TU Darmstadt | Fachbereich Mathematik | Research Group Numerical Analysis and Scientific Computing

Research Group
Numerical Analysis and Scientific Computing

List of Publications


List of Publications  |  List of Recent Publications  |  Last update: 23.04.2024 11:41.

Preprints (14)

2024
; and : "Robust a posteriori error control for the Allen-Cahn equation with variable mobility", arXiv, 2024. [doi]
; and : "Numerical Discretisation of Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles", arXiv, 2024. [doi]
; and : "Energy-consistent Petrov-Galerkin time discretization of port-Hamiltonian systems", arXiv, 2024. [doi]
and : "A priori error estimates of Runge Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws", arXiv, 2024. [doi]
2023
; and : "Grading of triangulations generated by bisection", arXiv, 2023. [doi]
and : "Regularity and long time behavior of a doubly nonlinear parabolic problem and its discretization", arXiv, 2023. [doi]
; and : "Observer-based data assimilation for barotropic gas transport using distributed measurements", arXiv, 2023. [doi]
and : "A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model", arXiv, 2023. [doi]
and : "Theory of shifts, shocks, and the intimate connections to $L^2$-type a posteriori error analysis of numerical schemes for hyperbolic problems", arXiv, 2023. [doi]
and : "A posteriori error control for a Discontinuous Galerkin approximation of a Keller-Segel model", arXiv, 2023. [doi]
and : "A-posteriori error estimates for systems of hyperbolic conservation laws", arXiv, 2023. [doi]
and : "An Observer for pipeline flow with hydrogen blending in gas networks: exponential synchronization", arXiv, 2023. [doi]
and : "Stability of step size control based on a posteriori error estimates", arXiv, 2023. [doi]
2022
and : "Improving Weak PINNs for Hyperbolic Conservation Laws: Dual Norm Computation, Boundary Conditions and Systems", arXiv, 2022. [doi]

Refereed Articles (116)

2024
; ; ; ; and : "Novel Aspects in Pattern Formation Arise from Coupling Turing Reaction–Diffusion and Chemotaxis", Bull Math Biol, vol. 86, pp. (published online 1 Dec 2023), 2024. [doi]
; and : "Data-driven snapshot calibration via monotonic feature matching", Finite Elements in Analysis and Design, vol. 230, pp. 104065, 2024. [doi]
and : "Dimensions of Exactly Divergence-Free Finite Element Spaces in 3D", SIAM J. Sci. Comput., vol. 46, no. 2, pp. A1102–A1131, 2024. [doi]
2023
; and : "On the convergence of the regularized entropy-based moment method for kinetic equations", SMAI-JCM, Société de Mathématiques Appliquées et Industrielles, vol. 9, pp. 1–29, 2023. [doi] [preprint]
and : "Stability and asymptotic analysis for instationary gas transport via relative energy estimates", Numer. Math., Springer, 2023. [doi] [preprint]
; and : "A posteriori error estimates for wave maps into spheres", Adv. Comput. Math., Springer, vol. 49, 2023. [doi] [preprint]
and : "Exact discrete solutions of boundary control problems for the 1D heat equation", J. Optim. Theory Appl, vol. 196, pp. 1106–1118, 2023. [doi]
; ; and : "Physics informed neural networks: A case study for gas transport problems", J. Comput. Phys., vol. 481, pp. 112041, 2023. [doi]
2022
; and : "Fortin operator for the Taylor-Hood element", Numer. Math., vol. 150, no. 2, pp. 671–689, 2022. [doi] [preprint]
; and : "Fast and reliable transient simulation and continuous optimization of large-scale gas networks", Math. Methods Oper. Res., vol. 95, no. 3, pp. 475–501, 2022. [doi]
; ; ; and : "Adapted Contour Integration for Nonlinear Eigenvalue Problems in Waveguide Coupled Resonators", IEEE Trans. Antennas and Propagation, vol. 70, no. 1, pp. 499-513, 2022. [doi]
