×

zbMATH — the first resource for mathematics

Mardal, Kent-Andre

Compute Distance To:
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
Documents Indexed: 35 Publications since 2002, including 4 Books

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 764 times in 655 Documents Cited by Year
Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105
Logg, Anders (ed.); Mardal, Kent-Andre (ed.); Wells, Garth (ed.)
290
2012
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
95
2002
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
89
2011
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
63
2006
Unified finite element discretizations of coupled Darcy-Stokes flow. Zbl 1157.76026
Karper, Trygve; Mardal, Kent-Andre; Winther, Ragnar
49
2009
Parameter-robust discretization and preconditioning of Biot’s consolidation model. Zbl 1381.76183
Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
38
2017
Uniform preconditioners for the time dependent Stokes problem. Zbl 1058.65101
Mardal, Kent-Andre; Winther, Ragnar
30
2004
An order optimal solver for the discretized bidomain equations. Zbl 1199.65111
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak
14
2007
Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071
Mardal, K.-A.; Nilssen, T. K.; Staff, G. A.
11
2007
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
11
2006
Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. Zbl 1421.74095
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar
11
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
8
2016
Uniform preconditioners for the time dependent Stokes problem. Zbl 1094.65045
Mardal, Kent-Andre; Winther, Ragnar
7
2006
A uniformly stable Fortin operator for the Taylor-Hood element. Zbl 1261.65120
Mardal, Kent-Andre; Schöberl, Joachim; Winther, Ragnar
7
2013
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
7
2017
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.
5
2019
On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375
Alnæs, Martin Sandve; Mardal, Kent-André
5
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
Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre
4
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
Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
3
2019
Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
3
2013
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
1
2011
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
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.
1
2020
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.
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.
5
2019
Multigrid methods for discrete fractional Sobolev spaces. Zbl 1419.65102
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre
4
2019
Preconditioning trace coupled \(3d-1d\) systems using fractional Laplacian. Zbl 1437.65014
Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael
3
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
38
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
11
2017
Robust preconditioners for PDE-constrained optimization with limited observations. Zbl 1368.65099
Mardal, Kent-André; Nielsen, Bjørn Fredrik; Nordaas, Magne
7
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
8
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
7
2013
Analysis of the minimal residual method applied to ill posed optimality systems. Zbl 1266.49038
Nielsen, Bjørn Fredrik; Mardal, Kent-Andre
3
2013
Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105
Logg, Anders; Mardal, Kent-Andre; Wells, Garth
290
2012
Preconditioning discretizations of systems of partial differential equations. Zbl 1249.65246
Mardal, Kent-Andre; Winther, Ragnar
89
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
1
2011
On the efficiency of symbolic computations combined with code generation for finite element methods. Zbl 1364.68375
Alnæs, Martin Sandve; Mardal, Kent-André
5
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
49
2009
An order optimal solver for the discretized bidomain equations. Zbl 1199.65111
Mardal, Kent-Andre; Nielsen, Bjørn Fredrik; Cai, Xing; Tveito, Aslak
14
2007
Order-optimal preconditioners for implicit Runge-Kutta schemes applied to parabolic PDEs. Zbl 1133.65071
Mardal, K.-A.; Nilssen, T. K.; Staff, G. A.
11
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
63
2006
An observation on Korn’s inequality for nonconforming finite element methods. Zbl 1086.65112
Mardal, Kent-Andre; Winther, Ragnar
11
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
30
2004
A robust finite element method for Darcy-Stokes flow. Zbl 1037.65120
Mardal, Kent Andre; Tai, Xue-Cheng; Winther, Ragnar
95
2002
all top 5

