5 papers
Scalable solvers for complex electromagnetics problems
Santiago Badia, Alberto F. Martín, Marc Olm
In this work, we present scalable balancing domain decomposition by constraints methods for linear systems arising from arbitrary order edge finite element discretizations of multi…
On a general implementation of - and -adaptive curl-conforming finite elements
Marc Olm, Santiago Badia, Alberto F. Martín
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, specially for high order met…
Simulation of high temperature superconductors and experimental validation
Marc Olm, Santiago Badia, Alberto F. Martín
In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic response of superconducting devices, which a…
Nonlinear parallel-in-time multilevel Schur complement solvers for ordinary differential equations
Santiago Badia, Marc Olm
In this work, we propose a parallel-in-time solver for linear and nonlinear ordinary differential equations. The approach is based on an efficient multilevel solver of the Schur co…
Space-time balancing domain decomposition
Santiago Badia, Marc Olm
In this work, we propose two-level space-time domain decomposition preconditioners for parabolic problems discretized using finite elements. They are motivated as an extension to s…