; and : "Shape optimization in acoustic–structure interaction", Eng. Computations, vol. 39, no. 1, pp. 172–200, 2022. [doi]
and : "Discrete adjoint implicit peer methods in optimal control", J. Comput. Appl. Math., vol. 416, pp. Paper No. 114596, 15, 2022. [doi]
and : "Implicit A-stable peer triplets for ODE constrained optimal control problems", Algorithms, vol. 15, pp. 310, 2022. [doi]
; ; and : "Homogenization of the time-dependent heat equation on planar one-dimensional periodic structures", Appl. Anal., Taylor & Francis, vol. 101, no. 12, pp. 4046–4075, 2022. [doi]
; and : "A class of boundary conditions for time-discrete Green-Naghdi equations with bathymetry", SIAM J. Numer. Anal., vol. 60, no. 5, pp. 2681–2712, 2022. [doi] [preprint]
and : "Impedance boundary conditions for acoustic time harmonic wave propagation in viscous gases in two dimensions", Math. Meth. Appl. Sci., vol. 45, no. 12, pp. 7404–7425, 2022. [doi]
; ; and : "Probabilistic constrained optimization on flow networks", Optim. Eng., vol. 23, no. 2, pp. 983–1032, 2022. [doi]
; and : "A novel nonlocal partial differential equation model of endothelial progenitor cell cluster formation during the early stages of vasculogenesis", J Theor Biol, vol. 534, pp. 110963, 2022. [doi] [preprint]
; ; and : "An asymptotic-preserving discretization scheme for gas transport in pipe networks", IMA J. Numer. Anal., 2022. [doi] [preprint]
2021
; ; ; ; and : "Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-15 [Preface]", J. Comput. Appl. Math., vol. 387, pp. Paper No. 112611, 2, 2021. [doi]
; ; and : "Residual estimates for post-processors in elliptic problems", J. Sci. Comput., vol. 88, no. 2, pp. Paper No. 34, 28, 2021. [doi] [preprint]
; and : "On the Sobolev and $L^p$-stability of the $L^2$-projection", SIAM J. Numer. Anal., vol. 59, no. 5, pp. 2571–2607, 2021. [doi] [preprint]
; and : "Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems", J. Comput. Appl. Math., vol. 387, pp. 112618, 2021. [doi]
and : "A third-order weighted essentially non-oscillatory scheme in optimal control problems governed by nonlinear hyperbolic conservation laws", Comput. Optim. Appl., vol. 80, no. 1, pp. 301–320, 2021. [doi]
; and : "Error control for statistical solutions of hyperbolic systems of conservation laws", Calcolo, vol. 58, no. 2, pp. Paper No. 23, 29, 2021. [doi] [preprint]
and : "Boundary feedback stabilization of a semilinear model for the flow in star-shaped gas networks", ESAIM Control Optim. Calc. Var., vol. 27, pp. Paper No. 67, 24, 2021. [doi]
; and : "Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks", IMA J. Math. Control Inform., vol. 38, no. 4, pp. 1109–1147, 2021. [doi] [preprint]
; and : "Conditioning of implicit Runge-Kutta integration for finite element approximation of linear diffusion equations on anisotropic meshes", J. Comput. Appl. Math., vol. 387, pp. Paper No. 112497, 17, 2021. [doi]
and : "A local radial basis function differential quadrature semi-discretisation technique for the simulation of time-dependent reaction-diffusion problems", Engineering Computations, vol. 38, no. 6, pp. 2666-2691, 2021. [doi]
; ; ; and : "Uncertainty Quantification Guided Parameter Selection in a Fully Coupled Molecular Dynamics-Finite Element Model of the Mechanical Behavior of Polymers", J. Chem. Theory Comput., vol. 17, no. 6, pp. 3760-3771, 2021. [doi]
; and : "Super-convergent implicit-explicit Peer methods with variable step sizes", J. Comput. Appl. Math., vol. 387, pp. Paper No. 112501, 16, 2021. [doi]
