Section: Application Domains

Applications of Sparse Direct Solvers

In the context of our activity on sparse direct (multifrontal) solvers in distributed environments, our methods have a wide range of applications, and they are at the heart of many numerical methods in simulation: whether a model uses finite elements or finite differences, or requires the optimization of a complex linear or nonlinear function, one often ends up solving a linear system of equations involving sparse matrices. There are therefore a number of application fields, among which we list some cited by the users of our sparse direct solver Mumps (see Section  5.2 ): structural mechanics, biomechanics, medical image processing, tomography, geophysics, ad-hoc networking modeling (e.g., Markovian processes); electromagnetics, fluid dynamics, econometric models, oil reservoir simulation, magneto-hydro-dynamics, chemistry, acoustics, glaciology, astrophysics, circuit simulation.