1 citations · 2 across the 6 of their papers we have counts for
6 papers · 1 filter
A boundary-penalized isogeometric analysis for second-order hyperbolic equations
Quanling Deng, Pouria Behnoudfar, Victor Calo
Explicit time-marching schemes are popular for solving time-dependent partial differential equations; one of the biggest challenges these methods suffer is increasing the critical…
Higher-order generalized- methods for parabolic problems
Pouria Behnoudfar, Quanling Deng, Victor M. Calo
We propose a new class of high-order time-marching schemes with dissipation user-control and unconditional stability for parabolic equations. High-order time integrators can delive…
Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm
Sergio Rojas, David Pardo, Pouria Behnoudfar +1
We propose a goal-oriented mesh-adaptive algorithm for a finite element method stabilized via residual minimization on dual discontinuous-Galerkin norms. By solving a saddle-point…
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…