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Kent-André Mardal
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- affiliation: University of Oslo
- affiliation: Simula Research Lab
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2020 – today
- 2024
- [j34]Santiago Badia
, Martin Hornkjøl
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem. Comput. Math. Appl. 157: 173-194 (2024) - [j33]Ana Budisa
Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems. SIAM J. Sci. Comput. 46(3): 1461- (2024) - [i24]Kent-André Mardal, Jarle Sogn, Stefan Takacs:
A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis. CoRR abs/2407.17964 (2024) - [i23]Melanie Rieff, Fabian Holzberger, Oksana Lapina, Geir Ringstad, Lars Magnus Valnes, Bogna Warsza, Kent-André Mardal, Per Kristian Eide, Barbara I. Wohlmuth:
U-net based prediction of cerebrospinal fluid distribution and ventricular reflux grading. CoRR abs/2410.04460 (2024) - 2023
- [j32]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): 1449-1481 (2023) - [j31]Ana Budisa
HAZniCS - Software Components for Multiphysics Problems. ACM Trans. Math. Softw. 49(4): 36:1-36:23 (2023) - [i22]Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil Tomov Zikatanov:
Algebraic multigrid methods for metric-perturbed coupled problems. CoRR abs/2305.06073 (2023) - [i21]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. CoRR abs/2306.11213 (2023) - [i20]Nunzio Dimola, Miroslav Kuchta, Kent-André Mardal, Paolo Zunino:
Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers. CoRR abs/2307.08431 (2023) - [i19]Marius Zeinhofer, Rami Masri, Kent-André Mardal:
A Unified Framework for the Error Analysis of Physics-Informed Neural Networks. CoRR abs/2311.00529 (2023) - [i18]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 abs/2312.03496 (2023) - 2022
- [j30]Wietse M. Boon, Martin Hornkjøl
Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. J. Comput. Phys. 467: 111464 (2022) - [j29]Qingguo Hong
Robust Approximation of Generalized Biot-Brinkman Problems. J. Sci. Comput. 93(2): 77 (2022) - [j28]Kent-André Mardal, Jarle Sogn
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): 195-221 (2022) - [j27]Wietse M. Boon
Robust Monolithic Solvers for the Stokes-Darcy Problem with the Darcy Equation in Primal Form. SIAM J. Sci. Comput. 44(4): 1148- (2022) - [c4]Ana Budisa
Rational Approximation Preconditioners for Multiphysics Problems. NMA 2022: 100-113 - [i17]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 abs/2205.02592 (2022) - [i16]Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov:
Rational approximation preconditioners for multiphysics problems. CoRR abs/2209.11659 (2022) - [i15]Florian Arbes, Øyvind Jensen, Kent-André Mardal, Jørgen S. Dokken
Model order reduction of solidification problems. CoRR abs/2210.06169 (2022) - [i14]Ana Budisa, Xiaozhe Hu, Miroslav Kuchta, Kent-André Mardal, Ludmil T. Zikatanov:
HAZniCS - Software Components for Multiphysics Problems. CoRR abs/2210.13274 (2022) - 2021
- [j26]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: 53-66 (2021) - [j25]Miroslav Kuchta, Federica Laurino, Kent-André Mardal
Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers. SIAM J. Numer. Anal. 59(1): 558-582 (2021) - [j24]Wietse M. Boon
Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure. SIAM J. Sci. Comput. 43(4): B961-B983 (2021) - [j23]Eleonora Piersanti, Jeonghun J. Lee
Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity. SIAM J. Sci. Comput. 43(4): B984-B1007 (2021) - [i13]Bryan Gomez-Vargas, Kent-André Mardal, Ricardo Ruiz-Baier, Vegard Vinje:
Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. CoRR abs/2109.15006 (2021) - [i12]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 abs/2110.07486 (2021) - [i11]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 abs/2111.05653 (2021) - [i10]Qingguo Hong, Johannes K. Kraus, Miroslav Kuchta, Maria Lymbery, Kent-André Mardal, Marie E. Rognes:
Robust approximation of generalized Biot-Brinkman problems. CoRR abs/2112.13618 (2021) - 2020
- [j22]André H. Erhardt
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. J. Comput. Neurosci. 48(2): 229-251 (2020) - [i9]Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal:
Robust preconditioning of monolithically coupled multiphysics problems. CoRR abs/2001.05527 (2020) - [i8]Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal:
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. CoRR abs/2001.05529 (2020) - [i7]Eleonora Piersanti, Marie E. Rognes, Kent-André Mardal:
Parameter robust preconditioning for multi-compartmental Darcy equations. CoRR abs/2003.09633 (2020) - [i6]Eleonora Piersanti, Jeonghun J. Lee, Travis B. Thompson, Kent-André Mardal, Marie E. Rognes:
Parameter robust preconditioning by congruence for multiple-network poroelasticity. CoRR abs/2003.09641 (2020) - [i5]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 abs/2004.02722 (2020) - [i4]Kent-André Mardal, Marie E. Rognes, Travis B. Thompson:
Accurate Discretization Of Poroelasticity Without Darcy Stability - Stokes-Biot Stability Revisited. CoRR abs/2007.10012 (2020) - [i3]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 abs/2011.05236 (2020) - [i2]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 abs/2012.13003 (2020)
2010 – 2019
- 2019
- [j21]Miroslav Kuchta
On the singular Neumann problem in linear elasticity. Numer. Linear Algebra Appl. 26(1) (2019) - [j20]Tomás Gergelits
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. SIAM J. Numer. Anal. 57(3): 1369-1394 (2019) - [j19]Jeonghun J. Lee, Eleonora Piersanti, Kent-André Mardal
A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity. SIAM J. Sci. Comput. 41(2): A722-A747 (2019) - [j18]Trygve Bærland
Multigrid Methods for Discrete Fractional Sobolev Spaces. SIAM J. Sci. Comput. 41(2): A948-A972 (2019) - [c3]Eleonora Piersanti, Marie E. Rognes, Kent-André Mardal:
Parameter Robust Preconditioning for Multi-Compartmental Darcy Equations. ENUMATH 2019: 703-711 - 2017
- [j17]Trygve Bærland
Weakly Imposed Symmetry and Robust Preconditioners for Biot's Consolidation Model. Comput. Methods Appl. Math. 17(3): 377 (2017) - [j16]Jeonghun J. Lee
Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model. SIAM J. Sci. Comput. 39(1) (2017) - 2016
- [j15]Miroslav Kuchta, Magne Nordaas, Joris C. G. Verschaeve, Mikael Mortensen
Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains. SIAM J. Sci. Comput. 38(6) (2016) - 2015
- [i1]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 abs/1512.02504 (2015) - 2013
- [j14]Kent-André Mardal
A uniformly stable Fortin operator for the Taylor-Hood element. Numerische Mathematik 123(3): 537-551 (2013) - [j13]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) - 2011
- [j12]Kent-André Mardal
Preconditioning discretizations of systems of partial differential equations. Numer. Linear Algebra Appl. 18(1): 1-40 (2011) - 2010
- [j11]Bjørn Fredrik Nielsen, Kent-André Mardal
Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems. SIAM J. Control. Optim. 48(8): 5143-5177 (2010) - [j10]Martin Sandve Alnæs
On the efficiency of symbolic computations combined with code generation for finite element methods. ACM Trans. Math. Softw. 37(1): 6:1-6:26 (2010) - [p1]Bjørn Fredrik Nielsen, Marius Lysaker, Per Grøttum, Kent-André Mardal, Aslak Tveito, Christian Tarrou, Kristina Hermann Haugaa, Andreas Abildgaard, Jan Gunnar Fjeld:
Can ECG Recordings and Mathematics tell the Condition of Your Heart? Simula Research Laboratory 2010: 287-319
2000 – 2009
- 2009
- [j9]Martin Sandve Alnæs
Unified framework for finite element assembly. Int. J. Comput. Sci. Eng. 4(4): 231-244 (2009) - 2007
- [j8]Kent-André Mardal
Using Python to Solve Partial Differential Equations. Comput. Sci. Eng. 9(3): 48-51 (2007) - [j7]Kent-André Mardal
An order optimal solver for the discretized bidomain equations. Numer. Linear Algebra Appl. 14(2): 83-98 (2007) - [j6]Kent-André Mardal
Order-Optimal Preconditioners for Implicit Runge-Kutta Schemes Applied to Parabolic PDEs. SIAM J. Sci. Comput. 29(1): 361-375 (2007) - 2006
- [j5]Kent-André Mardal, Trygve K. Nilssen:
Reuse of standard preconditioners for higher-order time discretizations of parabolic PDEs. J. Num. Math. 14(2): 103-122 (2006) - [j4]Kent-André Mardal
An observation on Korn's inequality for nonconforming finite element methods. Math. Comput. 75(253): 1-6 (2006) - [j3]Kent-André Mardal
Uniform preconditioners for the time dependent Stokes problem. Numerische Mathematik 103(1): 171-172 (2006) - [c2]Kent-André Mardal:
SyFi - An Element Matrix Factory. PARA 2006: 703-711 - 2004
- [j2]Kent-André Mardal
Uniform preconditioners for the time dependent Stokes problem. Numerische Mathematik 98(2): 305-327 (2004) - 2002
- [j1]Kent-André Mardal
A Robust Finite Element Method for Darcy-Stokes Flow. SIAM J. Numer. Anal. 40(5): 1605-1631 (2002) - [c1]Hans Petter Langtangen, Kent-André Mardal:
A Software Framework for Mixed Finite Element Programming. International Conference on Computational Science (3) 2002: 764-773
Coauthor Index
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