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Author ID: mardal.kent-andre Recent zbMATH articles by "Mardal, Kent-Andre"
Published as: Mardal, Kent-Andre; Mardal, Kent-André; Mardal, K.-A.; Mardal, Kent Andre
External Links: MGP · ORCID

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 1,012 times in 843 Documents Cited by Year
Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105
384
2012
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
113
2011
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
107
2002
Computing the electrical activity in the heart. Zbl 1182.92020
Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak
74
2006
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
60
2009
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
55
2017
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
32
2004
A mixed finite element method for nearly incompressible multiple-network poroelasticity. Zbl 1417.65162
Lee, J. J.; Piersanti, E.; Mardal, K.-A.; Rognes, M. E.
17
2019
Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071
Mardal, K.-A.; Nilssen, T. K.; Staff, G. A.
15
2007
An order optimal solver for the discretized bidomain equations. Zbl 1199.65111
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak
14
2007
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
14
2017
Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. Zbl 1352.65099
Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre
12
2016
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
12
2017
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
12
2006
Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre
11
2019
Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. Zbl 07100344
Gergelits, Tomáš; Mardal, Kent-André; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk
9
2019
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
8
2013
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
7
2006
On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375
Alnæs, Martin Sandve; Mardal, Kent-André
6
2010
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628
Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo
5
2021
Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
5
2013
On the singular Neumann problem in linear elasticity. Zbl 07031712
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
5
2019
Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345
Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik
4
2010
Efficient preconditioners for optimality systems arising in connection with inverse problems. Zbl 1208.49047
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
4
2010
Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
4
2019
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo
3
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
3
2021
Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations. Zbl 1232.65128
Nilssen, Trygve K.; Staff, Gunnar A.; Mardal, Kent-Andre
3
2011
Sub-voxel perfusion modeling in terms of coupled \(3d\)-\(1d\) problem. Zbl 1427.65167
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André
3
2018
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study. Zbl 1451.92070
Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E.
3
2020
Introduction to numerical methods for variational problems. Zbl 1432.49001
Langtangen, Hans Petter; Mardal, Kent-Andre
2
2019
Modeling excitable tissue. The EMI framework. Zbl 1467.92008
2
2021
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Zbl 07351746
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre
1
2021
Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 1486.65174
Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E.
1
2021
Transitional flow in intracranial aneurysms – a space and time refinement study below the Kolmogorov scales using lattice Boltzmann method. Zbl 1390.76939
Jain, Kartik; Roller, Sabine; Mardal, Kent-André
1
2016
Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver. Zbl 07132269
Landet, Tormod; Mardal, Kent-Andre; Mortensen, Mikael
1
2020
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot’S equations utilizing total pressure. Zbl 07379628
Boon, Wietse M.; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo
5
2021
Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers. Zbl 1460.35109
Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo
3
2021
Accurate discretization of poroelasticity without Darcy stability. Zbl 1470.65169
Mardal, Kent-Andre; Rognes, Marie E.; Thompson, Travis B.
3
2021
Modeling excitable tissue. The EMI framework. Zbl 1467.92008
2
2021
Robust preconditioning for coupled Stokes-Darcy problems with the Darcy problem in primal form. Zbl 07351746
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre
1
2021
Parameter robust preconditioning by congruence for multiple-network poroelasticity. Zbl 1486.65174
Piersanti, E.; Lee, J. J.; Thompson, T.; Mardal, K.-A.; Rognes, M. E.
1
2021
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli. A mathematical and numerical study. Zbl 1451.92070
Erhardt, André H.; Mardal, Kent-Andre; Schreiner, Jakob E.
3
2020
Slope limiting the velocity field in a discontinuous Galerkin divergence-free two-phase flow solver. Zbl 07132269
Landet, Tormod; Mardal, Kent-Andre; Mortensen, Mikael
1
2020
A mixed finite element method for nearly incompressible multiple-network poroelasticity. Zbl 1417.65162
Lee, J. J.; Piersanti, E.; Mardal, K.-A.; Rognes, M. E.
17
2019
Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre
11
2019
Laplacian preconditioning of elliptic PDEs: localization of the eigenvalues of the discretized operator. Zbl 07100344
Gergelits, Tomáš; Mardal, Kent-André; Nielsen, Bjørn Fredrik; Strakoš, Zdeněk
9
2019
On the singular Neumann problem in linear elasticity. Zbl 07031712
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
5
2019
Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
4
2019
Introduction to numerical methods for variational problems. Zbl 1432.49001
Langtangen, Hans Petter; Mardal, Kent-Andre
2
2019
Sub-voxel perfusion modeling in terms of coupled \(3d\)-\(1d\) problem. Zbl 1427.65167
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André
3
2018
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
55
2017
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
14
2017
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
12
2017
Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. Zbl 1352.65099
Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre
12
2016
Transitional flow in intracranial aneurysms – a space and time refinement study below the Kolmogorov scales using lattice Boltzmann method. Zbl 1390.76939
Jain, Kartik; Roller, Sabine; Mardal, Kent-André
1
2016
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
8
2013
Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
5
2013
Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105
384
2012
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
113
2011
Order optimal preconditioners for fully implicit Runge-Kutta schemes applied to the bidomain equations. Zbl 1232.65128
Nilssen, Trygve K.; Staff, Gunnar A.; Mardal, Kent-Andre
3
2011
On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375
Alnæs, Martin Sandve; Mardal, Kent-André
6
2010
Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345
Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik
4
2010
Efficient preconditioners for optimality systems arising in connection with inverse problems. Zbl 1208.49047
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
4
2010
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
60
2009
Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071
Mardal, K.-A.; Nilssen, T. K.; Staff, G. A.
15
2007
An order optimal solver for the discretized bidomain equations. Zbl 1199.65111
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak
14
2007
Computing the electrical activity in the heart. Zbl 1182.92020
Sundnes, Joakim; Lines, Glenn Terje; Cai, Xing; Nielsen, Bjørn Frederik; Mardal, Kent-Andre; Tveito, Aslak
74
2006
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
12
2006
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
7
2006
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
32
2004
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
107
2002
all top 5