; ; ; and : "Quantification of bore path uncertainty in borehole heat exchanger arrays using adaptive anisotropic stochastic collocation", Geothermics, vol. 97, no. 4, pp. 102194, 2021. [doi]
; and : "Stochastic Galerkin Reduced Basis Methods for Parametrized Linear Convection-Diffusion-Reaction Equations", Fluids, vol. 6, pp. 263, 2021. [doi]
; ; and : "Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress–Strain Constitutive Equations", Bull Math Biol, vol. 83, pp. Article 80, 2021. [doi] [preprint]
2020
and : "Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary", Numer. Math., vol. 144, no. 4, pp. 751–785, 2020. [doi] [preprint]
; and : "A posteriori error analysis and adaptive non-intrusive numerical schemes for systems of random conservation laws", BIT, vol. 60, no. 3, pp. 619–649, 2020. [doi] [preprint]
; and : "A fully adaptive multilevel stochastic collocation strategy for solving elliptic PDEs with random data", J. Comput. Phys., vol. 419, pp. 109692, 17, 2020. [doi]
; and : "A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method", IMA J. Numer. Anal., vol. 40, no. 2, pp. 1094–1121, 2020. [doi] [preprint]
; and : "Convergence analysis of Grad's Hermite expansion for linear kinetic equations", SIAM J. Numer. Anal., vol. 58, no. 2, pp. 1164–1194, 2020. [doi] [preprint]
and : "Fully discrete finite element approximation of unsteady flows of implicitly constituted incompressible fluids", IMA J. Numer. Anal., vol. 40, no. 2, pp. 801–849, 2020. [doi] [preprint]
; and : "An adaptive moving finite element method for steady low Mach number compressible combustion problems", Internat. J. Numer. Methods Fluids, vol. 92, no. 9, pp. 1081–1095, 2020. [doi]
; ; ; ; ; ; ; ; ; ; and : "In vitro and in silico modeling of cellular and matrix-related changes during the early phase of osteoarthritis", Biofabrication, vol. 12, pp. 045016, 2020. [doi]
2019
; ; and : "POD model order reduction with space-adapted snapshots for incompressible flows", Adv. Comput. Math., vol. 45, no. 5-6, pp. 2401–2428, 2019. [doi]
; and : "Entropy-preserving coupling of hierarchical gas models", SIAM J. Math. Anal., vol. 51, no. 6, pp. 4754–4775, 2019. [doi]
; and : "A Bramble-Pasciak conjugate gradient method for discrete Stokes equations with random viscosity", SIAM/ASA J. Uncertain. Quantif., vol. 7, no. 3, pp. 787–805, 2019. [doi]
2018
; ; and : "A space-jump derivation for non-local models of cell-cell adhesion and non-local chemotaxis", J. Math. Biol., vol. 76, pp. 429–456, 2018. [doi]
; ; ; and : "Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy", Electron. Trans. Numer. Anal., vol. 48, pp. 97–113, 2018. [doi]
; ; and : "Existence and uniqueness of global classical solutions to a two dimensional two species cancer invasion haptotaxis model", Discrete Contin. Dyn. Syst. Ser. B, vol. 23, no. 10, pp. 4397–4431, 2018. [doi] [preprint]
and : "Entropy-preserving coupling conditions for one-dimensional Euler systems at junctions", Netw. Heterog. Media, vol. 13, no. 1, pp. 177–190, 2018. [doi]
; ; and : "On impedance conditions for circular multiperforated acoustic liners", J. Math. Ind., vol. 8, no. 1, pp. 15, 2018. [doi]
; and : "Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part", J. Comput. Phys., vol. 367, pp. 121–133, 2018. [doi]
; and : "On the homogenization of the Helmholtz problem with thin perforated walls of finite length", ESAIM Math. Model. Numer. Anal., vol. 52, no. 1, pp. 29–67, 2018. [doi]
and : "On the homogenization of the acoustic wave propagation in perforated ducts of finite length for an inviscid and a viscous model", Proc. R. Soc. Lond. A, vol. 474, no. 2210, 2018. [doi]
2017
; ; and : "Structured models of cell migration incorporating molecular binding processes", J Math Biol, vol. 75, pp. 1517–1561, 2017. [doi]
