47 citations · 190 across the 24 of their papers we have counts for
8 papers · 1 filter
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis
Kent-Andre Mardal, Jarle Sogn, Stefan Takacs
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 arriv…
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure
Wietse M. Boon, Miroslav Kuchta, Kent-Andre Mardal +1
We develop robust solvers for a class of perturbed saddle-point problems arising in the study of a second-order elliptic equation in mixed form (in terms of flux and potential), an…
Accurate Discretization Of Poroelasticity Without Darcy Stability -- Stokes-Biot Stability Revisited
Kent-Andre Mardal, Marie E. Rognes, Travis B. Thompson
In this manuscript we focus on the question: what is the correct notion of Stokes-Biot stability? Stokes-Biot stable discretizations have been introduced, independently by several…
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers
Miroslav Kuchta, Federica Laurino, Kent-Andre Mardal +1
Coupled partial differential equations defined on domains with different dimensionality are usually called mixed dimensional PDEs. We address mixed dimensional PDEs on three-dimens…
Parameter robust preconditioning for multi-compartmental Darcy equations
Eleonora Piersanti, Marie E. Rognes, Kent-Andre Mardal
In this paper, we propose a new finite element solution approach to the multi-compartmental Darcy equations describing flow and interactions in a porous medium with multiple fluid…
Parameter robust preconditioning by congruence for multiple-network poroelasticity
Eleonora Piersanti, Jeonghun J. Lee, Travis Thompson +2
The mechanical behaviour of a poroelastic medium permeated by multiple interacting fluid networks can be described by a system of time-dependent partial differential equations know…
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form
Karl Erik Holter, Miroslav Kuchta, Kent-Andre Mardal
The coupled Darcy-Stokes problem is widely used for modeling fluid transport in physical systems consisting of a porous part and a free part. In this work we consider preconditione…
Robust preconditioning of monolithically coupled multiphysics problems
Karl Erik Holter, Miroslav Kuchta, Kent-Andre Mardal
In many applications, one wants to model physical systems consisting of two different physical processes in two different domains that are coupled across a common interface. A cruc…