Non-uniform order mixed FEM approximation: implementation, post-processing, computable error bound and adaptivity
DOI10.1016/j.jcp.2011.09.011zbMath1243.65135OpenAlexW2015046204MaRDI QIDQ418970
Publication date: 30 May 2012
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.09.011
numerical examplesflow in porous mediaelectromagneticsmixed finite element methodelliptic problempost-processingposteriori error estimationcomputable error bounds
Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (13)
Cites Work
- Unnamed Item
- Some new families of finite elements for the Stokes equations
- The h-p version of the finite element method. I. The basic approximation results
- The h-p version of the finite element method. II. General results and applications
- Aspects of an adaptive \(hp\)-finite element method: Adaptive strategy, conforming approximation and efficient solvers
- Error estimators for a mixed method
- A posteriori error estimate for the mixed finite element method
- Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
- Energy norm a posteriori error estimates for mixed finite element methods
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation
- A Posteriori Error Estimation for Lowest Order Raviart–Thomas Mixed Finite Elements
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- An Inexpensive Method for the Evaluation of the Solution of the Lowest Order Raviart–Thomas Mixed Method
- Mixed and Hybrid Finite Element Methods
- Hierarchic finite element bases on unstructured tetrahedral meshes
- hp-Approximation Theory forBDFMandRTFinite Elements on Quadrilaterals
- A Posteriori Error Estimators for the Raviart–Thomas Element
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Computing with hp-ADAPTIVE FINITE ELEMENTS
- Postprocessing schemes for some mixed finite elements
- A Set of Principles to Interconnect the Solutions of Physical Systems
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