Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates
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Publication:267676
DOI10.1515/cmam-2015-0037zbMath1337.65142OpenAlexW2565347553WikidataQ110236326 ScholiaQ110236326MaRDI QIDQ267676
Svetlana Matculevich, Sergey I. Repin
Publication date: 11 April 2016
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2015-0037
Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
- Unnamed Item
- A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality
- Estimates of deviations from exact solutions of variational inequalities based upon Payne-Weinberger inequality
- Automated solution of differential equations by the finite element method. The FEniCS book
- Sloshing frequencies
- A posteriori error estimation for elasto-plastic problems based on duality theory
- Eigenstructure of the equilateral triangle. II: The Neumann problem
- A posteriori error analysis for elliptic PDEs on domains with complicated structures
- Guaranteed high-precision estimation for \(P_0\) interpolation constants on triangular finite elements
- Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions
- Exact constants in Poincaré type inequalities for functions with zero mean boundary traces
- Maximizing Neumann fundamental tones of triangles
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- The Eigenvalues of an Equilateral Triangle
- On the Angle Condition in the Finite Element Method
- The ice-fishing problem: the fundamental sloshing frequency versus geometry of holes
- Fully Reliable Localized Error Control in the FEM
- Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis
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