46 citations · 230 across the 16 of their papers we have counts for
3 papers · 1 filter
An Arbitrary High Order and Positivity Preserving Method for the Shallow Water Equations
Mirco Ciallella, Lorenzo Micalizzi, Philipp Öffner +1
In this paper, we develop and present an arbitrary high order well-balanced finite volume WENO method combined with the modified Patankar Deferred Correction (mPDeC) time integrati…
Issues with Positivity-Preserving Patankar-type Schemes
Davide Torlo, Philipp Öffner, Hendrik Ranocha
Patankar-type schemes are linearly implicit time integration methods designed to be unconditionally positivity-preserving. However, there are only little results on their stability…
Relaxation Deferred Correction Methods and their Applications to Residual Distribution Schemes
Rémi Abgrall, Elise Le Mélédo, Philipp Öffner +1
In [1] is proposed a simplified DeC method, that, when combined with the residual distribution (RD) framework, allows to construct a high order, explicit FE scheme with continuous…