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4 papers · 2 filters
Adaptive solution of initial value problems by a dynamical Galerkin scheme
Rodrigo M. Pereira, Natacha Nguyen van yen, Kai Schneider +1
We study dynamical Galerkin schemes for evolutionary partial differential equations (PDEs), where the projection operator changes over time. When selecting a subset of basis functi…
A Characteristic Mapping Method for the three-dimensional incompressible Euler equations
Xi-Yuan Yin, Kai Schneider, Jean-Christophe Nave
We propose an efficient semi-Lagrangian Characteristic Mapping (CM) method for solving the three-dimensional (3D) incompressible Euler equations. This method evolves advected quant…
Weak Consistency of Finite Volume Schemes for Systems of Non Linear Conservation Laws: Extension to Staggered Schemes
T Gallouët, R Herbin, J. -C Latché
We prove in this paper the weak consistency of a general finite volume convection operator acting on discrete functions which are possibly not piecewise-constant over the cells of…
Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics
Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Odim Mendes +1
Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally ref…