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On the causes of pressure oscillations in low‐permeable and low‐compressible porous media
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Connections between discontinuous Galerkin and nonconforming finite element methods for the Stokes equations
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Nonconforming rotated Q1 tetrahedral element with explicit time stepping for elastodynamics
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Christian A. Rivera, Mourad Heniche, François Bertrand, Roland Glowinski and Philippe A. Tanguy International Journal for Numerical Methods in Fluids 69(3) 653 (2012) https://doi.org/10.1002/fld.2579
Application of the control volume mixed finite element method to a triangular discretization
The Euler Implicit/Explicit Schemes with Nonconforming Finite Element Method of Subgrid Eddy Viscosity Type for the 2D Time-Dependent
Navier-Stokes Equations
Finite Volumes for Complex Applications VI Problems & Perspectives
A. Fettah and T. Gallouët Springer Proceedings in Mathematics, Finite Volumes for Complex Applications VI Problems & Perspectives 4 457 (2011) https://doi.org/10.1007/978-3-642-20671-9_48
An unconditionally stable finite element-finite volume pressure correction scheme for the drift-flux model
Laura Gastaldo, Raphaèle Herbin and Jean-Claude Latché ESAIM: Mathematical Modelling and Numerical Analysis 44(2) 251 (2010) https://doi.org/10.1051/m2an/2010002
Nonconforming finite elements for the equation of planar elasticity
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
A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem
Mixed finite element methods for incompressible flow: Stationary Stokes equations
Zhiqiang Cai, Charles Tong, Panayot S. Vassilevski and Chunbo Wang Numerical Methods for Partial Differential Equations 26(4) 957 (2010) https://doi.org/10.1002/num.20467
Stabilized multiscale finite element method for the stationary Navier–Stokes equations
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
On the heterogeneous multiscale method with various macroscopic solvers
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
A stabilized nonconfirming finite element method based on multiscale enrichment for the stationary Navier–Stokes equations
Mixed Finite Elements, Compatibility Conditions, and Applications
Daniele Boffi, Franco Brezzi and Michel Fortin Lecture Notes in Mathematics, Mixed Finite Elements, Compatibility Conditions, and Applications 1939 45 (2008) https://doi.org/10.1007/978-3-540-78319-0_2
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
An accurate finite element scheme with moving meshes for computing 3D‐axisymmetric interface flows
Sashikumaar Ganesan and Lutz Tobiska International Journal for Numerical Methods in Fluids 57(2) 119 (2008) https://doi.org/10.1002/fld.1624
Mixed Finite Elements, Compatibility Conditions, and Applications
A two‐phase flow interface capturing finite element method
C. Devals, M. Heniche, F. Bertrand, P. A. Tanguy and R. E. Hayes International Journal for Numerical Methods in Fluids 53(5) 735 (2007) https://doi.org/10.1002/fld.1303
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
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
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
Fold amplification rates and dominant wavelength selection in multilayer stacks
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
Developing Quantitative, Multiscale Models for Microgravity Crystal Growth
JEFFREY J. DERBY, YONG‐Il KWON, ARUN PANDY, PAUL SONDA, ANDREW YECKEL, THOMAS JUNG and AND GEORG MÜLLER Annals of the New York Academy of Sciences 1077(1) 124 (2006) https://doi.org/10.1196/annals.1362.063
On the inf–sup Condition for the Pmod3 / Pdisc2 Element
Multidisciplinary Methods for Analysis Optimization and Control of Complex Systems
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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