations}}, |
| 40 | + journal = {SMAI Journal of Computational Mathematics}, |
| 41 | + year = {2021}, |
| 42 | + volume = {7}, |
| 43 | + pages = {75--96}, |
| 44 | + doi = {10.5802/smai-jcm.72}, |
| 45 | +} |
| 46 | + |
| 47 | +@Article{Farrell:2021, |
| 48 | + author = {Farrell, Patrick E. and Mitchell, Lawrence and Scott, L. Ridgway and Wechsung, Florian}, |
| 49 | + title = {{Robust multigrid for nearly incompressible elasticity using macro elements}}, |
| 50 | + journal = {IMA Journal on Numerical Analysis}, |
| 51 | + year = {2021}, |
| 52 | + doi = {10.1093/imanum/drab083}, |
| 53 | +} |
| 54 | + |
| 55 | +@Article{Benzi:2006, |
| 56 | + author = {Benzi, Michele and Olshanskii, Maxim A.}, |
| 57 | + title = {{An augmented {L}agrangian-based approach to the {O}seen problem}}, |
| 58 | + journal = {{SIAM} Journal on Scientific Computing}, |
| 59 | + year = {2006}, |
| 60 | + volume = {28}, |
| 61 | + number = {6}, |
| 62 | + pages = {2095--2113}, |
| 63 | + doi = {10.1137/050646421}, |
| 64 | +} |
| 65 | + |
| 66 | +@Article{Hong:2015, |
| 67 | + author = {Hong, Qingguo and Kraus, Johannes and Xu, Jinchao and Zikatanov, Ludmil}, |
| 68 | + title = {{A robust multigrid method for discontinuous {G}alerkin discretizations of {S}tokes and linear elasticity equations}}, |
| 69 | + journal = {Numerische Mathematik}, |
| 70 | + year = {2015}, |
| 71 | + volume = {132}, |
| 72 | + number = {1}, |
| 73 | + pages = {23--49}, |
| 74 | + doi = {10.1007/s00211-015-0712-y}, |
| 75 | +} |
| 76 | + |
1 | 77 | @Article{Egger:2018, |
2 | 78 | author = {Egger, Herbert and Fellner, Klemens and Pietschmann, Jan-Frederik and Tang, Bao Quoc}, |
3 | 79 | title = {{Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology}}, |
@@ -416,3 +492,26 @@ @article{brune2015composing |
416 | 492 | publisher={SIAM}, |
417 | 493 | doi={10.1137/130936725} |
418 | 494 | } |
| 495 | + |
| 496 | +@article{Mardal:2002, |
| 497 | + doi = {10.1137/s0036142901383910}, |
| 498 | + year = 2002, |
| 499 | + volume = {40}, |
| 500 | + number = {5}, |
| 501 | + pages = {1605--1631}, |
| 502 | + author = {Kent-Andre Mardal and Xue-Cheng Tai and Ragnar Winther}, |
| 503 | + title = {A robust finite element method for {Darcy--Stokes} flow}, |
| 504 | + journal = {{SIAM} Journal on Numerical Analysis} |
| 505 | +} |
| 506 | + |
| 507 | +@article{John:2017, |
| 508 | + doi = {10.1137/15m1047696}, |
| 509 | + year = 2017, |
| 510 | + volume = {59}, |
| 511 | + number = {3}, |
| 512 | + pages = {492--544}, |
| 513 | + author = {Volker John and Alexander Linke and Christian Merdon and Michael Neilan and Leo G. Rebholz}, |
| 514 | + title = {On the divergence constraint in mixed finite element methods for incompressible flows}, |
| 515 | + journal = {{SIAM} Review} |
| 516 | +} |
| 517 | + |
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