2 problems

0 votes0 replies0 views
The necessity of SBP structure for provably energy-stable numerical methods
The paper considers summation-by-parts (SBP) properties in discrete derivative operators and notes that the Active Flux method uses upwinding, with upwind SBP operators providing a…
Conjectureopennumerical-methods numerical-stability summation-by-partsarXiv posted 2 days ago
0 votes0 replies0 views
Duruflé's conjecture on the convergence rate of simplex-splitting-based LGL finite elements
A degree- $p$ TPSS-SBP operator is exact for polynomials up to degree $p$ , and is therefore expected to yield a solution convergence rate of $p+1$ when used to discretize PDEs with…
Conjectureopenfinite-elements numerical-analysis summation-by-partsarXiv posted 2 days ago

The necessity of SBP structure for provably energy-stable numerical methods