; and : "A High Order Galerkin Method for Integrals over Contour Lines with an Application to Plasma Physics", SIAM Numer. Math., vol. 55, no. 6, pp. 2592–2615, 2017. [doi]
; and : "Relative energy for the Korteweg theory and related Hamiltonian flows in gas dynamics", Arch. Ration. Mech. Anal., vol. 223, no. 3, pp. 1427–1484, 2017. [doi] [preprint]
and : "\emphA posteriori analysis for dynamic model adaptation in convection-dominated problems", Math. Models Methods Appl. Sci., vol. 27, no. 13, pp. 2381–2423, 2017. [doi] [preprint]
and : "Stability properties of the Euler-Korteweg system with nonmonotone pressures", Appl. Anal., vol. 96, no. 9, pp. 1528–1546, 2017. [doi] [preprint]
and : "The asymptotic homogenization elasticity tensor properties for composites with material discontinuities", Contin. Mech. Thermodyn., vol. 29, pp. 187–206, 2017. [doi]
; and : "Space–time adaptive linearly implicit peer methods for parabolic problems", J. Comput. Appl. Math., vol. 316, pp. 330-344, 2017. [doi]
2016
and : "A posteriori analysis of fully discrete method of lines discontinuous Galerkin schemes for systems of conservation laws", SIAM J. Numer. Anal., vol. 54, no. 6, pp. 3523–3549, 2016. [doi] [preprint]
; and : "On the homogenization of thin perforated walls of finite length", Asymptot. Anal., vol. 97, no. 3-4, pp. 211–264, 2016. [doi]
: "Relative entropy based error estimates for discontinuous Galerkin schemes", Bull. Braz. Math. Soc. (N.S.), vol. 47, no. 1, pp. 359–372, 2016. [doi]
and : "Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics", BIT, vol. 56, no. 1, pp. 99–127, 2016. [doi] [preprint]
; ; ; and : "Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues", Bioinspir. & Biomim., vol. 11, pp. 035004, 2016. [doi]
; and : "Equivalent Transmission Conditions for the time-harmonic Maxwell equations in 3D for a Medium with a Highly Conductive Thin Sheet", SIAM J. Appl. Math., vol. 76, no. 3, pp. 1031–1052, 2016. [doi]
and : "Absorbing boundary conditions for acoustic models at low viscosity in a waveguide", Math. Meth. Appl. Sci., vol. 39, no. 17, pp. 5043–5065, 2016. [doi]
2015
: "Low Mach asymptotic-preserving scheme for the Euler-Korteweg model", IMA J. Numer. Anal., vol. 35, no. 2, pp. 802–833, 2015. [doi] [preprint]
: "Relative entropy in multi-phase models of 1d elastodynamics: convergence of a non-local to a local model", J. Differential Equations, vol. 258, no. 10, pp. 3589–3606, 2015. [doi] [preprint]
; and : "A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws", SIAM J. Numer. Anal., vol. 53, no. 3, pp. 1280–1303, 2015. [doi] [preprint]
and : "Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model", ESAIM Math. Model. Numer. Anal., vol. 49, no. 1, pp. 275–301, 2015. [doi] [preprint]
; ; ; ; ; ; and : "To what extent can cortical bone millimeter-scale elasticity be predicted by a two-phase composite model with variable porosity?", Acta Biomater., vol. 12, pp. 207–215, 2015. [doi]
; ; ; ; and : "Robustness of a new molecular dynamics-finite element coupling approach for soft matter systems analyzed by uncertainty quantification", J. Chem. Phys., vol. 142, pp. 104105, 2015. [doi]
; ; and : "A nonlocal model for contact attraction and repulsion in heterogeneous cell populations", Bull Math Biol, vol. 77, pp. 1132–1165, 2015. [doi]
and : "Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study", Comput. Visual Sci., vol. 17, pp. 185–201, 2015. [doi]
; and : "Non-conforming Galerkin finite element methods for symmetric local absorbing boundary conditions", Comput. Math. Appl., vol. 70, no. 9, pp. 2252–2269, 2015. [doi]
