Relevant bibliographies by topics / Schwarz methods / Journal articles
To see the other types of publications on this topic, follow the link: Schwarz methods.

Journal articles on the topic 'Schwarz methods'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Schwarz methods.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Gander, Martin J. "Optimized Schwarz Methods." SIAM Journal on Numerical Analysis 44, no. 2 (January 2006): 699–731. http://dx.doi.org/10.1137/s0036142903425409.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Zhang, Xuejun. "Multilevel Schwarz methods." Numerische Mathematik 63, no. 1 (December 1992): 521–39. http://dx.doi.org/10.1007/bf01385873.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Gander, Martin J., and Tommaso Vanzan. "Multilevel Optimized Schwarz Methods." SIAM Journal on Scientific Computing 42, no. 5 (January 2020): A3180—A3209. http://dx.doi.org/10.1137/19m1259389.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

da Veiga, L. Beira͂o, D. Cho, L. F. Pavarino, and S. Scacchi. "Overlapping Schwarz Methods for Isogeometric Analysis." SIAM Journal on Numerical Analysis 50, no. 3 (January 2012): 1394–416. http://dx.doi.org/10.1137/110833476.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Cai, Xiao-Chuan. "Multiplicative Schwarz Methods for Parabolic Problems." SIAM Journal on Scientific Computing 15, no. 3 (May 1994): 587–603. http://dx.doi.org/10.1137/0915039.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Rui, Hongxing. "Multiplicative Schwarz methods for parabolic problems." Applied Mathematics and Computation 136, no. 2-3 (March 2003): 593–610. http://dx.doi.org/10.1016/s0096-3003(02)00085-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Canuto, C., and D. Funaro. "The Schwarz Algorithm for Spectral Methods." SIAM Journal on Numerical Analysis 25, no. 1 (February 1988): 24–40. http://dx.doi.org/10.1137/0725003.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Dolean, V., M. J. Gander, and L. Gerardo-Giorda. "Optimized Schwarz Methods for Maxwell's Equations." SIAM Journal on Scientific Computing 31, no. 3 (January 2009): 2193–213. http://dx.doi.org/10.1137/080728536.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Griebel, Michael, and Peter Oswald. "Schwarz Iterative Methods: Infinite Space Splittings." Constructive Approximation 44, no. 1 (November 17, 2015): 121–39. http://dx.doi.org/10.1007/s00365-015-9318-y.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Yang, Jianhua, and Danping Yang. "Additive Schwarz methods for parabolic problems." Applied Mathematics and Computation 163, no. 1 (April 2005): 17–28. http://dx.doi.org/10.1016/j.amc.2004.03.025.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Benzi, Michele, Andreas Frommer, Reinhard Nabben, and Daniel B. Szyld. "Algebraic theory of multiplicative Schwarz methods." Numerische Mathematik 89, no. 4 (October 2001): 605–39. http://dx.doi.org/10.1007/s002110100275.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Park, Jongho. "Additive Schwarz Methods for Convex Optimization as Gradient Methods." SIAM Journal on Numerical Analysis 58, no. 3 (January 2020): 1495–530. http://dx.doi.org/10.1137/19m1300583.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

Gander, Martin, Laurence Halpern, Frédéric Magoulès, and François-Xavier Roux. "Analysis of Patch Substructuring Methods." International Journal of Applied Mathematics and Computer Science 17, no. 3 (October 1, 2007): 395–402. http://dx.doi.org/10.2478/v10006-007-0032-1.

Full text
Abstract:
Analysis of Patch Substructuring MethodsPatch substructuring methods are non-overlapping domain decomposition methods like classical substructuring methods, but they use information from geometric patches reaching into neighboring subdomains, condensated on the interfaces, to enhance the performance of the method, while keeping it non-overlapping. These methods are very convenient to use in practice, but their convergence properties have not been studied yet. We analyze geometric patch substructuring methods for the special case of one patch per interface. We show that this method is equivalent to an overlapping Schwarz method using Neumann transmission conditions. This equivalence is obtained by first studying a new, algebraic patch method, which is equivalent to the classical Schwarz method with Dirichlet transmission conditions and an overlap corresponding to the size of the patches. Our results motivate a new method, the Robin patch method, which is a linear combination of the algebraic and the geometric one, and can be interpreted as an optimized Schwarz method with Robin transmission conditions. This new method has a significantly faster convergence rate than both the algebraic and the geometric one. We complement our results by numerical experiments.
APA, Harvard, Vancouver, ISO, and other styles
14

MAGOULÈS, FRÉDÉRIC, and ROMAN PUTANOWICZ. "OPTIMAL CONVERGENCE OF NON-OVERLAPPING SCHWARZ METHODS FOR THE HELMHOLTZ EQUATION." Journal of Computational Acoustics 13, no. 03 (September 2005): 525–45. http://dx.doi.org/10.1142/s0218396x05002748.

