Barrier Function Local and Global Analysis of an L1 Finite Element Method for a Multiterm Time-Fractional Initial-Boundary Value Problem

Galerkin Finite Element Methods for Parabolic Problems

Rolf Rannacher, Vidar Thomée · Springer series in computational mathematics · 1985 · 2.2K citations

Computing, Computational Engineering, Computational Mechanics +16

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

Martin Stynes, Eugene O’Riordan, J.L. Gracia · SIAM Journal on Numerical Analysis · 2017 · 939 citations · Full text

Computing, Computational Engineering, Computational Mechanics +16

Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview

Bangti Jin, Raytcho Lazarov, Zhi Zhou · Computer Methods in Applied Mechanics and Engineering · 2018 · 193 citations · Full text

Natural Sciences, Mathematics, Physics +16

On the stability of the $L^2$ projection in $H^1(\Omega)$

James H. Bramble, Joseph E. Pasciak, Olaf Steinbach · Mathematics of Computation · 2001 · 170 citations

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Error Analysis for a Fractional-Derivative Parabolic Problem on Quasi-Graded Meshes using Barrier Functions

Natalia Kopteva, Xiangyun Meng · SIAM Journal on Numerical Analysis · 2020 · 80 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +16