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20192025
most citedMapped coercivity for the stationary Navier-Stokes equations and their finite element approximations

5 citations · 10 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2025

Inf-sup condition for Stokes with outflow condition

Malte Braack, Thomas Richter

The inf-sup condition is one of the essential tools in the analysis of the Stokes equations and especially in numerical analysis. In its usual form, the condition states that for e…

math.NA2024★ 5 cited

Mapped coercivity for the stationary Navier-Stokes equations and their finite element approximations

Roland Becker, Malte Braack

This paper addresses the challenge of proving the existence of solutions for nonlinear equations in Banach spaces, focusing on the Navier-Stokes equations and discretizations of th…

math.NA2024

Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions

Igor Tominec, Josefin Ahlkrona, Malte Braack

This paper shows that the Stokes problem is well-posed when velocity and pressure simultaneously vanish on the domain boundary. This result is achieved by extending Nečas' inequali…

math.AP2023★ 1 cited

The concept of mapped coercivity for nonlinear operators in Banach spaces

Roland Becker, Malte Braack

We provide a concise proof of existence for nonlinear operator equations in separable Banach spaces. Notably, the operator is not assumed to be monotone. Instead, our main hypothes…

math.NA2019★ 4 cited

An Adaptive Moving Finite Element Method for Steady Low Mach Number Compressible Combustion Problems

Zhen Sun, Malte Braack, Jens Lang

This work surveys an r-adaptive moving mesh finite element method for the numerical solution of premixed laminar flame problems. Since the model of chemically reacting flow involve…