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1

Preconditioning discretizations of systems of partial differential equations

Kent-Andre Mardal, Ragnar Winther

Journal:

Numerical Linear Algebra with Applications

Year:

2011

Language:

english

File:

PDF, 304 KB

english, 2011

2

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || Automated testing of saddle point stability conditions

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 285 KB

english, 2012

3

Numerical simulations of the pulsating flow of cerebrospinal fluid flow in the cervical spinal canal of a Chiari patient

Helgeland, Anders, Mardal, Kent-Andre, Haughton, Victor, Reif, Bjørn Anders Pettersson

Journal:

Journal of Biomechanics

Year:

2014

Language:

english

File:

PDF, 2.09 MB

english, 2014

4

An observation on Korn's inequality for nonconforming finite element methods

Mardal, Kent-Andre, Winther, Ragnar

Journal:

Mathematics of Computation

Year:

2005

Language:

english

File:

PDF, 134 KB

english, 2005

5

On the singular Neumann problem in linear elasticity

Kuchta, Miroslav, Mardal, Kent-Andre, Mortensen, Mikael

Journal:

Numerical Linear Algebra with Applications

Year:

2018

Language:

english

File:

PDF, 727 KB

english, 2018

6

Respiratory influence on cerebrospinal fluid flow – a computational study based on long-term intracranial pressure measurements

Vinje, Vegard, Ringstad, Geir, Lindstrøm, Erika Kristina, Valnes, Lars Magnus, Rognes, Marie E., Eide, Per Kristian, Mardal, Kent-Andre

Journal:

Scientific Reports

Year:

2019

Language:

english

File:

PDF, 3.36 MB

english, 2019

7

Delayed clearance of cerebrospinal fluid tracer from choroid plexus in idiopathic normal pressure hydrocephalus

Eide, Per Kristian, Valnes, Lars Magnus, Pripp, Are Hugo, Mardal, Kent-Andre, Ringstad, Geir

Journal:

Journal of Cerebral Blood Flow and Metabolism

Year:

2019

Language:

english

File:

PDF, 632 KB

english, 2019

8

An order optimal solver for the discretized bidomain equations

Kent-Andre Mardal, Bjørn Fredrik Nielsen, Xing Cai, Aslak Tveito

Journal:

Numerical Linear Algebra with Applications

Year:

2007

Language:

english

File:

PDF, 149 KB

english, 2007

9

Unified finite element discretizations of coupled Darcy–Stokes flow

Trygve Karper, Kent-Andre Mardal, Ragnar Winther

Journal:

Numerical Methods for Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 180 KB

english, 2009

10

Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations

Trygve K. Nilssen, Gunnar A. Staff, Kent-Andre Mardal

Journal:

Numerical Methods for Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 869 KB

english, 2011

11

Numerical methods for incompressible viscous flow

Hans Petter Langtangen, Kent-Andre Mardal, Ragnar Winther

Journal:

Advances in Water Resources

Year:

2002

Language:

english

File:

PDF, 268 KB

english, 2002

12

Uniform preconditioners for the time dependent Stokes problem

Kent-Andre Mardal, Ragnar Winther

Journal:

Numerische Mathematik

Year:

2004

Language:

english

File:

PDF, 202 KB

english, 2004

13

Uniform preconditioners for the time dependent Stokes problem

Kent-Andre Mardal, Ragnar Winther

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 97 KB

english, 2006

14

Sex differences in intracranial arterial bifurcations

Haakon M. Lindekleiv, Kristian Valen-Sendstad, Michael K. Morgan, Kent-Andre Mardal, Kenneth Faulder, Jeanette H. Magnus, Knut Waterloo, Bertil Romner, Tor Ingebrigtsen

Journal:

Gender Medicine

Year:

2010

Language:

english

File:

PDF, 154 KB

english, 2010

15

Direct numerical simulation of transitional flow in a patient-specific intracranial aneurysm

Kristian Valen-Sendstad, Kent-André Mardal, Mikael Mortensen, Bjørn Anders Pettersson Reif, Hans Petter Langtangen

Journal:

Journal of Biomechanics

Year:

2011

Language:

english

File:

PDF, 1.15 MB

english, 2011

16

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || UFC: a finite element code generation interface

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 545 KB

english, 2012

17

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || Instant: just-in-time compilation of C/C++ in Python

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 247 KB

english, 2012

18

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || SyFi and SFC: symbolic finite elements and form compilation

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 154 KB

english, 2012

19

Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems

Nielsen, Bjørn Fredrik, Mardal, Kent-Andre

Journal:

SIAM Journal on Control and Optimization

Year:

2010

Language:

english

File:

PDF, 436 KB

english, 2010

20

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || Simulation of transitional flows

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 521 KB

english, 2012

21

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || Computational hemodynamics