and : "An analysis of Feng's and other symmetric local absorbing boundary conditions", ESAIM: Math. Model. Numer. Anal., vol. 49, no. 1, pp. 257–273, 2015. [doi]
and : "Asymptotic boundary element methods for thin conducting sheets", Discrete Contin. Dyn. Syst. Ser. S, vol. 8, no. 3, pp. 619–647, 2015. [doi]
; and : "Defect corrected averaging for highly oscillatory problems", Appl. Math. Comput., vol. 261, pp. 90–103, 2015. [doi]
2014
; ; and : "A quasi-incompressible diffuse interface model with phase transition", Math. Models Methods Appl. Sci., vol. 24, no. 5, pp. 827–861, 2014. [doi]
; ; and : "Mathematical modelling of cancer invasion: Implications of cell adhesion variability for tumour infiltrative growth patterns", J. Theor. Biol., vol. 361, pp. 41-60, 2014. [doi]
; and : "A compressible mixture model with phase transition", Phys. D, vol. 273/274, pp. 1–13, 2014. [doi]
: "A relative entropy approach to convergence of a low order approximation to a nonlinear elasticity model with viscosity and capillarity", SIAM J. Math. Anal., vol. 46, no. 5, pp. 3518–3539, 2014. [doi]
; and : "Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system", Math. Comp., vol. 83, no. 289, pp. 2071–2099, 2014. [doi] [preprint]
and : "Geometric error of finite volume schemes for conservation laws on evolving surfaces", Numer. Math., vol. 128, no. 3, pp. 489–516, 2014. [doi] [preprint]
and : "Singular limiting induced from continuum solutions and the problem of dynamic cavitation", Arch. Ration. Mech. Anal., vol. 212, no. 1, pp. 241–281, 2014. [doi] [preprint]
; and : "Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides", Comput. Math. Appl., vol. 67, no. 4, pp. 918–943, 2014. [doi]
and : "An efficient calculation of photonic crystal band structures using Taylor expansions", Commun. Comput. Phys., vol. 16, no. 5, pp. 1355–1388, 2014. [doi]
and : "Robust transmission conditions of high order for thin conducting sheets in two dimensions", IEEE Trans. Magn., vol. 50, no. 2, pp. 41–44, 2014. [doi]
and : "Asymptotic boundary element methods for thin conducting sheets in two dimensions", IEEE Trans. Magn., vol. 50, no. 2, pp. 469–472, 2014. [doi]
; and : "Asymptotic analysis for acoustics in viscous gases close to rigid walls", Math. Models Meth. Appl. Sci., vol. 24, no. 9, pp. 1823–1855, 2014. [doi]
; ; ; ; ; ; and : "On the elastic properties of mineralized turkey leg tendon tissue: multiscale model and experiment", Biomech Model Mechanobiol, vol. 13, no. 15, pp. 1003–1023, 2014. [doi]
and : "Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides", IEEE Trans. Magn., vol. 50, no. 2, pp. 217–220, 2014. [doi]
2013
and : "A unified analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model", SIAM J. Appl. Math., vol. 73, no. 6, pp. 1980–2003, 2013. [doi]
; ; and : "Hp-FEM and PML analysis of plasmonic particles in layered media", Progress In Electromagnetics Research, vol. 142, pp. 523–544, 2013. [doi]
2012
; ; and : "Asymptotic analysis for Korteweg models", Interfaces Free Bound., vol. 14, no. 1, pp. 105–143, 2012. [doi]
; ; ; ; ; ; and : "Spatial distribution of tissue level properties in a human femoral cortical bone", J Biomech, vol. 45, pp. 2264 - 2270, 2012. [doi]
2011
; ; ; and : "Mathematical modeling of cancer cell invasion of tissue: biological insight from mathematical analysis and computational simulation", J. Math. Biol., vol. 63, pp. 141-171, 2011. [doi]
; ; and : "A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties", Biomech Model Mechanobiol, vol. 10, pp. 925-937, 2011. [doi]
; ; ; and : "A hybrid bioregulatory model of angiogenesis during bone fracture healing", Biomech Model Mechanobiol, vol. 10, pp. 383-395, 2011. [doi]
