Kent-André Mardal

69 papers Misc 1Journal 64Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Parameter-Robust Preconditioner for Stokes-Darcy Coupled Problem with Lagrange Multiplier. SIAM J. Sci. Comput. Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Xue Wang
2026	J	`jnl`	Parameter-Robust Preconditioners for a Four-Field Thermo-Poroelasticity Model. SIAM J. Sci. Comput. Mingchao Cai, Miroslav Kuchta, Jingzhi Li, Ziliang Li, Kent-André Mardal
2025	J	`jnl`	A cut finite element method for the Biot system of poroelasticity. CoRR Nanna Berre, Kent-André Mardal, André Massing, Ivan Yotov
2025	J	`jnl`	On a robust inf-sup condition for the Stokes problem in slender domains - with application to preconditioning. CoRR Espen Sande, Timo Koch, Miroslav Kuchta, Kent-André Mardal
2025	J	`jnl`	Parameter-Robust Preconditioners for A Four-Field Thermo-Poroelasticity Model. CoRR Mingchao Cai, Miroslav Kuchta, Jingzhi Li, Ziliang Li, Kent-André Mardal
2025	J	`jnl`	Parameter-robust preconditioner for Stokes-Darcy coupled problem with Lagrange multiplier. CoRR Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Xue Wang
2024	J	`jnl`	A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis. CoRR Kent-André Mardal, Jarle Sogn, Stefan Takacs
2024	J	`jnl`	Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. SIAM J. Sci. Comput. Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2024	J	`jnl`	Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Comput. Math. Appl. Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
2024	J	`jnl`	U-net based prediction of cerebrospinal fluid distribution and ventricular reflux grading. CoRR Melanie Rieff, Fabian Holzberger, Oksana Lapina, Geir Ringstad, Lars Magnus Valnes, Bogna Warsza, Kent-André Mardal, Per Kristian Eide, Barbara I. Wohlmuth
2023	J	`jnl`	A Unified Framework for the Error Analysis of Physics-Informed Neural Networks. CoRR Marius Zeinhofer, Rami Masri, Kent-André Mardal
2023	J	`jnl`	Algebraic multigrid methods for metric-perturbed coupled problems. CoRR Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil Tomov Zikatanov
2023	J	`jnl`	Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. CoRR Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
2023	J	`jnl`	HAZniCS - Software Components for Multiphysics Problems. ACM Trans. Math. Softw. Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2023	J	`jnl`	Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers. CoRR Nunzio Dimola, Miroslav Kuchta, Kent-André Mardal, Paolo Zunino
2023	J	`jnl`	Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion. SIAM J. Numer. Anal. Bryan Gomez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier, Vegard Vinje
2023	J	`jnl`	Variational Formulations of the Strong Formulation - Forward and Inverse Modeling using Isogeometric Analysis and Physics-Informed Networks. CoRR Kent-André Mardal, Jarle Sogn, Marius Zeinhofer
2022	J	`jnl`	HAZniCS - Software Components for Multiphysics Problems. CoRR Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2022	J	`jnl`	Investigating molecular transport in the human brain from MRI with physics-informed neural networks. CoRR Bastian Zapf, Johannes Haubner, Miroslav Kuchta, Geir Ringstad, Per Kristian Eide, Kent-André Mardal
2022	J	`jnl`	Model order reduction of solidification problems. CoRR Florian Arbes, Øyvind Jensen, Kent-André Mardal, Jørgen S. Dokken
2022	J	`jnl`	Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. J. Comput. Phys. Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
2022	—	`conf`	Rational Approximation Preconditioners for Multiphysics Problems. NMA Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2022	J	`jnl`	Rational approximation preconditioners for multiphysics problems. CoRR Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
