Titlebook: Numerical Mathematics and Advanced Applications ENUMATH 2019; European Conference, Fred J. Vermolen,Cornelis Vuik Conference proceedings 20

Culmination

High Order Whitney Forms on Simplices and the Question of Potentials,unctions with assigned gradient, curl or divergence in domains with general topology. Three ingredients, that bear the name of their scientific fathers, are involved: the de Rham’s diagram and theorem, Hodge’s decomposition for vectors, Whitney’s differential forms. Some key images are presented in

Medicare

Throttle

jocular

NUL

Pelvic-Floor

托運(yùn)

Model Order Reduction Framework for Problems with Moving Discontinuities,l equations. The main ingredient is a novel decomposition of the solution into a function that tracks the evolving discontinuity and a residual part that is devoid of shock features. This decomposition ansatz is then combined with Proper Orthogonal Decomposition applied to the residual part only to

冷峻

縱欲

A Structure-Preserving Approximation of the Discrete Split Rotating Shallow Water Equations, of this slice model provides insight towards developing schemes for the full 2D case. Using the split Hamiltonian FE framework (Bauer et al., A structure-preserving split finite element discretization of the rotating shallow water equations in split Hamiltonian form (2019). .), we result in structu

linguistics

Iterative Coupling for Fully Dynamic Poroelasticity,rove its convergence in the Banach space setting for an abstract semi-discretization in time that allows the application of the family of diagonally implicit Runge–Kutta methods. Recasting the semi-discrete solution as the minimizer of a properly defined energy functional, the proof of convergence u