and : "High order transmission conditions for thin conductive sheets in magneto-quasistatics", ESAIM: Math. Model. Numer. Anal., vol. 45, no. 6, pp. 1115–1140, 2011. [doi]
; and : "A multiscale hp-FEM for 2D photonic crystal bands", J. Comput. Phys., vol. 230, no. 2, pp. 349–374, 2011. [doi]
; ; and : "On high-order FEM applied to canonical scattering problems in plasmonics", J. Comput. Theor. Nanosci., vol. 8, no. 8, pp. 1564–1572, 2011. [doi]
2010
; ; and : "Numerical simulation of two-dimensional and three-dimensional axisymmetric advection-diffusion systems with complex geometries using finite-volume methods", Proc. R. Soc. A, vol. 466, pp. 1621–1643, 2010. [doi]
; and : "Mathematical Modeling in Wound Healing, Bone Regeneration and Tissue Engineering", Acta Biotheor, vol. 58, pp. 355–367, 2010. [doi]
: "On the approximation and efficient evaluation of integral terms in PDE models of cell adhesion", IMA J. Numer. Anal., vol. 30, pp. 173–194, 2010. [doi]
; ; and : "Multiscale structure–functional modeling of lamellar bone", Proc. Mtgs. Acoust., vol. 9, pp. 020005, 2010. [doi]
and : "Asymptotic modelling of conductive thin sheets", Z. Angew. Math. Phys., vol. 61, no. 4, pp. 603–626, 2010. [doi]
and : "Efficient computation of photonic crystal waveguide modes with dispersive material", Opt. Express, vol. 18, no. 7, pp. 7307–7322, 2010. [doi]
2009
; and : "Advances on 3D geoelectric forward solver techniques", Geophys. J. Int., vol. 176, pp. 740–752, 2009. [doi]
; and : "Computations of Lossy Bloch Waves in Two-Dimensional Photonic Crystals", J. Comput. Theor. Nanosci., vol. 6, no. 3, pp. 775–783, 2009. [doi]
; ; and : "High-order linearly implicit two-step peer–finite element methods for time-dependent PDEs", Appl. Numer. Math., vol. 59, pp. 624–638, 2009. [doi]
: "A convergence result for finite volume schemes on Riemannian manifolds", M2AN Math. Model. Numer. Anal., vol. 43, no. 5, pp. 929–955, 2009. [doi]
and : "Computation of the band structure of two-dimensional Photonic Crystals with \em hp Finite Elements", Comput. Methods Appl. Mech. Engrg., vol. 198, no. 13–14, pp. 1249–1259, 2009. [doi]
2008
; and : "Estimating the eddy-current modelling error", IEEE Trans. Magn., vol. 44, no. 6, pp. 686–689, 2008. [doi]

Refereed Conference and Workshop Papers (2)

2012
; ; ; ; ; and : "Contributions of Pore Volume Fraction and Mineralized Matrix Elasticity to Millimeter-Scale Cortical Bone Elastic Coefficients", In: IASTED Biomedical Engineering, 15.-17.02.2012, Innsbruck, Austria (Hellmich, C.; Hamza, M. H.; Simsik, D., eds.), ACTA Press, pp. Contribution 764-133, 2012. [doi]
2010
; and : "Insight into the Structure-Function Relationship of the Bone Lamellar Unit through Finite Element Modelling Based on High-Frequency SAM Data", In: World Congress on Medical Physics and Biomedical Engineering, September 7 - 12, 2009, Munich, Germany (Dössel, Olaf; Schlegel, Wolfgang C., eds.), Springer Berlin Heidelberg, pp. 2246–2249, 2010. [doi]

Book Chapters (25)

2022
; and : "Adaptive single- and multilevel stochastic collocation methods for uncertain gas transport in large-scale networks", Chapter in Mesh generation and adaptation—cutting-edge techniques, Springer, Cham, pp. 113–135, 2022. [doi]
2021
: "Rosenbrock-Wanner methods: construction and mission", Chapter in Rosenbrock–Wanner-type methods—theory and applications, Springer, Cham, pp. 1–17, 2021. [doi]
and : "Well-balanced and asymptotic preserving IMEX-peer methods", Chapter in Numerical mathematics and advanced applications—ENUMATH 2019, Springer, Cham, pp. 861–870, 2021.