Full text
Abstract:
The non-overlapping Schwarz method with absorbing boundary conditions instead of the Dirichlet boundary conditions is an efficient variant of the overlapping Schwarz method for the Helmholtz equation. These absorbing boundary conditions defined on the interface between the subdomains are the key ingredients to obtain a fast convergence of the iterative Schwarz algorithm. In a one-way subdomains splitting, non-local optimal absorbing boundary conditions can be obtained and leads to the convergence of the Schwarz algorithm in a number of iterations equal to the number of subdomains minus one. This paper investigates different local approximations of these optimal absorbing boundary conditions for finite element computations in acoustics. Different approaches are presented both in the continuous and in the discrete analysis, including high-order optimized continuous absorbing boundary conditions, and discrete absorbing boundary conditions based on algebraic approximation. A wide range of new numerical experiments performed on unbounded acoustics problems demonstrate the comparative performance and the robustness of the proposed methods on general unstructured mesh partitioning.
APA, Harvard, Vancouver, ISO, and other styles
15

Lui, S. H. "On accelerated convergence of nonoverlapping Schwarz methods." Journal of Computational and Applied Mathematics 130, no. 1-2 (May 2001): 309–21. http://dx.doi.org/10.1016/s0377-0427(99)00374-x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
16

Arnal, J., V. Migallon, J. Penades, and D. B. Szyld. "Newton additive and multiplicative Schwarz iterative methods." IMA Journal of Numerical Analysis 28, no. 1 (March 16, 2007): 143–61. http://dx.doi.org/10.1093/imanum/drm015.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Pospiech, Christoph. "An APL2 tool box investigating Schwarz methods." ACM SIGAPL APL Quote Quad 23, no. 1 (July 15, 1992): 183–93. http://dx.doi.org/10.1145/144052.144121.

Full text
APA, Harvard, Vancouver, ISO, and other styles
18

Benzi, Michele, and Verena Kuhlemann. "Restricted additive Schwarz methods for Markov chains." Numerical Linear Algebra with Applications 18, no. 6 (November 2011): 1011–29. http://dx.doi.org/10.1002/nla.821.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Nabben, Reinhard, and Daniel B. Szyld. "Convergence Theory of Restricted Multiplicative Schwarz Methods." SIAM Journal on Numerical Analysis 40, no. 6 (January 2002): 2318–36. http://dx.doi.org/10.1137/s003614290138944x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
20

Badea, Lori. "Schwarz methods for inequalities with contraction operators." Journal of Computational and Applied Mathematics 215, no. 1 (May 2008): 196–219. http://dx.doi.org/10.1016/j.cam.2007.04.004.

Full text
APA, Harvard, Vancouver, ISO, and other styles
21

Brenner, Susanne C. "An additive analysis of multiplicative Schwarz methods." Numerische Mathematik 123, no. 1 (June 20, 2012): 1–19. http://dx.doi.org/10.1007/s00211-012-0479-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Beirão da Veiga, L., D. Cho, L. F. Pavarino, and S. Scacchi. "Overlapping Schwarz preconditioners for isogeometric collocation methods." Computer Methods in Applied Mechanics and Engineering 278 (August 2014): 239–53. http://dx.doi.org/10.1016/j.cma.2014.05.007.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

Pavarino, Luca F., and Timothy Warburton. "Overlapping Schwarz Methods for Unstructured Spectral Elements." Journal of Computational Physics 160, no. 1 (May 2000): 298–317. http://dx.doi.org/10.1006/jcph.2000.6463.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Antonietti, Paola F., Blanca Ayuso de Dios, Susanne C. Brenner, and Li-yeng Sung. "Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems." Computational Methods in Applied Mathematics 12, no. 3 (2012): 241–72. http://dx.doi.org/10.2478/cmam-2012-0021.

Full text
Abstract:
Abstract We propose and analyze several two-level non-overlapping Schwarz methods for a preconditioned weakly over-penalized symmetric interior penalty (WOPSIP) discretization of a second order boundary value problem. We show that the preconditioners are scalable and that the condition number of the resulting preconditioned linear systems of equations is independent of the penalty parameter and is of order H/h, where H and h represent the mesh sizes of the coarse and fine partitions, respectively. Numerical experiments that illustrate the performance of the proposed two-level Schwarz methods are also presented.
APA, Harvard, Vancouver, ISO, and other styles
25

Zhang, Xuejun. "Multilevel Schwarz Methods for the Biharmonic Dirichlet Problem." SIAM Journal on Scientific Computing 15, no. 3 (May 1994): 621–44. http://dx.doi.org/10.1137/0915041.