2022	J	`jnl`	Robust Approximation of Generalized Biot-Brinkman Problems. J. Sci. Comput. Qingguo Hong, Johannes Kraus, Miroslav Kuchta, Maria Lymbery, Kent-André Mardal, Marie E. Rognes
2022	J	`jnl`	Robust Monolithic Solvers for the Stokes-Darcy Problem with the Darcy Equation in Primal Form. SIAM J. Sci. Comput. Wietse M. Boon, Timo Koch, Miroslav Kuchta, Kent-André Mardal
2022	J	`jnl`	Robust Preconditioning and Error Estimates for Optimal Control of the Convection-Diffusion-Reaction Equation with Limited Observation in Isogeometric Analysis. SIAM J. Numer. Anal. Kent-André Mardal, Jarle Sogn, Stefan Takacs
2021	J	`jnl`	Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers. SIAM J. Numer. Anal. Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino
2021	J	`jnl`	Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity. SIAM J. Sci. Comput. Eleonora Piersanti, Jeonghun J. Lee, Travis B. Thompson, Kent-André Mardal, Marie E. Rognes
2021	J	`jnl`	Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. CoRR Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
2021	J	`jnl`	Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure. SIAM J. Sci. Comput. Wietse M. Boon, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
2021	J	`jnl`	Robust approximation of generalized Biot-Brinkman problems. CoRR Qingguo Hong, Johannes K. Kraus, Miroslav Kuchta, Maria Lymbery, Kent-André Mardal, Marie E. Rognes
2021	J	`jnl`	Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form. CoRR Wietse M. Boon, Timo Koch, Miroslav Kuchta, Kent-André Mardal
2021	J	`jnl`	Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Comput. Math. Appl. Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
2021	J	`jnl`	Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. CoRR Bryan Gomez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier, Vegard Vinje
2020	J	`jnl`	Accurate Discretization Of Poroelasticity Without Darcy Stability - Stokes-Biot Stability Revisited. CoRR Kent-André Mardal, Marie E. Rognes, Travis B. Thompson
2020	J	`jnl`	Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. CoRR Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino
2020	J	`jnl`	Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. J. Comput. Neurosci. André H. Erhardt, Kent-André Mardal, Jakob E. Schreiner
2020	J	`jnl`	Parameter robust preconditioning by congruence for multiple-network poroelasticity. CoRR Eleonora Piersanti, Jeonghun J. Lee, Travis B. Thompson, Kent-André Mardal, Marie E. Rognes
2020	J	`jnl`	Parameter robust preconditioning for multi-compartmental Darcy equations. CoRR Eleonora Piersanti, Marie E. Rognes, Kent-André Mardal
2020	J	`jnl`	Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure. CoRR Wietse M. Boon, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
2020	J	`jnl`	Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis. CoRR Kent-André Mardal, Jarle Sogn, Stefan Takacs
2020	J	`jnl`	Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. CoRR Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
2020	J	`jnl`	Robust preconditioning of monolithically coupled multiphysics problems. CoRR Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
2019	J	`jnl`	A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity. SIAM J. Sci. Comput. Jeonghun J. Lee, Eleonora Piersanti, Kent-André Mardal, Marie E. Rognes
2019	J	`jnl`	Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. SIAM J. Numer. Anal. Tomás Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, Zdenek Strakos
2019	J	`jnl`	Multigrid Methods for Discrete Fractional Sobolev Spaces. SIAM J. Sci. Comput. Trygve Bærland, Miroslav Kuchta, Kent-André Mardal
