A mortar mixed finite volume method for elliptic problems on non-matching multi-block triangular grids
DOI10.1007/s10915-017-0405-zzbMath1380.65332OpenAlexW2591755246MaRDI QIDQ1685501
Publication date: 14 December 2017
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0405-z
convergenceerror estimatenumerical experimentnon-matching gridsmixed finite volume methodmortar finite element spacemulti-block domain
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)
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Cites Work
- Unnamed Item
- Superconvergence of mixed covolume method on quadrilateral grids for elliptic problems
- A mixed nonoverlapping covolume method on quadrilateral grids for elliptic problems
- Enhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids. Analysis and applications to transport of reactive species in multiphase flow through porous mediaEnhanced velocity mixed finite element methods for modeling coupled flow and transport on non-matching multiblock grids analysis and applications to transport of reactive species in multiphase flow through porous media
- A unified stabilized mixed finite element method for coupling Stokes and Darcy flows
- A model for conductive faults with non-matching grids
- Domain decomposition for coupled Stokes and Darcy flows
- On the finite volume element method
- Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems
- Superconvergence of mixed covolume method for elliptic problems on triangular grids
- A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids
- Superconvergence of a mixed covolume method for elliptic problems
- Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems
- Enhanced velocity mixed finite element methods for flow in multiblock domains
- Mixed element method for two-dimensional Darcy-Forchheimer model
- Mortar multiscale finite element methods for Stokes-Darcy flows
- Convergence of an upwind control-volume mixed finite element method for convection-diffusion problems
- General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
- A Stabilized Equal-Order Finite Volume Method for the Stokes Equations
- An expanded mixed covolume method for elliptic problems
- Mixed and Hybrid Finite Element Methods
- Mixed Covolume Methods for Elliptic Problems on Triangular Grids
- Analysis of a New Mixed Finite Volume Method
- Mixed Finite Element Methods on Nonmatching Multiblock Grids
- A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
- Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
- The Mathematical Theory of Finite Element Methods
- A construction of higher-order finite volume methods
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