Full text
APA, Harvard, Vancouver, ISO, and other styles
26

Discacciati, Marco, and Luca Gerardo-Giorda. "Optimized Schwarz methods for the Stokes–Darcy coupling." IMA Journal of Numerical Analysis 38, no. 4 (September 11, 2017): 1959–83. http://dx.doi.org/10.1093/imanum/drx054.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Tran, Thanh. "Overlapping Additive Schwarz Preconditioners for Boundary Element Methods." Journal of Integral Equations and Applications 12, no. 2 (June 2000): 177–206. http://dx.doi.org/10.1216/jiea/1020282169.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Gander, Martin J., and Yingxiang Xu. "Optimized Schwarz methods with nonoverlapping circular domain decomposition." Mathematics of Computation 86, no. 304 (May 17, 2016): 637–60. http://dx.doi.org/10.1090/mcom/3127.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Herrera, Ismael, and Robert Yates. "General theory of domain decomposition: Beyond Schwarz methods." Numerical Methods for Partial Differential Equations 17, no. 5 (2001): 495–517. http://dx.doi.org/10.1002/num.1024.

Full text
APA, Harvard, Vancouver, ISO, and other styles
30

Yanik, Elizabeth Greenwell. "A Schwarz alternating procedure using spline collocation methods." International Journal for Numerical Methods in Engineering 28, no. 3 (March 1989): 621–27. http://dx.doi.org/10.1002/nme.1620280310.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Holst, Michael, and Stefan Vandewalle. "Schwarz Methods: To Symmetrize or Not to Symmetrize." SIAM Journal on Numerical Analysis 34, no. 2 (April 1997): 699–722. http://dx.doi.org/10.1137/s0036142994275743.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

Lui, S. H. "On Schwarz Alternating Methods for Nonlinear Elliptic PDEs." SIAM Journal on Scientific Computing 21, no. 4 (January 1999): 1506–23. http://dx.doi.org/10.1137/s1064827597327553.

Full text
APA, Harvard, Vancouver, ISO, and other styles
33

Mittal, Ketan, Som Dutta, and Paul Fischer. "Nonconforming Schwarz-spectral element methods for incompressible flow." Computers & Fluids 191 (September 2019): 104237. http://dx.doi.org/10.1016/j.compfluid.2019.104237.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Rodrigue, Garry. "Inner/outer iterative methods and numerical Schwarz algorithms." Parallel Computing 2, no. 3 (November 1985): 205–18. http://dx.doi.org/10.1016/0167-8191(85)90003-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
35

Stefanica, Dan. "Lower bounds for additive Schwarz methods with mortars." Comptes Rendus Mathematique 339, no. 10 (November 2004): 739–43. http://dx.doi.org/10.1016/j.crma.2004.09.016.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Magoulès, Frédéric, Daniel B. Szyld, and Cédric Venet. "Asynchronous optimized Schwarz methods with and without overlap." Numerische Mathematik 137, no. 1 (March 8, 2017): 199–227. http://dx.doi.org/10.1007/s00211-017-0872-z.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

Migliorati, Giovanni, and Alfio Quarteroni. "Multilevel Schwarz methods for elliptic partial differential equations." Computer Methods in Applied Mechanics and Engineering 200, no. 25-28 (June 2011): 2282–96. http://dx.doi.org/10.1016/j.cma.2011.03.017.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Nagid, Nabila, and Hassan Belhadj. "New approach for accelerating the nonlinear Schwarz iterations." Boletim da Sociedade Paranaense de Matemática 38, no. 4 (March 10, 2019): 51–69. http://dx.doi.org/10.5269/bspm.v38i4.37018.

Full text
Abstract:
The vector Epsilon algorithm is an effective extrapolation method used for accelerating the convergence of vector sequences. In this paper, this method is used to accelerate the convergence of Schwarz iterative methods for stationary linear and nonlinear partial differential equations (PDEs). The vector Epsilon algorithm is applied to the vector sequences produced by additive Schwarz (AS) or restricted additive Schwarz (RAS) methods after discretization. Some convergence analysis is presented, and several test-cases of analytical problems are performed in order to illustrate the interest of such algorithm. The obtained results show that the proposed algorithm yields much faster convergence than the classical Schwarz iterations.
APA, Harvard, Vancouver, ISO, and other styles
39

Gander, Martin J., Laurence Halpern, Florence Hubert, and Stella Krell. "Optimized Schwarz methods with general Ventcell transmission conditions for fully anisotropic diffusion with discrete duality finite volume discretizations." Moroccan Journal of Pure and Applied Analysis 7, no. 2 (December 28, 2020): 182–213. http://dx.doi.org/10.2478/mjpaa-2021-0014.