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 1023 KB

english, 2012

22

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 ||

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 23.34 MB

english, 2012

23

A uniformly stable Fortin operator for the Taylor–Hood element

Kent-Andre Mardal, Joachim Schöberl, Ragnar Winther

Journal:

Numerische Mathematik

Year:

2013

Language:

english

File:

PDF, 241 KB

english, 2013

24

A study of wall shear stress in 12 aneurysms with respect to different viscosity models and flow conditions

Evju, Øyvind, Valen-Sendstad, Kristian, Mardal, Kent-André

Journal:

Journal of Biomechanics

Year:

2013

Language:

english

File:

PDF, 7.89 MB

english, 2013

25

[Lecture Notes in Computational Science and Engineering] Automated Solution of Differential Equations by the Finite Element Method Volume 84 || Electromagnetic waveguide analysis

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Year:

2012

Language:

english

File:

PDF, 737 KB

english, 2012

26

High-resolution CFD detects high-frequency velocity fluctuations in bifurcation, but not sidewall, aneurysms

Valen-Sendstad, Kristian, Mardal, Kent-André, Steinman, David A.

Journal:

Journal of Biomechanics

Year:

2013

Language:

english

File:

PDF, 463 KB

english, 2013

27

Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems

Nielsen, Bjørn Fredrik, Mardal, Kent-Andre

Journal:

SIAM Journal on Scientific Computing

Year:

2013

Language:

english

File:

PDF, 751 KB

english, 2013

28

On the efficiency of symbolic computations combined with code generation for finite element methods

Alnæs, Martin Sandve, Mardal, Kent-André

Journal:

ACM Transactions on Mathematical Software

Year:

2010

Language:

english

File:

PDF, 701 KB

english, 2010

29

Stability analysis of the inverse transmembrane potential problem in electrocardiography

Burger, Martin, Mardal, Kent-André, Nielsen, Bjørn Fredrik

Journal:

Inverse Problems

Year:

2010

Language:

english

File:

PDF, 1.07 MB

english, 2010

30

Flow characteristics in a canine aneurysm model: A comparison of 4D accelerated phase-contrast MR measurements and computational fluid dynamics simulations

Jiang, Jingfeng, Johnson, Kevin, Valen-Sendstad, Kristian, Mardal, Kent-Andre, Wieben, Oliver, Strother, Charles

Journal:

Medical Physics

Year:

2011

Language:

english

File:

PDF, 2.89 MB

english, 2011

31

Poro-elastic modeling of Syringomyelia – a systematic study of the effects of pia mater, central canal, median fissure, white and gray matter on pressure wave propagation and fluid movement within the cervical spinal cord

Støverud, Karen H., Alnæs, Martin, Langtangen, Hans Petter, Haughton, Victor, Mardal, Kent-André

Journal:

Computer Methods in Biomechanics & Biomedical Engineering

Year:

2015

Language:

english

File:

PDF, 689 KB

english, 2015

32

An Observation on Korn's Inequality for Nonconforming Finite Element Methods

Kent-Andre Mardal and Ragnar Winther

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 207 KB

english, 2006

33

[ASME ASME 2011 Summer Bioengineering Conference - Farmington, Pennsylvania, USA (Wednesday 22 June 2011)] ASME 2011 Summer Bioengineering Conference, Parts A and B - Direct Numerical Simulation of Transitional Flow in a Patient-Specific MCA Aneurysm

Valen-Sendstad, Kristian, Mardal, Kent-Andre, Mortensen, Mikael, Reif, Bjørn A. P., Langtangen, Hans Petter

Year:

2011

Language:

english

File:

PDF, 339 KB

english, 2011

34

Transitional flow in intracranial aneurysms – A space and time refinement study below the Kolmogorov scales using Lattice Boltzmann Method

Jain, Kartik, Roller, Sabine, Mardal, Kent-André

Journal:

Computers & Fluids

Year:

2016

Language:

english

File:

PDF, 4.10 MB

english, 2016

35

The association between the pulse pressure gradient at the cranio-cervical junction derived from phase-contrast magnetic resonance imaging and invasively measured pulsatile intracranial pressure in symptomatic patients with Chiari malformation type 1

Frič, Radek, Lindstrøm, Erika Kristina, Ringstad, Geir Andre, Mardal, Kent-André, Eide, Per Kristian

Journal:

Acta Neurochirurgica

Year:

2016

Language:

english

File:

PDF, 1.30 MB

english, 2016

36

Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains

Kuchta, Miroslav, Nordaas, Magne, Verschaeve, Joris C. G., Mortensen, Mikael, Mardal, Kent-Andre

Journal:

SIAM Journal on Scientific Computing

Year:

2016

Language:

english

File:

PDF, 518 KB

english, 2016

37

Transitional hemodynamics in intracranial aneurysms - Comparative velocity investigations with high resolution lattice Boltzmann simulations, normal resolution ANSYS simulations, and MR imaging

Jain, Kartik, Jiang, Jingfeng, Strother, Charles, Mardal, Kent-André

Journal:

