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Banach spaces-based mixed finite element methods for the coupled Navier–Stokes and Poisson–Nernst–Planck equations.
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- Calcolo, 2024, v. 61, n. 2, p. 1, doi. 10.1007/s10092-024-00584-2
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- Article
Robust finite element methods and solvers for the Biot–Brinkman equations in vorticity form.
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- Numerical Methods for Partial Differential Equations, 2024, v. 40, n. 3, p. 1, doi. 10.1002/num.23083
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New non-augmented mixed finite element methods for the Navier–Stokes–Brinkman equations using Banach spaces.
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- Journal of Numerical Mathematics, 2023, v. 31, n. 4, p. 343, doi. 10.1515/jnma-2022-0073
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New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2023, v. 57, n. 3, p. 1511, doi. 10.1051/m2an/2023024
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- Article
A posteriori error analysis of Banach spaces-based fully-mixed finite element methods for Boussinesq-type models.
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- Journal of Numerical Mathematics, 2022, v. 30, n. 4, p. 325, doi. 10.1515/jnma-2021-0101
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A new DG method for a pure–stress formulation of the Brinkman problem with strong symmetry.
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- Networks & Heterogeneous Media, 2022, v. 17, n. 6, p. 1, doi. 10.3934/nhm.2022031
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- Article
Coupling Chemotaxis and Growth Poromechanics for the Modelling of Feather Primordia Patterning.
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- Mathematics (2227-7390), 2022, v. 10, n. 21, p. 4096, doi. 10.3390/math10214096
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A new mechanochemical model for apical constriction: Coupling calcium signalling and viscoelasticity.
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- Frontiers in Systems Biology, 2022, v. 2, p. 1, doi. 10.3389/fsysb.2022.962790
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Lp spaces-based formulation yielding a new fully mixed finite element method for the coupled Darcy and heat equations.
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- IMA Journal of Numerical Analysis, 2022, v. 42, n. 4, p. 3154, doi. 10.1093/imanum/drab063
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Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations.
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- Journal of Numerical Mathematics, 2022, v. 30, n. 3, p. 209, doi. 10.1515/jnma-2021-0053
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- Article
A Poroelastic Approach for Modelling Myocardial Oedema in Acute Myocarditis.
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- Frontiers in Physiology, 2022, v. 13, p. 1, doi. 10.3389/fphys.2022.888515
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- Article
Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity.
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- Calcolo, 2021, v. 58, n. 4, p. 1, doi. 10.1007/s10092-021-00433-6
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- Article
Coupling Stokes Flow with Inhomogeneous Poroelasticity.
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- Quarterly Journal of Mechanics & Applied Mathematics, 2021, v. 74, n. 4, p. 411, doi. 10.1093/qjmam/hbab014
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New primal and dual-mixed finite element methods for stable image registration with singular regularization.
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- Mathematical Models & Methods in Applied Sciences, 2021, v. 31, n. 5, p. 979, doi. 10.1142/S021820252150024X
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Virtual element methods for the three-field formulation of time-dependent linear poroelasticity.
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- Advances in Computational Mathematics, 2021, v. 47, n. 1, p. 1, doi. 10.1007/s10444-020-09826-7
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A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport.
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- IMA Journal of Numerical Analysis, 2021, v. 41, n. 1, p. 381, doi. 10.1093/imanum/drz060
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- Article
A new mixed finite element method for the n-dimensional Boussinesq problem with temperature-dependent viscosity.
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- Networks & Heterogeneous Media, 2020, v. 15, n. 2, p. 215, doi. 10.3934/nhm.2020010
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- Article
An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion.
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- Biomechanics & Modeling in Mechanobiology, 2020, v. 19, n. 2, p. 633, doi. 10.1007/s10237-019-01237-y
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Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics.
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- Calcolo, 2020, v. 57, n. 1, p. 1, doi. 10.1007/s10092-019-0351-2
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- Article
Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2020, v. 54, n. 1, p. 273, doi. 10.1051/m2an/2019063
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Vorticity‐pressure formulations for the Brinkman‐Darcy coupled problem.
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- Numerical Methods for Partial Differential Equations, 2019, v. 35, n. 2, p. 528, doi. 10.1002/num.22312
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Competing Mechanisms of Stress-Assisted Diffusivity and Stretch-Activated Currents in Cardiac Electromechanics.
