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Connections between discontinuous Galerkin and nonconforming finite element methods for the Stokes equations
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A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem
Mixed finite element methods for incompressible flow: Stationary Stokes equations
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A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem
A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
Marco Brera, Joseph W. Jerome, Yoichiro Mori and Riccardo Sacco Computer Methods in Applied Mechanics and Engineering 199(41-44) 2709 (2010) https://doi.org/10.1016/j.cma.2010.05.016
Modelling and simulation of moving contact line problems with wetting effects
Bounds on outputs of the exact weak solution of the three‐dimensional Stokes problem
Zhong Cheng, Shahin Ghomeshi and Marius Paraschivoiu International Journal for Numerical Methods in Fluids 61(10) 1098 (2009) https://doi.org/10.1002/fld.1989
Postprocessing Finite-Element Methods for the Navier–Stokes Equations: The Fully Discrete Case
Javier de Frutos, Bosco García-Archilla and Julia Novo SIAM Journal on Numerical Analysis 47(1) 596 (2009) https://doi.org/10.1137/070707580
Stabilized multiscale finite element method for the stationary Navier–Stokes equations
Permeability calculations in three-dimensional isotropic and oriented fiber networks
Triantafyllos Stylianopoulos, Andrew Yeckel, Jeffrey J. Derby, et al. Physics of Fluids 20(12) 123601 (2008) https://doi.org/10.1063/1.3021477
Discontinuous Galerkin methods for the Stokes equations using divergence‐free approximations
A. Montlaur, S. Fernandez‐Mendez and A. Huerta International Journal for Numerical Methods in Fluids 57(9) 1071 (2008) https://doi.org/10.1002/fld.1716
DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS
CHRISTINE BERNARDI, VIVETTE GIRAULT and KUMBAKONAM R. RAJAGOPAL Mathematical Models and Methods in Applied Sciences 18(12) 2087 (2008) https://doi.org/10.1142/S0218202508003303
On multiscale FE analyses of heterogeneous structures: from homogenization to multigrid solvers
C. Miehe and C. G. Bayreuther International Journal for Numerical Methods in Engineering 71(10) 1135 (2007) https://doi.org/10.1002/nme.1972
A two‐phase flow interface capturing finite element method
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Mortar finite element discretization for the flow in a nonhomogeneous porous medium
Christine Bernardi, Frédéric Hecht and Zoubida Mghazli Computer Methods in Applied Mechanics and Engineering 196(8) 1554 (2007) https://doi.org/10.1016/j.cma.2006.03.018
Diamond elements: a finite element/discrete‐mechanics approximation scheme with guaranteed optimal convergence in incompressible elasticity
P. Hauret, E. Kuhl and M. Ortiz International Journal for Numerical Methods in Engineering 72(3) 253 (2007) https://doi.org/10.1002/nme.1992
Fold amplification rates and dominant wavelength selection in multilayer stacks
Developing Quantitative, Multiscale Models for Microgravity Crystal Growth
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Reduced Finite Element Discretizations of the Stokes and Navier-Stokes Equations
Error estimate in L2 of a covolume method for the generalized Stokes problem
Kab Seok Kang and Do Young Kwak Numerical Methods for Partial Differential Equations 22(1) 165 (2006) https://doi.org/10.1002/num.20091
Multifield Problems in Solid and Fluid Mechanics
Christian Miehe and Claus G. Bayreuther Lecture Notes in Applied and Computational Mechanics, Multifield Problems in Solid and Fluid Mechanics 28 361 (2006) https://doi.org/10.1007/978-3-540-34961-7_11
A mixed nonconforming finite element for linear elasticity
Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems
Paola Causin, Riccardo Sacco and Carlo L. Bottasso ESAIM: Mathematical Modelling and Numerical Analysis 39(6) 1087 (2005) https://doi.org/10.1051/m2an:2005050
A robust a priori error estimate for the Fortin–Soulie finite element method
Multidisciplinary Methods for Analysis Optimization and Control of Complex Systems
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