16 citations · 61 across the 19 of their papers we have counts for
19 papers
Error analysis for a viscoelastic phase separation model
Aaron Brunk, Herbert Egger, Oliver Habrich +1
We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discreti…
Robust a posteriori error control for the Allen-Cahn equation with variable mobility
Aaron Brunk, Jan Giesselmann, Maria Lukacova-Medvidova
In this work, we derive a -robust a posteriori error estimator for finite element approximations of the Allen-Cahn equation with variable non-degenerate mobility. The estimator…
Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability
Aaron Brunk, Oliver Habrich, Timileyin David Oyedeji +2
A Cahn-Hilliard-Allen-Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the probl…
Fundamentals of the Oldroyd-B model revisited: Tensorial vs. vectorial theory
Aaron Brunk, Joydip Chaudhuri, Maria Lukacova-Medvidova +1
The standard derivation of the Oldroyd-B model starts from a coupled system of the momentum equation for the macroscopic flow on the one hand, and Fokker-Planck dynamics for molecu…
A second-order structure-preserving discretization for the Cahn-Hilliard/Allen-Cahn system with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Oliver Habrich
We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete appr…
On existence, uniqueness and stability of solutions to Cahn-Hilliard/Allen-Cahn systems with cross-kinetic coupling
Aaron Brunk, Herbert Egger, Timileyin David Oyedeji +2
A system of phase-field equations with strong-coupling through state and gradient dependent non-diagonal mobility matrices is studied. Existence of weak solutions is established by…