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- Frontiers in Physiology, 2018, p. N.PAG, doi. 10.3389/fphys.2018.01714
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- Article
Stability of a second‐order method for phase change in porous media flow.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2018, v. 18, n. 1, p. 1, doi. 10.1002/pamm.201800021
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Discontinuous approximation of flow in porous media with adsorption.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2018, v. 18, n. 1, p. 1, doi. 10.1002/pamm.201800064
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- Article
Error analysis of an augmented mixed method for the Navier–Stokes problem with mixed boundary conditions.
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- IMA Journal of Numerical Analysis, 2018, v. 38, n. 3, p. 1452, doi. 10.1093/imanum/drx039
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- Article
Pure vorticity formulation and Galerkin discretization for the Brinkman equations.
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- IMA Journal of Numerical Analysis, 2017, v. 37, n. 4, p. 2020, doi. 10.1093/imanum/drw056
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- Article
An augmented stress-based mixed finite element method for the steady state Navier-Stokes equations with nonlinear viscosity.
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- Numerical Methods for Partial Differential Equations, 2017, v. 33, n. 5, p. 1692, doi. 10.1002/num.22166
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A POSTERIORI ERROR ANALYSIS FOR A VISCOUS FLOW-TRANSPORT PROBLEM.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2016, v. 50, n. 6, p. 1789, doi. 10.1051/m2an/2016007
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A discontinuous method for oil-water flow in heterogeneous porous media.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2016, v. 16, n. 1, p. 763, doi. 10.1002/pamm.201610370
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- Article
Turing pattern dynamics and adaptive discretization for a super-diffusive Lotka-Volterra model.
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- Journal of Mathematical Biology, 2016, v. 72, n. 6, p. 1441, doi. 10.1007/s00285-015-0917-9
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A mixed-primal finite element approximation of a sedimentation-consolidation system.
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- Mathematical Models & Methods in Applied Sciences, 2016, v. 26, n. 5, p. 867, doi. 10.1142/S0218202516500202
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- Article
An augmented velocity-vorticity-pressure formulation for the Brinkman equations.
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- International Journal for Numerical Methods in Fluids, 2015, v. 79, n. 3, p. 109, doi. 10.1002/fld.4041
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- Article
AN AUGMENTED MIXED-PRIMAL FINITE ELEMENT METHOD FOR A COUPLED FLOW-TRANSPORT PROBLEM.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2015, v. 49, n. 5, p. 1399, doi. 10.1051/m2an/2015015
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STABILIZED MIXED APPROXIMATION OF AXISYMMETRIC BRINKMAN FLOWS.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2015, v. 49, n. 3, p. 855, doi. 10.1051/m2an/2015011
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Solvability analysis and numerical approximation of linearized cardiac electromechanics.
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- Mathematical Models & Methods in Applied Sciences, 2015, v. 25, n. 5, p. 959, doi. 10.1142/S0218202515500244
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Finite element and finite volume-element simulation of pseudo-ECGs and cardiac alternans.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 6, p. 1046, doi. 10.1002/mma.3127
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Mathematical modelling of active contraction in isolated cardiomyocytes.
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- Mathematical Medicine & Biology: A Journal of the IMA, 2014, v. 31, n. 3, p. 259, doi. 10.1093/imammb/dqt009
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Convergence of a stabilized discontinuous Galerkin method for incompressible nonlinear elasticity.
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- Advances in Computational Mathematics, 2013, v. 39, n. 2, p. 425, doi. 10.1007/s10444-012-9286-8
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A finite volume element method for simulating secondary settling tanks.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2012, v. 12, n. 1, p. 667, doi. 10.1002/pamm.201210322
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A MULTIRESOLUTION METHOD FOR THE SIMULATION OF SEDIMENTATION IN INCLINED CHANNELS.
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- International Journal of Numerical Analysis & Modeling, 2012, v. 9, n. 3, p. 479
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Orthotropic active strain models for the numerical simulation of cardiac biomechanics.
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- International Journal for Numerical Methods in Biomedical Engineering, 2012, v. 28, n. 6/7, p. 761, doi. 10.1002/cnm.2473
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Active strain and activation models in cardiac electromechanics.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2011, v. 11, n. 1, p. 119, doi. 10.1002/pamm.201110051
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- Article
ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS.
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- Mathematical Models & Methods in Applied Sciences, 2011, v. 21, n. 2, p. 307, doi. 10.1142/S0218202511005064
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A multiresolution space-time adaptive scheme for the bidomain model in electrocardiology.
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- Numerical Methods for Partial Differential Equations, 2010, v. 26, n. 6, p. 1377, doi. 10.1002/num.20495
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On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding.
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- Mathematical Methods in the Applied Sciences, 2009, v. 32, n. 13, p. 1704, doi. 10.1002/mma.1107
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