6 papers
A note on the discrete Unmapped Tent Pitching for the heterogeneous wave equation
Marcella Bonazzoli, Gabriele Ciaramella, Ilario Mazzieri
The Unmapped Tent Pitching (UTP) algorithm is a space-time domain decomposition method for the parallel solution of wave-type problems. We have recently extended UTP to heterogeneo…
A Scalable Deflated Conjugate Gradient Solver for the Time-Dependent Pseudo-Stress Stokes Problem
Alessandra Cancrini, Gabriele Ciaramella, Paola F. Antonietti
We propose a novel iterative solution framework for the unsteady Stokes equations in the pseudo-stress formulation. When solving this class of problems by using implicit time-integ…
Optimized Schwarz Waveform Relaxation for the Damped Wave Equation
Gerardo Cicalese, Gabriele Ciaramella, Ilario Mazzieri +1
The performance of Schwarz Waveform Relaxation is critically dependent on the choice of transmission conditions. While classical absorbing conditions work well for wave propagation…
Numerical Verification of PolyDG Algebraic Solvers for the Pseudo-Stress Stokes Problem
Paola F. Antonietti, Alessandra Cancrini, Gabriele Ciaramella
This work focuses on the development of efficient solvers for the pseudo-stress formulation of the unsteady Stokes problem, discretised by means of a discontinuous Galerkin method…
Discontinuous Galerkin time integration for second-order differential problems: formulations, analysis, and analogies
Gabriele Ciaramella, Martin J. Gander, Ilario Mazzieri
We thoroughly investigate Discontinuous Galerkin (DG) discretizations as time integrators for second-order oscillatory systems, considering both second-order and first-order formul…
A review of discontinuous Galerkin time-stepping methods for wave propagation problems
Paola F. Antonietti, Alberto Artoni, Gabriele Ciaramella +1
This chapter reviews and compares discontinuous Galerkin time-stepping methods for the numerical approximation of second-order ordinary differential equations, particularly those s…