2 papers
cs.CE2024
Lamination-based efficient treatment of weak discontinuities for non-conforming finite element meshes
Jedrzej Dobrzanski, Kajetan Wojtacki, Stanislaw Stupkiewicz
When modelling discontinuities (interfaces) using the finite element method, the standard approach is to use a conforming finite-element mesh in which the mesh matches the interfac…
math.NA2024
Towards a sharper phase-field method: a hybrid diffuse-semisharp approach for microstructure evolution problems
Jedrzej Dobrzanski, Stanislaw Stupkiewicz
A new approach is developed for computational modelling of microstructure evolution problems. The approach combines the phase-field method with the recently-developed laminated ele…