Mixed methods using standard conforming finite elements
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Publication:658163
DOI10.1016/j.cma.2008.10.002zbMath1229.76052OpenAlexW2074481576MaRDI QIDQ658163
Jichun Li, Yunqing Huang, Todd Arbogast
Publication date: 11 January 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2008.10.002
Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)
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Uses Software
Cites Work
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- Prismatic mixed finite elements for second order elliptic problems
- Optimal \(L^{\infty}\)-error estimates for nonconforming and mixed finite element methods of lowest order
- Two families of mixed finite elements for second order elliptic problems
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- Mixed finite elements for second order elliptic problems in three variables
- Mixed finite elements in \(\mathbb{R}^3\)
- Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
- The full approximation accuracy for the stream function-vorticity- pressure method
- Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data
- The approximation of the pressure by a mixed method in the simulation of miscible displacement
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Error estimates for some mixed finite element methods for parabolic type problems
- Mixed and Hybrid Finite Element Methods
- MIXED FINITE ELEMENT METHODS WITH CONTINUOUS STRESSES
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems
- A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems
- A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
- A Priori Estimates for Mixed Finite Element Approximations of Second-Order Hyperbolic Equations with Absorbing Boundary Conditions
- A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems
- Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
