Publications

A. Logg, Kent-A. Mardal, and G. N. Wells. Automated Solution of Differential Equations by the Finite Element Method, Springer(ISBN: 3642230989), 2012.

B. F. Nielsen and Kent-A. Mardal. Analysis of the Minimal Residual Method applied to ill-posed optimality systems, Submitted to journal for publication, 2012.

M. S. Alnæs and Kent-A. Mardal. SyFi and SFC: symbolic finite elements and form compilation, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 15, pp. 269-278. Lecture Notes in Computational Science and Engineering,, 2012.

M. S. Alnæs, A. Logg, and Kent-A. Mardal. UFC: a finite element code generation interface, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 16, pp. 279-298. Lecture Notes in Computational Science and Engineering,, 2012.

J. E. Hake and Kent-A. Mardal. Lessons learned in mixed language programming, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by Logg, Anders and Mardal, Kent-Andre and Wells, Garth N. Springer, vol. 84, chap. 19, pp. 363--381, 2012.

R. C. Kirby and Kent-A. Mardal. Constructing general reference finite elements, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 4, pp. 117-128. Lecture Notes in Computational Science and Engineering,, 2012.

A. Logg, Kent-A. Mardal, and G. N. Wells. Finite element assembly, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 6, pp. 137-142. Lecture Notes in Computational Science and Engineering,, 2012.

Kent-A. Mardal and J. B. Haga. Block preconditioning of systems of PDEs, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 35, pp. 643-654. Lecture Notes in Computational Science and Engineering,, 2012.

M. Mortensen, Kent-A. Mardal, and H. P. Langtangen. Simulation of transitional flows, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 22, pp. 419-438. Lecture Notes in Computational Science and Engineering,, 2012.

S. Støle-Hentschel, S. Linge, A. E. Løvgren, and Kent-A. Mardal. Cerebrospinal fluid flow, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 24, pp. 455-470. Lecture Notes in Computational Science and Engineering,, 2012.

K. Valen-Sendstad, A. Logg, Kent-A. Mardal, H. Narayanan, and M. Mortensen. A Comparison of Some Common Finite Element Schemes for the Incompressible Navier-Stokes Equations, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 21, pp. 395-418. Lecture Notes in Computational Science and Engineering,, 2012.

K. Valen-Sendstad, Kent-A. Mardal, and A. Logg. Computational hemodynamics, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 23, pp. 439-454. Lecture Notes in Computational Science and Engineering,, 2012.

I. Wilbers, Kent-A. Mardal, and M. S. Alnæs. Instant: just-in-time compilation of C/C++ in Python, In: Automated Solution of Differential Equations by the Finite Element Method, ed. by A. Logg, K.-A. Mardal and G. Wells. Springer, vol. 84, chap. 14, pp. 253-268. Lecture Notes in Computational Science and Engineering,, 2012.

B. F. Nielsen and Kent-A. Mardal. The Minimal Residual Method applied to ill-posed optimality systems; eigenvalues and convergence properties, Presented at the workshop "Numerical Methods for Optimal Control and Inverse Problems", Munich, Germany, 2012.

K. Valen-Sendstad, Kent-A. Mardal, and D. A. Steinman. Revisiting 'Turbulence' in Cerebral Aneurysms, ECI Conference on Computational Fluid Dynamics (CFD) in Medicine and Biology in conjunction with the Seventh International Biofluid Mechanics Symposium March 25-30, 2012 Crowne Plaza Dead Sea, Ein Bokek, Dead Sea, Israel, 2012.

H. P. Langtangen, Kent-A. Mardal, and P. Røtnes. Escaping the Zombie Threat by Mathematics, Preprint, 2012.

J. Jiang, K. Johnson, K. Valen-Sendstad, Kent-A. Mardal, O. Wieben, and C. Strother. Flow Characteristics in a Canine Aneurysm Model: A Comparison of 4-D Accelerated Phase-Contrast MR Measurements and Computational Fluid Dynamics Simulations, Medical Physics 38(11):6300-6313, 2011.

S. Linge, V. Haughton, A. E. Løvgren, Kent-A. Mardal, A. Helgeland, and H. P. Langtangen. Effect of tonsilar herniation on cyclic CSF flow studied with computational flow analysis, American Journal of Neuroradiology 32(5):1474-1481, 2011.

Kent-A. Mardal and R. Winther. Preconditioning discretizations of systems of partial differential equations, Numerical Linear Algebra with Applications 18( 1):1-40, 2011.

Kent-A. Mardal, J. Schoberl, and R. Winther. A Uniform Inf-sup Condition with applications to Preconditioning , Submitted to Journal, 2011.

T. K. Nilssen, G. A. Staff, and Kent-A. Mardal. Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations, Numerical Methods for Partial Differential Equations 27( 5):1290-1312, 2011.

G. Rutkowska, V. Haughton, S. Linge, and Kent-A. Mardal. Patient-specific 3D Simulation of Cyclic CSF Flow at the Cranio-Cervical Region, Accepted for publication in American journal of Neuroradiology, 2011.

K. Valen-Sendstad, Kent-A. Mardal, J. Isaksen, and M. Mortensen. A Quantitative Characterization of Differences in Flow Patterns in Ruptured Versus Unruptured MCA Aneurysms, , 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. Direct Numerical Simulation of Transitional Flow in a Patient–Specific Intracranial Aneurysm, Journal of Biomechanics 44(16):2826-2832, 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. On The Complexity of Stationary Flow in Patient–Specific Aneurysms, In: MekIT'11 Sixth national conference on Computational Mechanics, ed. by Bjørn Skallerud and Helge I. Andersson, pp. 379-392, tapir academic press, 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. Direct Numerical Simulation of Transitional Flow in a Patient-Specific MCA Aneurysm, In: Proceedings of the ASME 2011 Summer Bioengineering Conference, ed. by , , 2011.