Cited by 1,122 Authors

19 Mardal, Kent-Andre
16 Nordbotten, Jan Martin
13 Vasilyeva, Maria V.
12 Chung, Tsz Shun Eric
11 Ruiz-Baier, Ricardo
10 Hu, Xiaozhe
10 Winther, Ragnar
9 Gatica, Gabriel N.
9 Herzog, Roland
8 Brenner, Susanne Cecelia
8 Gao, Huadong
8 He, Xiaoming
8 Nielsen, Bjørn Fredrik
8 Rozza, Gianluigi
8 Vabishchevich, Pëtr Nikolaevich
7 Bendahmane, Mostafa
7 Castelletto, Nicola
7 Chen, Long
7 Kirby, Robert C.
7 Kumar, Kundan
7 Kunisch, Karl
7 Rognes, Marie E.
7 Scacchi, Simone
7 Zikatanov, Ludmil T.
6 Ballarin, Francesco
6 Farrell, Patrick E.
6 Kahle, Christian
6 Kuchta, Miroslav
6 Lee, Jeonghun J.
6 Li, Jian
6 Neilan, Michael
6 Oyarzúa, Ricardo
6 Quarteroni, Alfio M.
6 Radu, Florin Adrian
6 Spiteri, Raymond J.
6 Wohlmuth, Barbara I.
6 Xu, Jinchao
6 Yotov, Ivan
6 Yousept, Irwin
6 Zampini, Stefano
6 Zhou, Guanyu
5 Boon, Wietse M.
5 Burman, Erik
5 Chen, Shaochun
5 Ghattas, Omar N.
5 Kashiwabara, Takahito
5 Meddahi, Salim
5 Mitchell, Lawrence
5 Oikawa, Issei
5 Rui, Hongxing
5 Sun, Weiwei
5 Tuikina, S. R.
5 Tveito, Aslak
5 Villa, Umberto E.
5 Zunino, Paolo
4 Adler, James H.
4 Ahmed, Elyes
4 Arnold, Douglas Norman
4 Axelsson, Axel Owe Holger
4 Chen, Zhangxin
4 Collin, Annabelle
4 Efendiev, Yalchin R.
4 Ferronato, Massimiliano
4 Gaspar, Francisco José
4 Gerbeau, Jean-Frédéric
4 Gunzburger, Max D.
4 Hansbo, Peter
4 Hu, Kaibo
4 Kraus, Johannes K.
4 Lamichhane, Bishnu Prasad
4 Li, Jichun
4 Marquez-Duran, Antonio M.
4 Massing, André
4 Merdon, Christian
4 Mora, David
4 Olshanskii, Maxim A.
4 Pavel’chak, I. A.
4 Repin, Sergeĭ Igorevich
4 Rodrigo, Carmen
4 Schöberl, Joachim
4 Solov’eva, S. I.
4 Spiridonov, Denis
4 Strakoš, Zdeněk
4 Vassilevski, Panayot Spirov
4 Wheeler, Mary Fanett
4 Xie, Dexuan
4 Ying, Jinyong
4 Zhao, Jikun
4 Zulehner, Walter
3 Abali, Bilen Emek
3 Cai, Mingchao
3 Cao, Yanzhao
3 Ciarletta, Pasquale
3 Cotter, Colin John
3 Elvetun, Ole Løseth
3 Gergelits, Tomáš
3 Gjerde, Ingeborg G.
3 Hong, Qingguo
3 Huang, Xuehai
3 Huang, Yunqing
...and 1,022 more Authors
all top 5

Cited in 129 Serials

73 SIAM Journal on Scientific Computing
42 Computer Methods in Applied Mechanics and Engineering
34 Computers & Mathematics with Applications
32 Journal of Computational Physics
30 Journal of Computational and Applied Mathematics
27 SIAM Journal on Numerical Analysis
27 Journal of Scientific Computing
25 Numerische Mathematik
17 Computational Geosciences
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Mathematics of Computation
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Applied Numerical Mathematics
12 Numerical Algorithms
10 Inverse Problems
10 Numerical Methods for Partial Differential Equations
10 Advances in Computational Mathematics
9 Journal of Fluid Mechanics
9 BIT
8 Calcolo
7 Mathematical Methods in the Applied Sciences
7 Applied Mathematics and Computation
7 International Journal for Numerical Methods in Engineering
7 Computational Mathematics and Modeling
7 Applied Mathematical Modelling
7 SIAM Journal on Applied Mathematics
6 SIAM/ASA Journal on Uncertainty Quantification
4 Computers and Fluids
4 Mathematical Biosciences
4 Mathematics and Computers in Simulation
4 SIAM Journal on Control and Optimization
4 SIAM Journal on Matrix Analysis and Applications
4 Computational Optimization and Applications
4 GEM - International Journal on Geomathematics
3 Computational Mechanics
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 ETNA. Electronic Transactions on Numerical Analysis
3 Nonlinear Analysis. Real World Applications
3 Computational Methods in Applied Mathematics
3 Multiscale Modeling & Simulation
3 Inverse Problems in Science and Engineering
3 SIAM Journal on Imaging Sciences
3 International Journal of Advances in Engineering Sciences and Applied Mathematics
2 Acta Mechanica
2 Archive for Rational Mechanics and Analysis
2 International Journal of Engineering Science
2 Journal of Engineering Mathematics
2 Journal of Mathematical Analysis and Applications
2 ACM Transactions on Mathematical Software
2 Moscow University Computational Mathematics and Cybernetics
2 Acta Applicandae Mathematicae
2 Journal of Elasticity
2 SIAM Review
2 Mathematics and Mechanics of Solids
2 Computing and Visualization in Science
2 Abstract and Applied Analysis
2 Foundations of Computational Mathematics
2 Computational & Mathematical Methods in Medicine
2 Advances in Numerical Analysis
2 SMAI Journal of Computational Mathematics
2 Electronic Research Archive
1 Applicable Analysis
1 International Journal for Numerical Methods in Fluids
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
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
1 Applications of Mathematics
1 Computational Mathematics and Mathematical Physics
1 International Journal of Computer Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Stochastic Processes and their Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mathematical Programming. Series A. Series B
1 Continuum Mechanics and Thermodynamics
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Computational Neuroscience
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Fractional Calculus & Applied Analysis
...and 29 more Serials
all top 5

Cited in 35 Fields

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

Citations by Year