Cited by 1,423 Authors

28 Mardal, Kent-Andre
20 Vasilyeva, Maria V.
18 Ruiz-Baier, Ricardo
17 Chung, Tsz Shun Eric
16 Nordbotten, Jan Martin
13 Hu, Xiaozhe
13 Kuchta, Miroslav
11 Rognes, Marie E.
10 Gatica, Gabriel N.
10 He, Xiaoming
10 Herzog, Roland
10 Winther, Ragnar
9 Nielsen, Bjørn Fredrik
9 Quarteroni, Alfio M.
9 Rozza, Gianluigi
9 Scacchi, Simone
9 Vabishchevich, Pëtr Nikolaevich
9 Zikatanov, Ludmil T.
8 Boon, Wietse M.
8 Brenner, Susanne Cecelia
8 Castelletto, Nicola
8 Efendiev, Yalchin R.
8 Gao, Huadong
8 Kunisch, Karl
8 Yotov, Ivan
7 Adler, James H.
7 Ballarin, Francesco
7 Bendahmane, Mostafa
7 Burman, Erik
7 Chen, Long
7 Farrell, Patrick E.
7 Kahle, Christian
7 Kirby, Robert C.
7 Kumar, Kundan
7 Lee, Jeonghun J.
7 Li, Jian
7 Neilan, Michael
7 Oyarzúa, Ricardo
7 Radu, Florin Adrian
7 Tveito, Aslak
7 van Bockstal, Karel
7 Xu, Jinchao
7 Zampini, Stefano
7 Zunino, Paolo
6 Ghattas, Omar N.
6 Rui, Hongxing
6 Spiteri, Raymond J.
6 Strakoš, Zdeněk
6 Wohlmuth, Barbara I.
6 Yousept, Irwin
6 Zhou, Guanyu
5 Abali, Bilen Emek
5 Axelsson, Axel Owe Holger
5 Chen, Shaochun
5 Chen, Zhangxin
5 Ferronato, Massimiliano
5 Hansbo, Peter
5 Kashiwabara, Takahito
5 Kraus, Johannes K.
5 Li, Jichun
5 Meddahi, Salim
5 Merdon, Christian
5 Mitchell, Lawrence
5 Mora, David
5 Oikawa, Issei
5 Olshanskii, Maxim A.
5 Schöberl, Joachim
5 Sun, Weiwei
5 Tuikina, S. R.
5 Villa, Umberto E.
4 Ahmed, Elyes
4 Alekseev, Valentin
4 Arnold, Douglas Norman
4 Burrage, Clare
4 Collin, Annabelle
4 Gaspar, Francisco José
4 Gerbeau, Jean-Frédéric
4 Gergelits, Tomáš
4 Gjerde, Ingeborg G.
4 Gómez-Vargas, Bryan
4 Gunzburger, Max D.
4 Hong, Qingguo
4 Hu, Kaibo
4 Khan, Arbaz
4 Knudsen, Kim M.
4 Kumar, Sarvesh
4 Lamichhane, Bishnu Prasad
4 Laurino, Federica
4 Linke, Alexander
4 Lymbery, Maria
4 Mao, Shipeng
4 Marquez-Duran, Antonio M.
4 Massing, André
4 Meng, Zhaoliang
4 Pavarino, Luca Franco
4 Pavel’chak, I. A.
4 Pultarová, Ivana
4 Repin, Sergeĭ Igorevich
4 Rodrigo, Carmen
4 Schneier, Michael
...and 1,323 more Authors
all top 5

