We consider the linear elasticity equation, discretized with multi-patch Isogeometric Analysis.
A standard discretization error analysis is based on Korn’s inequality, which degrades for …

The importance of Schur-complement-based preconditioners is well established for classical
saddle point problems in $\mathbb{R}^N \times \mathbb{R}^M$ . In this paper we extend …

In this paper, we develop multigrid solvers for the biharmonic problem in the framework of
isogeometric analysis (IgA). In this framework, one typically sets up B-splines on the unit …

The parameter dependent Brinkman equation can be used to model viscous and porous
flow. The equation covers a family of problems, ranging from the Stokes problem to the Darcy …

In this paper we consider multiple saddle point problems with block tridiagonal Hessian in a
Hilbert space setting. Well-posedness and the related issue of preconditioning are discussed…

We are interested in a fast solver for the Stokes equations, discretized with multi-patch
Isogeometric Analysis. In the last years, several inf-sup stable discretizations for the Stokes …

We consider a PDE-constrained optimization problem of tracking type with parabolic state
equation. The solution to the problem is characterized by the Karush-Kuhn-Tucker (KKT) …

In this paper, we analyze an optimization problem with limited observation governed by a
convection--diffusion--reaction equation. Motivated by a Schur complement approach, we …

We develop a multigrid solver for the second biharmonic problem in the context of Isogeometric
Analysis (IgA), where we also allow a zero-order term. In a previous paper, the authors …

We are interested in a fast solver for linear systems obtained by discretizing the Stokes
problem with multi-patch Isogeometric Analysis. We use Dual-Primal Isogeometric Tearing and …