On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations
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Publication:2260381
DOI10.1016/j.jmaa.2013.09.023zbMath1307.65131OpenAlexW2029478152MaRDI QIDQ2260381
Publication date: 10 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.09.023
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Cites Work
- Galerkin finite element methods for parabolic problems
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- A general approach to counterexamples in numerical analysis
- Quantitative extensions of the uniform boundedness principle
- Riemann integration in Banach spaces
- On the sharpness of error bounds for the numerical solution of initial boundary value problems by finite difference schemes
- Sharp error bounds for the Crank-Nicolson and Saulyev difference scheme in connection with an initial boundary value problem for the inhomogeneous heat equation
- A sharp error bound in terms of an averaged modulus of smoothness for Fourier Lagrange coefficients
- Differential equation s in abstract spaces
- A SHARP ERROR ESTIMATE FOR THE NUMERICAL SOLUTION OF MULTIVARIATE DIRICHLET PROBLEM FOR THE HEAT EQUATION
- The green's function of a compact discretization
- The sharpness of a pointwise error bound in connection with linear finite elements
- On the sharpness of error bounds in connection with finite difference schemes on uniform grids for boundary value problems of ordinary differential equations
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