Cited in 147 Serials

91 SIAM Journal on Scientific Computing
59 Computer Methods in Applied Mechanics and Engineering
45 Journal of Computational Physics
38 Computers & Mathematics with Applications
37 Journal of Scientific Computing
33 Journal of Computational and Applied Mathematics
31 SIAM Journal on Numerical Analysis
26 Numerische Mathematik
20 Computational Geosciences
18 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
16 Mathematics of Computation
16 Numerical Algorithms
13 Applied Numerical Mathematics
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Advances in Computational Mathematics
12 Inverse Problems
12 Journal of Fluid Mechanics
10 BIT
10 Numerical Methods for Partial Differential Equations
9 Applied Mathematics and Computation
9 Calcolo
8 Computational Mechanics
8 SIAM Journal on Applied Mathematics
8 SIAM/ASA Journal on Uncertainty Quantification
7 Mathematical Methods in the Applied Sciences
7 International Journal for Numerical Methods in Engineering
7 Computational Mathematics and Modeling
7 Applied Mathematical Modelling
6 Mathematics and Computers in Simulation
6 Computational Optimization and Applications
6 Communications in Computational Physics
6 GEM - International Journal on Geomathematics
5 Computers and Fluids
5 SIAM Journal on Control and Optimization
5 SIAM Journal on Matrix Analysis and Applications
5 Journal of Cosmology and Astroparticle Physics
4 Mathematical Biosciences
4 Journal of Elasticity
4 ETNA. Electronic Transactions on Numerical Analysis
4 Computational Methods in Applied Mathematics
4 SIAM Journal on Imaging Sciences
3 Acta Mechanica
3 Journal of Engineering Mathematics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Applied Mathematics and Optimization
3 Acta Applicandae Mathematicae
3 Japan Journal of Industrial and Applied Mathematics
3 SIAM Journal on Optimization
3 Journal of Mathematical Imaging and Vision
3 Numerical Linear Algebra with Applications
3 Optimization and Engineering
3 Nonlinear Analysis. Real World Applications
3 Foundations of Computational Mathematics
3 Multiscale Modeling & Simulation
3 Inverse Problems in Science and Engineering
3 Advances in Applied Mathematics and Mechanics
3 International Journal of Advances in Engineering Sciences and Applied Mathematics
3 SMAI Journal of Computational Mathematics
2 Applicable Analysis
2 Archive for Rational Mechanics and Analysis
2 International Journal of Engineering Science
2 Journal of Mathematical Analysis and Applications
2 ACM Transactions on Mathematical Software
2 Moscow University Computational Mathematics and Cybernetics
2 Computational Mathematics and Mathematical Physics
2 International Journal of Computer Mathematics
2 SIAM Review
2 Bulletin of the American Mathematical Society. New Series
2 Computational and Applied Mathematics
2 Journal of Computational Neuroscience
2 Engineering Analysis with Boundary Elements
2 Mathematics and Mechanics of Solids
2 Computing and Visualization in Science
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Abstract and Applied Analysis
2 European Journal of Mechanics. A. Solids
2 Advances in Difference Equations
2 International Journal of Numerical Analysis and Modeling
2 Computational & Mathematical Methods in Medicine
2 Advances in Numerical Analysis
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 AIMS Mathematics
2 Communications on Applied Mathematics and Computation
2 Electronic Research Archive
2 Results in Applied Mathematics
1 International Journal for Numerical Methods in Fluids
1 Journal of the Mechanics and Physics of Solids
1 Wave Motion
1 Bulletin of Mathematical Biology
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 Applied Mathematics Letters
1 Asymptotic Analysis
...and 47 more Serials
all top 5

Cited in 40 Fields

629 Numerical analysis (65-XX)
335 Fluid mechanics (76-XX)
302 Partial differential equations (35-XX)
163 Mechanics of deformable solids (74-XX)
109 Biology and other natural sciences (92-XX)
86 Calculus of variations and optimal control; optimization (49-XX)
46 Optics, electromagnetic theory (78-XX)
31 Computer science (68-XX)
23 Geophysics (86-XX)
16 Statistics (62-XX)
15 Probability theory and stochastic processes (60-XX)
15 Classical thermodynamics, heat transfer (80-XX)
15 Statistical mechanics, structure of matter (82-XX)
14 Operations research, mathematical programming (90-XX)
12 Systems theory; control (93-XX)
9 Global analysis, analysis on manifolds (58-XX)
9 Information and communication theory, circuits (94-XX)
6 Operator theory (47-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Ordinary differential equations (34-XX)
5 Relativity and gravitational theory (83-XX)
4 Real functions (26-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Approximations and expansions (41-XX)
3 Functional analysis (46-XX)
3 Quantum theory (81-XX)
2 Combinatorics (05-XX)
2 Integral equations (45-XX)
2 Differential geometry (53-XX)
1 History and biography (01-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year