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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…