Diff selection: Mark the radio boxes of the revisions to compare and hit enter or the button at the bottom.
Legend: (cur) = difference with latest revision, (prev) = difference with preceding revision, m = minor edit.
Back to Top
Document information
Published on 01/01/2009
DOI: 10.1137/08072632X
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 69
Crossref Cited-by Times cited: 66
OpenCitations.net Times cited: 39
OpenCitations.net - Citing documents:
- Y. Cao, M. Gunzburger, X. He, X. Wang. Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface condition. Numer. Math. 117(4) (2011) DOI 10.1007/s00211-011-0361-8
- V. Girault, D. Vassilev, I. Yotov. Mortar multiscale finite element methods for Stokes–Darcy flows. Numer. Math. 127(1) (2013) DOI 10.1007/s00211-013-0583-z
- J. Bruchon, D. Pino Muñoz. Finite Element Approach to the Sintering Process at the Grain Scale. (2014) DOI 10.1002/9781118578759.ch5
- S. Drapier. Fluid/Solid/Porous Multiphysics Couplings for Modeling Infusion-Based Processing of Polymer Composites. (2014) DOI 10.1002/9781118578759.ch8
- M. Juntunen, R. Stenberg. Analysis of finite element methods for the Brinkman problem. Calcolo 47(3) (2009) DOI 10.1007/s10092-009-0017-6
- J. KÖNNÖ, R. STENBERG. H(div)-CONFORMING FINITE ELEMENTS FOR THE BRINKMAN PROBLEM. Math. Models Methods Appl. Sci. 21(11) (2012) DOI 10.1142/s0218202511005726
- A. Hannukainen, M. Juntunen, R. Stenberg. Computations with finite element methods for the Brinkman problem. Comput Geosci 15(1) (2010) DOI 10.1007/s10596-010-9204-4
- A. Caiazzo, V. John, U. Wilbrandt. On classical iterative subdomain methods for the Stokes–Darcy problem. Comput Geosci 18(5) (2014) DOI 10.1007/s10596-014-9418-y
- D. Pino Muñoz, J. Bruchon, S. Drapier, F. Valdivieso. A finite element-based level set method for fluid-elastic solid interaction with surface tension. Int. J. Numer. Meth. Engng 93(9) (2012) DOI 10.1002/nme.4415
- R. Codina, J. Baiges. Weak imposition of essential boundary conditions in the finite element approximation of elliptic problems with non-matching meshes. Int. J. Numer. Meth. Engng 104(7) (2014) DOI 10.1002/nme.4815
- M. Cai, P. Huang, M. Mu. Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model. Adv Comput Math 44(1) (2017) DOI 10.1007/s10444-017-9537-9
- C. D'Angelo, P. Zunino. A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows. SIAM J. Numer. Anal. 47(5) DOI 10.1137/080726318
- S. Badia, R. Codina, J. Gutiérrez-Santacreu. Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling. SIAM J. Numer. Anal. 48(3) DOI 10.1137/090766681
- S. Badia, R. Codina. A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. SIAM J. Numer. Anal. 50(2) DOI 10.1137/110835360
- S. Badia, J. Baiges. Adaptive Finite Element Simulation of Incompressible Flows by Hybrid Continuous-Discontinuous Galerkin Formulations. SIAM J. Sci. Comput. 35(1) DOI 10.1137/120880732
- S. Badia, R. Codina, H. Espinoza. Stability, Convergence, and Accuracy of Stabilized Finite Element Methods for the Wave Equation in Mixed Form. SIAM J. Numer. Anal. 52(4) DOI 10.1137/130918708
- R. Becker, D. Capatina, R. Luce, D. Trujillo. Stabilized Finite Element Formulation with Domain Decomposition for Incompressible Flows. SIAM J. Sci. Comput. 37(3) DOI 10.1137/140975796
- G. Fu, Y. Jin, W. Qiu. Parameter-free superconvergent H(div)-conforming HDG methods for the Brinkman equations. 39(2) (2018) DOI 10.1093/imanum/dry001
- L. Abouorm, M. Blais, N. Moulin, J. Bruchon, S. Drapier. A Robust Monolithic Approach for Resin Infusion Based Process Modelling. KEM 611-612 (2014) DOI 10.4028/www.scientific.net/kem.611-612.306
- S. Chen, L. Dong, Z. Qiao. Uniformly convergent H(div)-conforming rectangular elements for Darcy-Stokes problem. Sci. China Math. 56(12) (2013) DOI 10.1007/s11425-013-4692-z
