Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains. - Miroslav Kuchta; Magne Nordaas; Joris C. G. Verschaeve; Mikael Mortensen; Kent-André Mardal (SIAM J. Sci. Comput., 2016)

Assembly of Multiscale Linear PDE Operators. - Miroslav Kuchta (ENUMATH, 2019)

On the singular Neumann problem in linear elasticity. - Miroslav Kuchta; Kent-André Mardal; Mikael Mortensen (Numer. Linear Algebra Appl., 2019)

Multigrid Methods for Discrete Fractional Sobolev Spaces. - Trygve Bærland; Miroslav Kuchta; Kent-André Mardal (SIAM J. Sci. Comput., 2019)

Robust preconditioning of monolithically coupled multiphysics problems. - Karl Erik Holter; Miroslav Kuchta; Kent-André Mardal (CoRR, 2020)

Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. - Karl Erik Holter; Miroslav Kuchta; Kent-André Mardal (Comput. Math. Appl., 2021)

Hybrid FEM-NN models: Combining artificial neural networks with the finite element method. - Sebastian K. Mitusch; Simon W. Funke; Miroslav Kuchta (J. Comput. Phys., 2021)

Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers. - Miroslav Kuchta; Federica Laurino; Kent-André Mardal; Paolo Zunino (SIAM J. Numer. Anal., 2021)

Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure. - Wietse M. Boon; Miroslav Kuchta; Kent-André Mardal; Ricardo Ruiz-Baier (SIAM J. Sci. Comput., 2021)

Rational Approximation Preconditioners for Multiphysics Problems. - Ana Budisa; Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Ludmil T. Zikatanov (NMA, 2022)

Investigating molecular transport in the human brain from MRI with physics-informed neural networks. - Bastian Zapf; Johannes Haubner; Miroslav Kuchta; Geir Ringstad; Per Kristian Eide; Kent-André Mardal (CoRR, 2022)

Learning a Mesh Motion Technique with Application to Fluid-Structure Interaction and Shape Optimization. - Johannes Haubner; Miroslav Kuchta (CoRR, 2022)

Domain decomposition solvers for operators with fractional interface perturbations. - Miroslav Kuchta (CoRR, 2022)

Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. - Wietse M. Boon; Martin Hornkjøl; Miroslav Kuchta; Kent-André Mardal; Ricardo Ruiz-Baier (J. Comput. Phys., 2022)

Robust Approximation of Generalized Biot-Brinkman Problems. - Qingguo Hong; Johannes Kraus 001; Miroslav Kuchta; Maria Lymbery; Kent-André Mardal; Marie E. Rognes (J. Sci. Comput., 2022)

Robust Monolithic Solvers for the Stokes-Darcy Problem with the Darcy Equation in Primal Form. - Wietse M. Boon; Timo Koch; Miroslav Kuchta; Kent-André Mardal (SIAM J. Sci. Comput., 2022)

The modelling error in multi-dimensional time-dependent solute transport models. - Rami Masri; Marius Zeinhofer; Miroslav Kuchta; Marie E. Rognes (CoRR, 2023)

Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers. - Nunzio Dimola; Miroslav Kuchta; Kent-André Mardal; Paolo Zunino (CoRR, 2023)

HAZniCS - Software Components for Multiphysics Problems. - Ana Budisa; Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Ludmil T. Zikatanov (ACM Trans. Math. Softw., 2023)

A Discontinuous Galerkin Method for the Extracellular Membrane Intracellular Model. - Rami Masri; Keegan L. A. Kirk; Eirill Hauge; Miroslav Kuchta (CoRR, 2024)

Discontinuous Galerkin Methods for 3D-1D Systems. - Rami Masri; Miroslav Kuchta; Beatrice Riviere (SIAM J. Numer. Anal., 2024)

Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. - Ana Budisa; Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Ludmil T. Zikatanov (SIAM J. Sci. Comput., 2024)

A Splitting, Discontinuous Galerkin Solver for the Cell-by-Cell Electroneutral Nernst-Planck Framework. - Ada J. Ellingsrud; Pietro Benedusi; Miroslav Kuchta (SIAM J. Sci. Comput., 2025)

Parameter-Robust Preconditioners for A Four-Field Thermo-Poroelasticity Model. - Mingchao Cai; Miroslav Kuchta; Jingzhi Li; Ziliang Li; Kent-André Mardal (CoRR, 2025)

A coupled HDG/DG method for porous media with conducting/sealing faults. - Ayçil Çesmelioglu; Miroslav Kuchta; Jeonghun J. Lee; Sander Rhebergen (CoRR, 2025)

Parameter-robust preconditioner for Stokes-Darcy coupled problem with Lagrange multiplier. - Xiaozhe Hu; Miroslav Kuchta; Kent-André Mardal; Xue Wang (CoRR, 2025)

Efficient and robust solvers for a cell-by-cell dual-poroelasticity problem. - Marius Causemann; Miroslav Kuchta (CoRR, 2025)