Kent-André Mardal

Publication Activity (10 Years)

Years Active: 2002-2024
Publications (10 Years): 45

Top Topics

Error Estimates

Intracranial Aneurysms

Lagrange Multipliers

Top Venues

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Comput. Math. Appl.

Publications

Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. SIAM J. Sci. Comput. 46 (3) (2024)
Santiago Badia, Martin Hornkjøl, Arbaz Khan, Kent-André Mardal, Alberto F. Martín, Ricardo Ruiz-Baier
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Comput. Math. Appl. 157 (2024)
Kent-André Mardal, Jarle Sogn, Stefan Takacs
A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis. CoRR (2024)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
HAZniCS - Software Components for Multiphysics Problems. ACM Trans. Math. Softw. 49 (4) (2023)
Marius Zeinhofer, Rami Masri, Kent-André Mardal
A Unified Framework for the Error Analysis of Physics-Informed Neural Networks. CoRR (2023)
Kent-André Mardal, Jarle Sogn, Marius Zeinhofer
Variational Formulations of the Strong Formulation - Forward and Inverse Modeling using Isogeometric Analysis and Physics-Informed Networks. CoRR (2023)
S. Badia, Martin Hornkjøl, A. Khan, Kent-André Mardal, A. F. Martín, Ricardo Ruiz-Baier
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. CoRR (2023)
Nunzio Dimola, Miroslav Kuchta, Kent-André Mardal, Paolo Zunino
Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers. CoRR (2023)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil Tomov Zikatanov
Algebraic multigrid methods for metric-perturbed coupled problems. CoRR (2023)
Bryan Gomez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier, Vegard Vinje
Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion. SIAM J. Numer. Anal. 61 (3) (2023)
Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. J. Comput. Phys. 467 (2022)
Qingguo Hong, Johannes Kraus, Miroslav Kuchta, Maria Lymbery, Kent-André Mardal, Marie E. Rognes
Robust Approximation of Generalized Biot-Brinkman Problems. J. Sci. Comput. 93 (2) (2022)
Bastian Zapf, Johannes Haubner, Miroslav Kuchta, Geir Ringstad, Per Kristian Eide, Kent-André Mardal
Investigating molecular transport in the human brain from MRI with physics-informed neural networks. CoRR (2022)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
Rational approximation preconditioners for multiphysics problems. CoRR (2022)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
HAZniCS - Software Components for Multiphysics Problems. CoRR (2022)
Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov
Rational Approximation Preconditioners for Multiphysics Problems. NMA (2022)
Wietse M. Boon, Timo Koch, Miroslav Kuchta, Kent-André Mardal
Robust Monolithic Solvers for the Stokes-Darcy Problem with the Darcy Equation in Primal Form. SIAM J. Sci. Comput. 44 (4) (2022)
Kent-André Mardal, Jarle Sogn, Stefan Takacs
Robust Preconditioning and Error Estimates for Optimal Control of the Convection-Diffusion-Reaction Equation with Limited Observation in Isogeometric Analysis. SIAM J. Numer. Anal. 60 (1) (2022)
Florian Arbes, Øyvind Jensen, Kent-André Mardal, Jørgen S. Dokken
Model order reduction of solidification problems. CoRR (2022)
Wietse M. Boon, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure. SIAM J. Sci. Comput. 43 (4) (2021)
Eleonora Piersanti, Jeonghun J. Lee, Travis B. Thompson, Kent-André Mardal, Marie E. Rognes
Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity. SIAM J. Sci. Comput. 43 (4) (2021)
Wietse M. Boon, Timo Koch, Miroslav Kuchta, Kent-André Mardal
Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form. CoRR (2021)
Bryan Gomez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier, Vegard Vinje
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. CoRR (2021)
Qingguo Hong, Johannes K. Kraus, Miroslav Kuchta, Maria Lymbery, Kent-André Mardal, Marie E. Rognes
Robust approximation of generalized Biot-Brinkman problems. CoRR (2021)
Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Comput. Math. Appl. 91 (2021)
Wietse M. Boon, Martin Hornkjøl, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. CoRR (2021)
Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino
Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers. SIAM J. Numer. Anal. 59 (1) (2021)
Kent-André Mardal, Jarle Sogn, Stefan Takacs
Robust preconditioning and error estimates for optimal control of the convection-diffusion-reaction equation with limited observation in Isogeometric analysis. CoRR (2020)
Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
Robust preconditioning of monolithically coupled multiphysics problems. CoRR (2020)
Eleonora Piersanti, Marie E. Rognes, Kent-André Mardal
Parameter robust preconditioning for multi-compartmental Darcy equations. CoRR (2020)
