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20122026
most citedAdaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems

76 citations · 315 across the 31 of their papers we have counts for

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3 papers · 1 filter

math.NA2024

Aubin--Nitsche-type estimates for space-time FOSLS for parabolic PDEs

Thomas Führer, Gregor Gantner

We develop Aubin--Nitsche-type estimates for recently proposed first-order system least-squares finite element methods (FOSLS) for the heat equation. Under certain assumptions, whi…

math.NA2024

Quasi-interpolators with application to postprocessing in finite element methods

Thomas Führer, Manuel A. Sánchez

We design quasi-interpolation operators based on piecewise polynomial weight functions of degree less than or equal to that map into the space of continuous piecewise polynomia…

math.NA2024

Robust hybrid finite element methods for reaction-dominated diffusion problems

Thomas Führer, Diego Paredes

For a reaction-dominated diffusion problem we study a primal and a dual hybrid finite element method where weak continuity conditions are enforced by Lagrange multipliers. Uniform…