Medical Physics

Year:

2016

Language:

english

File:

PDF, 5.81 MB

english, 2016

38

Parameter-Robust Discretization and Preconditioning of Biot's Consolidation Model

Lee, Jeonghun J., Mardal, Kent-Andre, Winther, Ragnar

Journal:

SIAM Journal on Scientific Computing

Year:

2017

Language:

english

File:

PDF, 292 KB

english, 2017

39

Robust preconditioners for PDE-constrained optimization with limited observations

Kent-André Mardal,Bjørn Fredrik Nielsen,Magne Nordaas

Journal:

BIT Numerical Mathematics

Year:

2017

Language:

english

File:

PDF, 1.83 MB

english, 2017

40

Interstitial solute transport in 3D reconstructed neuropil occurs by diffusion rather than bulk flow

Holter, Karl Erik, Kehlet, Benjamin, Devor, Anna, Sejnowski, Terrence J., Dale, Anders M., Omholt, Stig W., Ottersen, Ole Petter, Nagelhus, Erlend Arnulf, Mardal, Kent-André, Pettersen, Klas H.

Journal:

Proceedings of the National Academy of Sciences

Year:

2017

Language:

english

File:

PDF, 4.44 MB

english, 2017

41

Weakly Imposed Symmetry and Robust Preconditioners for Biot’s Consolidation Model

Bærland, Trygve, Lee, Jeonghun J., Mardal, Kent-Andre, Winther, Ragnar

Journal:

Computational Methods in Applied Mathematics

Language:

english

File:

PDF, 894 KB

english

42

Comparison of phase-contrast MR and flow simulations for the study of CSF dynamics in the cervical spine

Lindstrøm, Erika Kristina, Schreiner, Jakob, Ringstad, Geir Andre, Haughton, Victor, Eide, Per Kristian, Mardal, Kent-Andre

Journal:

The Neuroradiology Journal

Year:

2018

Language:

english

File:

PDF, 811 KB

english, 2018

43

A Cell-Based Framework for Numerical Modeling of Electrical Conduction in Cardiac Tissue

Tveito, Aslak, Jæger, Karoline H., Kuchta, Miroslav, Mardal, Kent-Andre, Rognes, Marie E.

Journal:

Frontiers in Physics

Year:

2017

Language:

english

File:

PDF, 2.71 MB

english, 2017

44

Preconditioning trace coupled 3 d -1 d systems using fractional Laplacian

Kuchta, Miroslav, Mardal, Kent-Andre, Mortensen, Mikael

Journal:

Numerical Methods for Partial Differential Equations

Year:

2018

Language:

english

File:

PDF, 807 KB

english, 2018

45

Cerebrospinal fluid volumetric net flow rate and direction in idiopathic normal pressure hydrocephalus

Lindstrøm, Erika Kristina, Ringstad, Geir, Mardal, Kent-Andre, Eide, Per Kristian

Journal:

NeuroImage: Clinical

Year:

2018

Language:

english

File:

PDF, 1.67 MB

english, 2018

46

Computational Investigation of Cerebrospinal Fluid Dynamics in the Posterior Cranial Fossa and Cervical Subarachnoid Space in Patients with Chiari I Malformation

Støverud, Karen-Helene, Langtangen, Hans Petter, Ringstad, Geir Andre, Eide, Per Kristian, Mardal, Kent-Andre, Aliseda, Alberto

Journal:

Year:

2016

Language:

english

File:

PDF, 2.06 MB

english, 2016

47

Magnitude and direction of aqueductal cerebrospinal fluid flow: large variations in patients with intracranial aneurysms with or without a previous subarachnoid hemorrhage

Lindstrøm, Erika Kristina, Ringstad, Geir, Sorteberg, Angelika, Sorteberg, Wilhelm, Mardal, Kent-Andre, Eide, Per Kristian

Journal:

Acta Neurochirurgica

Year:

2018

Language:

english

File:

PDF, 6.31 MB

english, 2018

48

“Bucket” cerebrospinal fluid bulk flow: when the terrain disagrees with the map

Eide, Per Kristian, Sorteberg, Angelika, Sorteberg, Wilhelm, Lindstrøm, Erika Kristina, Mardal, Kent-Andre, Ringstad, Geir

Journal:

Acta Neurochirurgica

Year:

2018

Language:

english

File:

PDF, 525 KB

english, 2018

49

Multigrid Methods for Discrete Fractional Sobolev Spaces

Bærland, Trygve, Kuchta, Miroslav, Mardal, Kent-Andre

Journal:

SIAM Journal on Scientific Computing

Year:

2019

File:

PDF, 449 KB

2019

50

Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver

Landet, Tormod, Mardal, Kent-Andre, Mortensen, Mikael

Journal:

Computers & Fluids

Year:

2020

Language:

english

File:

PDF, 1.78 MB

english, 2020

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