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18 papers · 2 filters
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
We provide an endpoint stability result for Scott-Zhang type operators in Besov spaces. For globally continuous piecewise polynomials these are bounded from into $B^{3/2}…
An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and its Application to the Construction of Exponential Integrators
Harald Hofstätter, Winfried Auzinger, Othmar Koch
This paper discusses an efficient implementation of the generation of order conditions for the construction of exponential integrators like exponential splitting and Magnus-type me…
A finite-volume scheme for a cross-diffusion model arising from interacting many-particle population systems
Ansgar Jüngel, Antoine Zurek
A finite-volume scheme for a cross-diffusion model arising from the mean-field limit of an interacting particle system for multiple population species is studied. The existence of…
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation
Matthias Taus, Leonardo Zepeda-Núñez, Russell J Hewett +1
We present the first fast solver for the high-frequency Helmholtz equation that scales optimally in parallel, for a single right-hand side. The L-sweeps approach achieves this scal…
Adaptive IGAFEM with optimal convergence rates: T-splines
Gregor Gantner, Dirk Praetorius
We consider an adaptive algorithm for finite element methods for the isogeometric analysis (IGAFEM) of elliptic (possibly non-symmetric) second-order partial differential equations…
Complex scaled infinite elements for exterior Helmholtz problems
Lothar Nannen, Markus Wess
The technique of complex scaling for time harmonic wave type equations relies on a complex coordinate stretching to generate exponentially decaying solutions. In this work, we use…