19 citations · 47 across the 18 of their papers we have counts for
4 papers · 1 filter
Fast isogeometric solvers for hyperbolic wave propagation problems
Marcin Los, Pouria Behnoudfar, Maciej Paszynski +1
We use the alternating direction method to simulate implicit dynamics. ur spatial discretization uses isogeometric analysis. Namely, we simulate a (hyperbolic) wave propagation pro…
Split generalized- method: A linear-cost solver for a modified generalized-method for multi-dimensional second-order hyperbolic systems
Pouria Behnoudfar, Quanling Deng, Victor M. Calo
We propose a variational splitting technique for the generalized- method to solve hyperbolic partial differential equations. We use tensor-product meshes to develop the splittin…
Higher-order generalized- methods for hyperbolic problems
Pouria Behnoudfar, Quanling Deng, Victor M. Calo
The generalized- time-marching method provides second-order accuracy in time and controls the numerical dissipation in the high-frequency region of the discrete spectrum. This m…
High-order generalized- methods
Quanling Deng, Pouria Behnoudfar, Victor M. Calo
The generalized- method encompasses a wide range of time integrators. The method possesses high-frequency dissipation while minimizing unwanted low-frequency dissipation and the…