Full text
Abstract:
Abstract We introduce a new non-overlapping optimized Schwarz method for fully anisotropic diffusion problems. Optimized Schwarz methods take into account the underlying physical properties of the problem at hand in the transmission conditions, and are thus ideally suited for solving anisotropic diffusion problems. We first study the new method at the continuous level for two subdomains, prove its convergence for general transmission conditions of Ventcell type using energy estimates, and also derive convergence factors to determine the optimal choice of parameters in the transmission conditions. We then derive optimized Robin and Ventcell parameters at the continuous level for fully anisotropic diffusion, both for the case of unbounded and bounded domains. We next present a discretization of the algorithm using discrete duality finite volumes, which are ideally suited for fully anisotropic diffusion on very general meshes. We prove a new convergence result for the discretized optimized Schwarz method with two subdomains using energy estimates for general Ventcell transmission conditions. We finally study the convergence of the new optimized Schwarz method numerically using parameters obtained from the continuous analysis. We find that the predicted optimized parameters work very well in practice, and that for certain anisotropies which we characterize, our new bounded domain analysis is important.
APA, Harvard, Vancouver, ISO, and other styles
40

Pavarino, Luca F. "Indefinite overlapping Schwarz methods for time-dependent Stokes problems." Computer Methods in Applied Mechanics and Engineering 187, no. 1-2 (June 2000): 35–51. http://dx.doi.org/10.1016/s0045-7825(99)00326-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
41

Sirotkin, V., and P. Tarvainen. "Parallel Schwarz methods for convection-dominated semilinear diffusion problems." Journal of Computational and Applied Mathematics 145, no. 1 (August 2002): 189–211. http://dx.doi.org/10.1016/s0377-0427(01)00575-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Gerardo-Giorda, Luca, and Mauro Perego. "Optimized Schwarz Methods for the Bidomain system in electrocardiology." ESAIM: Mathematical Modelling and Numerical Analysis 47, no. 2 (January 18, 2013): 583–608. http://dx.doi.org/10.1051/m2an/2012040.

Full text
APA, Harvard, Vancouver, ISO, and other styles
43

Dahlke, Stephan, Dominik Lellek, Shiu Hong Lui, and Rob Stevenson. "Adaptive Wavelet Schwarz Methods for the Navier-Stokes Equation." Numerical Functional Analysis and Optimization 37, no. 10 (July 2016): 1213–34. http://dx.doi.org/10.1080/01630563.2016.1198916.

Full text
APA, Harvard, Vancouver, ISO, and other styles
44

Gander, Martin J., and Hui Zhang. "Optimized Schwarz Methods with Overlap for the Helmholtz Equation." SIAM Journal on Scientific Computing 38, no. 5 (January 2016): A3195—A3219. http://dx.doi.org/10.1137/15m1021659.

Full text
APA, Harvard, Vancouver, ISO, and other styles
45

Gander, Martin J., and Yingxiang Xu. "Optimized Schwarz Methods for Circular Domain Decompositions with Overlap." SIAM Journal on Numerical Analysis 52, no. 4 (January 2014): 1981–2004. http://dx.doi.org/10.1137/130946125.

Full text
APA, Harvard, Vancouver, ISO, and other styles
46

Guo, Guangbao. "Schwarz Methods for Quasi-Likelihood in Generalized Linear Models." Communications in Statistics - Simulation and Computation 37, no. 10 (October 13, 2008): 2027–36. http://dx.doi.org/10.1080/03610910802311700.

Full text
APA, Harvard, Vancouver, ISO, and other styles
47

Gander, Martin J., Frédéric Magoulès, and Frédéric Nataf. "Optimized Schwarz Methods without Overlap for the Helmholtz Equation." SIAM Journal on Scientific Computing 24, no. 1 (January 2002): 38–60. http://dx.doi.org/10.1137/s1064827501387012.

Full text
APA, Harvard, Vancouver, ISO, and other styles
48

Li, Shishun, Xinping Shao, and Xiao-Chuan Cai. "Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations." SIAM Journal on Scientific Computing 40, no. 5 (January 2018): A3012—A3037. http://dx.doi.org/10.1137/17m113808x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
49

Gander, Martin J., and Tommaso Vanzan. "Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs." SIAM Journal on Scientific Computing 41, no. 4 (January 2019): A2329—A2354. http://dx.doi.org/10.1137/18m122114x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
50

Pavarino, Luca F. "Additive Schwarz methods for thep-version finite element method." Numerische Mathematik 66, no. 1 (December 1993): 493–515. http://dx.doi.org/10.1007/bf01385709.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Schwarz methods' for other source types:
Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography