8 citations · 14 across the 13 of their papers we have counts for
5 papers · 2 filters
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…
Isogeometric Residual Minimization Method (iGRM) with Direction Splitting Preconditoner for Stationary Advection-Diffusion Problems
Victor M Calo, Marcin Łoś, Quanling Deng +2
In this paper, we introduce the isoGeometric Residual Minimization (iGRM) method. The method solves stationary advection-dominated diffusion problems. We stabilize the method via r…
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…
Residual minimization for isogeometric analysis in reduced and mixed forms
Victor M. Calo, Quanling Deng, Sergio Rojas +1
Most variational forms of isogeometric analysis use highly-continuous basis functions for both trial and test spaces. For a partial differential equation with a smooth solution, is…