Add to ORKGWe introduce a solver and preconditioning technique based on Domain Decomposition and the Fast Diagonalization Method that can be applied to tensor product based discretizations of the steady convection-diffusion equation. The method is based on iterative substructuring where fast diagonalization is used to efficiently eliminate the interior degrees of freedom and subsidiary subdomain solves. We demonstrate the effectiveness of this method in numerical simulations using a spectral element discretization
In a convection-diffusion equation, if the convection term is very dominant, the linear system of eq...
space-time discontinuous-Galerkin spectral-element discretization is presented for direct numerical ...
In this manuscript, we describe effective solvers for the optimal control of stabilized convectiondi...
We introduce a preconditioning technique based on Domain Decomposition and the Fast Diagonalization ...
We consider the numerical solution of an unsteady convection-diffusion equation using high order pol...
We consider the numerical solution of an unsteady convection-diffusion equation using high order pol...
We report on a high‐fidelity, spectral/hp element algorithm developed for the direct numerical simul...
The convergence features of a preconditioned algorithm for the convection-diffusion equation based ...
Several explicit Taylor-Galerkin-based time integration schemes are proposed for the solution of bot...
The classical overlapping Schwarz algorithm is here extended to stabilized spectral element discreti...
The performance was tested of five different interface preconditionings for domain decomposed convec...
Spectral methods provide an efficient approach to simulate physical problems that require high accur...
Several new finite-difference schemes for a nonlinear convection-diffusion problem are constructed a...
AbstractSteady convection-diffusion equation in 2-D domain is considered. Central finite-difference ...
Spectral discretization in space and time of the weak formulation of a partial differential equation...
In a convection-diffusion equation, if the convection term is very dominant, the linear system of eq...
space-time discontinuous-Galerkin spectral-element discretization is presented for direct numerical ...
In this manuscript, we describe effective solvers for the optimal control of stabilized convectiondi...
We introduce a preconditioning technique based on Domain Decomposition and the Fast Diagonalization ...
We consider the numerical solution of an unsteady convection-diffusion equation using high order pol...
We consider the numerical solution of an unsteady convection-diffusion equation using high order pol...
We report on a high‐fidelity, spectral/hp element algorithm developed for the direct numerical simul...
The convergence features of a preconditioned algorithm for the convection-diffusion equation based ...
Several explicit Taylor-Galerkin-based time integration schemes are proposed for the solution of bot...
The classical overlapping Schwarz algorithm is here extended to stabilized spectral element discreti...
The performance was tested of five different interface preconditionings for domain decomposed convec...
Spectral methods provide an efficient approach to simulate physical problems that require high accur...
Several new finite-difference schemes for a nonlinear convection-diffusion problem are constructed a...
AbstractSteady convection-diffusion equation in 2-D domain is considered. Central finite-difference ...
Spectral discretization in space and time of the weak formulation of a partial differential equation...
In a convection-diffusion equation, if the convection term is very dominant, the linear system of eq...
space-time discontinuous-Galerkin spectral-element discretization is presented for direct numerical ...
In this manuscript, we describe effective solvers for the optimal control of stabilized convectiondi...