4 papers
An ultraweak variational method for parameterized linear differential-algebraic equations
Emil Beurer, Moritz Feuerle, Niklas Reich +1
We investigate an ultraweak variational formulation for (parameterized) linear differential-algebraic equations (DAEs) w.r.t. the time variable which yields an optimally stable sys…
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution
Julian Henning, Davide Palitta, Valeria Simoncini +1
We introduce a very weak space-time variational formulation for the wave equation, prove its well-posedness (even in the case of minimal regularity) and optimal inf-sup stability.…
Linear/Ridge expansions: Enhancing linear approximations by ridge functions
Constantin Greif, Philipp Junk, Karsten Urban
We consider approximations formed by the sum of a linear combination of given functions enhanced by ridge functions -- a Linear/Ridge expansion. For an explicitly or implicitly giv…
Matrix oriented reduction of space-time Petrov-Galerkin variational problems
Julian Henning, Davide Palitta, Valeria Simoncini +1
Variational formulations of time-dependent PDEs in space and time yield -dimensional problems to be solved numerically. This increases the number of unknowns as well as the…