- S. Chen, L. Dong, J. Zhao. Uniformly Convergent Cubic Nonconforming Element For Darcy–Stokes Problem. J Sci Comput 72(1) (2017) DOI 10.1007/s10915-016-0353-z
- K. Nafa. Analysis of Subgrid Stabilization Method for Stokes-Darcy Problems. Advances in Numerical Analysis 2016 DOI 10.1155/2016/7389102
- V. Girault, G. Kanschat, B. Rivière. On the Coupling of Incompressible Stokes or Navier–Stokes and Darcy Flows Through Porous Media. (2012) DOI 10.1007/978-1-4614-5055-9_1
- C. D'Angelo, P. Zunino. Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport. ESAIM: M2AN 45(3) (2010) DOI 10.1051/m2an/2010062
- Y. Wang, S. Li, Z. Si. A second order in time incremental pressure correction finite element method for the Navier-Stokes/Darcy problem. ESAIM: M2AN 52(4) (2018) DOI 10.1051/m2an/2017049
- L. Blank, A. Caiazzo, F. Chouly, A. Lozinski, J. Mura. Analysis of a stabilized penalty-free Nitsche method for the Brinkman, Stokes, and Darcy problems. ESAIM: M2AN 52(6) (2019) DOI 10.1051/m2an/2018063
- P. Knobloch, L. Tobiska. Improved stability and error analysis for a class of local projection stabilizations applied to the Oseen problem. Numer. Methods Partial Differential Eq. 29(1) (2012) DOI 10.1002/num.21706
- A. Hannukainen, M. Juntunen, R. Stenberg. Benchmarking FE-Methods for the Brinkman Problem. (2010) DOI 10.1007/978-3-642-11795-4_45
- L. Abouorm, N. Moulin, J. Bruchon, S. Drapier. Monolithic Approach of Stokes-Darcy Coupling for LCM Process Modelling. KEM 554-557 (2013) DOI 10.4028/www.scientific.net/kem.554-557.447
- X. Hu, C. Douglas. An Implementation of a Coupled Dual-Porosity-Stokes Model with FEniCS. (2019) DOI 10.1007/978-3-030-22747-0_5
- M. Blais, N. Moulin, P. Liotier, S. Drapier. Resin infusion-based processes simulation : coupled Stokes-Darcy flows in orthotropic preforms undergoing finite strain. Int J Mater Form 10(1) (2015) DOI 10.1007/s12289-015-1259-2
- K. Andriamananjara, N. Moulin, J. Bruchon, P. Liotier, S. Drapier. Numerical modeling of local capillary effects in porous media as a pressure discontinuity acting on the interface of a transient bi-fluid flow. Int J Mater Form 12(4) (2018) DOI 10.1007/s12289-018-1442-3
- X. Li, W. Xu. Numerical Computation of Brinkman Flow with Stable Mixed Element Method. Mathematical Problems in Engineering 2019 DOI 10.1155/2019/7625201
- M. Benítez, A. Bermúdez, P. Fontán. A Second-Order Linear Newmark Method for Lagrangian Navier-Stokes Equations. (2018) DOI 10.1007/978-3-319-97613-6_3
- Z. Si, Y. Wang, S. Li. Decoupled modified characteristics finite element method for the time dependent Navier-Stokes/Darcy problem. Math. Meth. Appl. Sci. (2013) DOI 10.1002/mma.2901
- D. Pino-Muñoz, J. Bruchon, S. Drapier, F. Valdivieso. Sintering at Particle Scale: An Eulerian Computing Framework to Deal with Strong Topological and Material Discontinuities. Arch Computat Methods Eng 21(2) (2014) DOI 10.1007/s11831-014-9101-4
- S. Badia, R. Codina, R. Planas. Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. Arch Computat Methods Eng 22(4) (2014) DOI 10.1007/s11831-014-9129-5
- L. Abouorm, R. Troian, S. Drapier, J. Bruchon, N. Moulin. Stokes–Darcy coupling in severe regimes using multiscale stabilisation for mixed finite elements: monolithic approach versus decoupled approach. European Journal of Computational Mechanics 23(3-4) (2014) DOI 10.1080/17797179.2014.882140
- E. Oñate, J. Carbonell. Updated lagrangian mixed finite element formulation for quasi and fully incompressible fluids. Comput Mech 54(6) (2014) DOI 10.1007/s00466-014-1078-1
Share this document
Keywords
claim authorship
Are you one of the authors of this document?