Kent-André Mardal, Marie E. Rognes, Travis B. Thompson
Accurate Discretization Of Poroelasticity Without Darcy Stability - Stokes-Biot Stability Revisited. CoRR (2020)
Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. CoRR (2020)
Wietse M. Boon, Miroslav Kuchta, Kent-André Mardal, Ricardo Ruiz-Baier
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure. CoRR (2020)
Eleonora Piersanti, Jeonghun J. Lee, Travis B. Thompson, Kent-André Mardal, Marie E. Rognes
Parameter robust preconditioning by congruence for multiple-network poroelasticity. CoRR (2020)
André H. Erhardt, Kent-André Mardal, Jakob E. Schreiner
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. J. Comput. Neurosci. 48 (2) (2020)
Miroslav Kuchta, Federica Laurino, Kent-André Mardal, Paolo Zunino
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. CoRR (2020)
Eleonora Piersanti, Marie E. Rognes, Kent-André Mardal
Parameter Robust Preconditioning for Multi-Compartmental Darcy Equations. ENUMATH (2019)
Jeonghun J. Lee, Eleonora Piersanti, Kent-André Mardal, Marie E. Rognes
A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity. SIAM J. Sci. Comput. 41 (2) (2019)
Tomás Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, Zdenek Strakos
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. SIAM J. Numer. Anal. 57 (3) (2019)
Trygve Bærland, Miroslav Kuchta, Kent-André Mardal
Multigrid Methods for Discrete Fractional Sobolev Spaces. SIAM J. Sci. Comput. 41 (2) (2019)
Miroslav Kuchta, Kent-André Mardal, Mikael Mortensen
On the singular Neumann problem in linear elasticity. Numer. Linear Algebra Appl. 26 (1) (2019)
Jeonghun J. Lee, Kent-André Mardal, Ragnar Winther
Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model. SIAM J. Sci. Comput. 39 (1) (2017)
Trygve Bærland, Jeonghun J. Lee, Kent-André Mardal, Ragnar Winther
Weakly Imposed Symmetry and Robust Preconditioners for Biot's Consolidation Model. Comput. Methods Appl. Math. 17 (3) (2017)
Miroslav Kuchta, Magne Nordaas, Joris C. G. Verschaeve, Mikael Mortensen, Kent-André Mardal
Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains. SIAM J. Sci. Comput. 38 (6) (2016)
Kartik Jain, Sabine Roller, Kent-André Mardal
Transitional flow in intracranial aneurysms - a space and time refinement study below the Kolmogorov scales using Lattice Boltzmann Method. CoRR (2015)
Bjørn Fredrik Nielsen, Kent-André Mardal
Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems. SIAM J. Sci. Comput. 35 (2) (2013)
Kent-André Mardal, Joachim Schöberl, Ragnar Winther
A uniformly stable Fortin operator for the Taylor-Hood element. Numerische Mathematik 123 (3) (2013)
Kent-André Mardal, Ragnar Winther
Preconditioning discretizations of systems of partial differential equations. Numer. Linear Algebra Appl. 18 (1) (2011)
Martin Sandve Alnæs, Kent-André Mardal
On the efficiency of symbolic computations combined with code generation for finite element methods. ACM Trans. Math. Softw. 37 (1) (2010)
Bjørn Fredrik Nielsen, Kent-André Mardal
Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems. SIAM J. Control. Optim. 48 (8) (2010)
Martin Sandve Alnæs, Anders Logg, Kent-André Mardal, Ola Skavhaug, Hans Petter Langtangen
Unified framework for finite element assembly. Int. J. Comput. Sci. Eng. 4 (4) (2009)
Kent-André Mardal, Bjørn Fredrik Nielsen, Xing Cai, Aslak Tveito
An order optimal solver for the discretized bidomain equations. Numer. Linear Algebra Appl. 14 (2) (2007)
Kent-André Mardal, Ola Skavhaug, Glenn Terje Lines, Gunnar Andreas Staff, Åsmund Ødegård
Using Python to Solve Partial Differential Equations. Comput. Sci. Eng. 9 (3) (2007)
Kent-André Mardal, Trygve K. Nilssen, Gunnar Andreas Staff
Order-Optimal Preconditioners for Implicit Runge-Kutta Schemes Applied to Parabolic PDEs. SIAM J. Sci. Comput. 29 (1) (2007)
Kent-André Mardal, Ragnar Winther
An observation on Korn's inequality for nonconforming finite element methods. Math. Comput. 75 (253) (2006)
Kent-André Mardal, Trygve K. Nilssen
Reuse of standard preconditioners for higher-order time discretizations of parabolic PDEs. J. Num. Math. 14 (2) (2006)
Kent-André Mardal
SyFi - An Element Matrix Factory. PARA (2006)
Kent-André Mardal, Ragnar Winther
Uniform preconditioners for the time dependent Stokes problem. Numerische Mathematik 103 (1) (2006)
Kent-André Mardal, Ragnar Winther
Uniform preconditioners for the time dependent Stokes problem. Numerische Mathematik 98 (2) (2004)
Kent-André Mardal, Xue-Cheng Tai, Ragnar Winther
A Robust Finite Element Method for Darcy-Stokes Flow. SIAM J. Numer. Anal. 40 (5) (2002)
Hans Petter Langtangen, Kent-André Mardal
A Software Framework for Mixed Finite Element Programming. International Conference on Computational Science (3) (2002)