8 citations · 19 across the 18 of their papers we have counts for
8 papers · 1 filter
Phase-field gradient theory
Luis Espath, Victor Calo
We propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, micro…
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…
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
Victor M. Calo, Alexandre Ern, Ignacio Muga +1
We design and analyze a new adaptive stabilized finite element method. We construct a discrete approximation of the solution in a continuous trial space by minimizing the residual…
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…