2019	J	`jnl`	On the singular Neumann problem in linear elasticity. Numer. Linear Algebra Appl. Miroslav Kuchta, Kent-André Mardal, Mikael Mortensen
2019	—	`conf`	Parameter Robust Preconditioning for Multi-Compartmental Darcy Equations. ENUMATH Eleonora Piersanti, Marie E. Rognes, Kent-André Mardal
2017	J	`jnl`	Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model. SIAM J. Sci. Comput. Jeonghun J. Lee, Kent-André Mardal, Ragnar Winther
2017	J	`jnl`	Weakly Imposed Symmetry and Robust Preconditioners for Biot's Consolidation Model. Comput. Methods Appl. Math. Trygve Bærland, Jeonghun J. Lee, Kent-André Mardal, Ragnar Winther
2016	J	`jnl`	Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains. SIAM J. Sci. Comput. Miroslav Kuchta, Magne Nordaas, Joris C. G. Verschaeve, Mikael Mortensen, Kent-André Mardal
2015	J	`jnl`	Transitional flow in intracranial aneurysms - a space and time refinement study below the Kolmogorov scales using Lattice Boltzmann Method. CoRR Kartik Jain, Sabine Roller, Kent-André Mardal
2013	J	`jnl`	A uniformly stable Fortin operator for the Taylor-Hood element. Numerische Mathematik Kent-André Mardal, Joachim Schöberl, Ragnar Winther
2013	J	`jnl`	Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems. SIAM J. Sci. Comput. Bjørn Fredrik Nielsen, Kent-André Mardal
2011	J	`jnl`	Preconditioning discretizations of systems of partial differential equations. Numer. Linear Algebra Appl. Kent-André Mardal, Ragnar Winther
2010	—	`ch.`	Can ECG Recordings and Mathematics tell the Condition of Your Heart? Simula Research Laboratory Bjørn Fredrik Nielsen, Marius Lysaker, Per Grøttum, Kent-André Mardal, Aslak Tveito, Christian Tarrou, Kristina Hermann Haugaa, Andreas Abildgaard, Jan Gunnar Fjeld
2010	J	`jnl`	Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems. SIAM J. Control. Optim. Bjørn Fredrik Nielsen, Kent-André Mardal
2010	J	`jnl`	On the efficiency of symbolic computations combined with code generation for finite element methods. ACM Trans. Math. Softw. Martin Sandve Alnæs, Kent-André Mardal
2009	J	`jnl`	Unified framework for finite element assembly. Int. J. Comput. Sci. Eng. Martin Sandve Alnæs, Anders Logg, Kent-André Mardal, Ola Skavhaug, Hans Petter Langtangen
2007	J	`jnl`	An order optimal solver for the discretized bidomain equations. Numer. Linear Algebra Appl. Kent-André Mardal, Bjørn Fredrik Nielsen, Xing Cai, Aslak Tveito
2007	J	`jnl`	Order-Optimal Preconditioners for Implicit Runge-Kutta Schemes Applied to Parabolic PDEs. SIAM J. Sci. Comput. Kent-André Mardal, Trygve K. Nilssen, Gunnar Andreas Staff
2007	J	`jnl`	Using Python to Solve Partial Differential Equations. Comput. Sci. Eng. Kent-André Mardal, Ola Skavhaug, Glenn Terje Lines, Gunnar Andreas Staff, Åsmund Ødegård
2006	J	`jnl`	An observation on Korn's inequality for nonconforming finite element methods. Math. Comput. Kent-André Mardal, Ragnar Winther
2006	J	`jnl`	Reuse of standard preconditioners for higher-order time discretizations of parabolic PDEs. J. Num. Math. Kent-André Mardal, Trygve K. Nilssen
2006	—	`conf`	SyFi - An Element Matrix Factory. PARA Kent-André Mardal
2006	J	`jnl`	Uniform preconditioners for the time dependent Stokes problem. Numerische Mathematik Kent-André Mardal, Ragnar Winther
2004	J	`jnl`	Uniform preconditioners for the time dependent Stokes problem. Numerische Mathematik Kent-André Mardal, Ragnar Winther
2002	J	`jnl`	A Robust Finite Element Method for Darcy-Stokes Flow. SIAM J. Numer. Anal. Kent-André Mardal, Xue-Cheng Tai, Ragnar Winther
2002	Misc	`conf`	A Software Framework for Mixed Finite Element Programming. International Conference on Computational Science (3) Hans Petter Langtangen, Kent-André Mardal