Kent-André Mardal

Orcid: 0000-0002-4946-1110

Affiliations:
  • University of Oslo
  • Simula Research Lab


According to our database1, Kent-André Mardal authored at least 47 papers between 2002 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Algebraic Multigrid Methods for Metric-Perturbed Coupled Problems.
SIAM J. Sci. Comput., 2024

A robust and time-parallel preconditioner for parabolic reconstruction problems using Isogeometric Analysis.
CoRR, 2024

Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem.
Comput. Math. Appl., 2024

2023
HAZniCS - Software Components for Multiphysics Problems.
ACM Trans. Math. Softw., December, 2023

Twofold Saddle-Point Formulation of Biot Poroelasticity with Stress-Dependent Diffusion.
SIAM J. Numer. Anal., June, 2023

Variational Formulations of the Strong Formulation - Forward and Inverse Modeling using Isogeometric Analysis and Physics-Informed Networks.
CoRR, 2023

A Unified Framework for the Error Analysis of Physics-Informed Neural Networks.
CoRR, 2023

Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers.
CoRR, 2023

2022
Robust Monolithic Solvers for the Stokes-Darcy Problem with the Darcy Equation in Primal Form.
SIAM J. Sci. Comput., August, 2022

Robust Preconditioning and Error Estimates for Optimal Control of the Convection-Diffusion-Reaction Equation with Limited Observation in Isogeometric Analysis.
SIAM J. Numer. Anal., 2022

Robust Approximation of Generalized Biot-Brinkman Problems.
J. Sci. Comput., 2022

Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers.
J. Comput. Phys., 2022

Model order reduction of solidification problems.
CoRR, 2022

Investigating molecular transport in the human brain from MRI with physics-informed neural networks.
CoRR, 2022

Rational Approximation Preconditioners for Multiphysics Problems.
Proceedings of the Numerical Methods and Applications - 10th International Conference, 2022

2021
Parameter Robust Preconditioning by Congruence for Multiple-Network Poroelasticity.
SIAM J. Sci. Comput., 2021

Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure.
SIAM J. Sci. Comput., 2021

Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers.
SIAM J. Numer. Anal., 2021

Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form.
Comput. Math. Appl., 2021

2020
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli.
J. Comput. Neurosci., 2020

Accurate Discretization Of Poroelasticity Without Darcy Stability - Stokes-Biot Stability Revisited.
CoRR, 2020

Robust preconditioning of monolithically coupled multiphysics problems.
CoRR, 2020

2019
A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity.
SIAM J. Sci. Comput., 2019

Multigrid Methods for Discrete Fractional Sobolev Spaces.
SIAM J. Sci. Comput., 2019

Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator.
SIAM J. Numer. Anal., 2019

On the singular Neumann problem in linear elasticity.
Numer. Linear Algebra Appl., 2019

Parameter Robust Preconditioning for Multi-Compartmental Darcy Equations.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2017
Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model.
SIAM J. Sci. Comput., 2017

Weakly Imposed Symmetry and Robust Preconditioners for Biot's Consolidation Model.
Comput. Methods Appl. Math., 2017

2016
Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains.
SIAM J. Sci. Comput., 2016

2015
Transitional flow in intracranial aneurysms - a space and time refinement study below the Kolmogorov scales using Lattice Boltzmann Method.
CoRR, 2015

2013
Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems.
SIAM J. Sci. Comput., 2013

A uniformly stable Fortin operator for the Taylor-Hood element.
Numerische Mathematik, 2013

2011
Preconditioning discretizations of systems of partial differential equations.
Numer. Linear Algebra Appl., 2011

2010
On the efficiency of symbolic computations combined with code generation for finite element methods.
ACM Trans. Math. Softw., 2010

Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems.
SIAM J. Control. Optim., 2010

Can ECG Recordings and Mathematics tell the Condition of Your Heart?
Proceedings of the Simula Research Laboratory, by Thinking Constantly about it, 2010

2009
Unified framework for finite element assembly.
Int. J. Comput. Sci. Eng., 2009

2007
Order-Optimal Preconditioners for Implicit Runge-Kutta Schemes Applied to Parabolic PDEs.
SIAM J. Sci. Comput., 2007

An order optimal solver for the discretized bidomain equations.
Numer. Linear Algebra Appl., 2007

Using Python to Solve Partial Differential Equations.
Comput. Sci. Eng., 2007

2006
An observation on Korn's inequality for nonconforming finite element methods.
Math. Comput., 2006

Reuse of standard preconditioners for higher-order time discretizations of parabolic PDEs.
J. Num. Math., 2006

SyFi - An Element Matrix Factory.
Proceedings of the Applied Parallel Computing. State of the Art in Scientific Computing, 2006

2004
Uniform preconditioners for the time dependent Stokes problem.
Numerische Mathematik, 2004

2002
A Robust Finite Element Method for Darcy-Stokes Flow.
SIAM J. Numer. Anal., 2002

A Software Framework for Mixed Finite Element Programming.
Proceedings of the Computational Science - ICCS 2002, 2002


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