K. Valen-Sendstad, M. Mortensen, Kent-A. Mardal, B. A. P. Reif, and H. P. Langtangen. Investigations of Transistional flows using image based hemodynamics, In: 8th International Conference on CFD in Oil & Gas, Metallurgical and Process Industries, ed. by , , 2011.

Kent-A. Mardal and R. Winther. Construction of Preconditioners by Mapping Properties for Systems of Partial Differential Equations , In: Efficient preconditioning methods for elliptic partial differential equations , ed. by Owe Axelsson and Janos Karatson. Bentham Science Publishers, chap. 4, pp. 65-84, 2011.

Kent-A. Mardal and B. F. Nielsen. Efficient preconditioning of optimality systems, Precond 11 , 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, H. P. Langtangen, B. A. P. Reif, and D. A. Steinman. 'Turbulence' in Cerebral Aneurysms, CBC Workshop on Biomechanics, 17-18 November, 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. Why blood flow in the vicinity of aneurysms is difficult to compute, Talk at CBC Workshop on CBC Key Topics, 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. Computational Cerebral Hemodynamics, The Norwegian Defence Research Establishment, 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. Simulation Methodology for Cerebral Blood Flow, Biomedical Simulation Lab, Institute of Biomaterials and Biomedical Engineering at the University of Toronto , 2011.

K. Valen-Sendstad, Kent-A. Mardal, M. Mortensen, B. A. P. Reif, and H. P. Langtangen. Direct Numerical Simulation of Transitional Flow in Patient–Specific Intracranial Aneurysms, ASME 2011 Summer Bioengineering Conference, 2011.

Kent-A. Mardal, A. Logg, H. P. Langtangen, and G. Wells. FEniCS: An Attempt to Combine Simplicity, Generality, Efficiency and Reliability, Python-based Software for Solving Partial Differential Equations Minisymposium at SIAM Conference on Computational Science and Engineering, 2011.

Kent-A. Mardal, Karen-H. Støverud, V. Haughton, S. Linge, H. P. Langtangen, G. Rutkowska, and I. N. Drøsdal. Cerebrospinal fluid flow in the upper cervical canal in patients with the Chiari I malformation, 1ST CSF Hydrodynamics Symposium, 2011.

Kent-A. Mardal, K. Valen-Sendstad, M. S. Alnæs, M. Mortensen, H. P. Langtangen, and B. A. P. Reif. The finite element library FEniCS and simulation of blood flow in cerebral aneurysms, Talk at CSB Seminar, University of Stuttgart, 2011.

Kent-A. Mardal, K. Valen-Sendstad, and Ø. Evju. Simulating Blood Flow in Cerebral Aneurysm, Minisymposium "Numerical Methods for Biomedical Problems" on Enumath , 2011.

Kent-A. Mardal and G. Wells. Domain-Specific Languages and Code Generation for PDE Problems , Enumath, 2011.

Kent-A. Mardal, A. Logg, and G. Wells. FEniCS: Automated Solution of Differential Equations, SIAM Conference on Computational Science and Engineering, 2011.

M. S. Alnæs and Kent-A. Mardal. On the Efficiency of Symbolic Computations Combined with Code Generation for Finite Element Methods, ACM Transactions on Mathematical Software 37(1), 2010.

M. Burger, Kent-A. Mardal, and B. F. Nielsen. Stability analysis of the inverse transmembrane potential problem in electrocardiography, Inverse Problems 26(10), 2010.

S. Hentschel, Kent-A. Mardal, A. E. Løvgren, S. Linge, and V. Haughton. Characterization of cyclical CSF flow in the foramen magnum and upper cervical spinal canal with MR flow imaging and Computational Fluid Dynamics, American Journal of Neuroradiology 31(6):997-1002, 2010.

H. Lindekleiv, K. Valen-Sendstad, M. K. Morgan, Kent-A. Mardal, K. Faulder, J. Magnus, K. Waterloo, B. Romner, and T. Ingebrigtsen. Sex differences in intracranial arterial bifurcations, Gender Medicine 7(2), 2010.

B. F. Nielsen and Kent-A. Mardal. Efficient preconditioners for optimality systems arising in connection with inverse problems, SIAM Journal on Control and Optimization 48(8), 2010.

J. Jiang, K. Johnson, K. Valen-Sendstad, Kent-A. Mardal, D. Consigny, O. Wieben, and C. Strother. Comparison of Aneurismal Hemodynamics Between 4D Accelerated Phase-Contrast MR Angiography and Computational Fluid Dynamics Simulations: Initial Experience in a Canine Aneurysm Model, In: Proceedings of the ASME 2010 Summer Bioengineering Conference, ed. by ASME, pp. SBC2010-19455 223, American Society of Mechanical Engineers , ASME, 2010.

Karen-H. Støverud, Kent-A. Mardal, V. Haughton, and H. P. Langtangen. CSF Flow in Chiari I and Syringomyelia - From the Perspective of Fluid dynamics, In: Proceedings of the XIX Symposium Neuroradiologicum, Bologna, Italy, ed. by , vol. ( ), , 2010.

Kent-A. Mardal. CSF Strømning I Forbindelse Med Chiari Malformasjon Og Syringomyelia, CBC Workshop on Clinical Issues Related to the Cerebrospinal Fluid, 2010.

Kent-A. Mardal and B. F. Nielsen. An operator theoretical approach to preconditioning optimality systems, Talk at European Multi-Grid Conference, EMG, 2010, 2010.

Kent-A. Mardal, H. P. Langtangen, and P. Røtnes. Is zombies a threat to mankind?, Talk presented at FEniCS 2010 , 2010.