Convergence of the mimetic finite difference method for eigenvalue problems in mixed form
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Publication:646343
DOI10.1016/j.cma.2010.06.011zbMath1225.65106OpenAlexW2028527899MaRDI QIDQ646343
Andrea Cangiani, Gianmarco Manzini, Francesca Gardini
Publication date: 16 November 2011
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.2010.06.011
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
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- Solving diffusion equations with rough coefficients in rough grids
- Flux reconstruction and solution post-processing in mimetic finite difference methods
- Convergence analysis of the high-order mimetic finite difference method
- Higher-order mimetic methods for unstructured meshes
- High-order mimetic finite difference method for diffusion problems on polygonal meshes
- Multiscale mixed/mimetic methods on corner-point grids
- A new discretization methodology for diffusion problems on generalized polyhedral meshes
- A discrete operator calculus for finite difference approximations
- A residual based error estimator for the mimetic finite difference method
- Finite element approximation of eigenvalue problems
- Reentrant polygon clipping
- Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
- Ana posteriorierror estimator for the mimetic finite difference approximation of elliptic problems
- Mimetic finite differences for elliptic problems
- Polynomial Approximation of Functions in Sobolev Spaces
- Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
- On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
- A Higher-Order Formulation of the Mimetic Finite Difference Method
- CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES
- The Mathematical Theory of Finite Element Methods
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
- On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
- Equivalent Norms for Sobolev Spaces
- QuadrilateralH(div) Finite Elements
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- A tensor artificial viscosity using a mimetic finite differential algorithm