and : "Multi-Scale Analysis of Contact-Dependent Interaction in Tissue Aggregation and Invasion", Chapter in Systems Medicine: Integrative, Qualitative and Computational Approaches (Wolkenhauer, Olaf, ed.), Academic Press, Oxford, pp. 156-168, 2021. [doi]
2020
and : "Model adaptation of balance laws based on a posteriori error estimates and surrogate fluxes", Chapter in Finite volumes for complex applications IX—methods, theoretical aspects, examples—FVCA 9, Bergen, Norway, June 2020, Springer, Cham, pp. 375–383, 2020. [doi]
2018
and : "Residual error indicators for discontinuous Galerkin schemes for discontinuous solutions to systems of conservation laws", Chapter in Theory, numerics and applications of hyperbolic problems. I, Springer, Cham, pp. 459–471, 2018. [doi]
and : "A posteriori analysis for the Euler-Korteweg model", Chapter in Theory, numerics and applications of hyperbolic problems. I, Springer, Cham, pp. 631–642, 2018. [doi]
; and : "A Bramble-Pasciak conjugate gradient method for discrete Stokes problems with lognormal random viscosity", Chapter in Recent advances in computational engineering, Springer, Cham, pp. 63–87, 2018. [doi]
; and : "A weighted reduced basis method for parabolic PDEs with random data", Chapter in Recent advances in computational engineering, Springer, Cham, pp. 145–161, 2018. [doi]
2017
and : "Goal-oriented error analysis of a DG scheme for a second gradient elastodynamics model", Chapter in Finite volumes for complex applications VIII—methods and theoretical aspects, Springer, Cham, pp. 457–466, 2017. [doi]
; and : "Cross-diffusion in reaction-diffusion models: analysis, numerics and applications", Chapter in Progress in Industrial Mathematics at ECMI 2016 (Quintela, P.; Barrali, Patricia; Gómez, Dolores; others, eds.), Springer International Publishing, Cham, pp. 385–392, 2017. [doi]
and : "An introduction to asymptotic homogenization", Chapter in Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications (Gerisch, A.; Penta, R.; Lang, J., eds.), Springer International Publishing, Cham, pp. 1–26, 2017. [doi]
; and : "Simulation of reflection and transmission properties of multiperforated acoustic liners", Chapter in Progress in Industrial Mathematics at ECMI 2016, Springer International Publishing, pp. 69–76, 2017. [doi]
2016
; ; and : "Multiscale Computational Modelling and Analysis of Cancer Invasion", Chapter in Mathematical Models and Methods for Living Systems: Levico Terme, Italy 2014 (Preziosi, Luigi; Chaplain, Mark; Pugliese, Andrea, eds.), Springer International Publishing, Cham, pp. 275–321, 2016. [doi]
2014
; and : "The problem of dynamic cavitation in nonlinear elasticity", Chapter in Séminaire Laurent Schwartz—Équations aux dérivées partielles et applications. Année 2012–2013, École Polytech., Palaiseau, pp. Exp. No. XIV, 17, 2014.
and : "Estimating the geometric error of finite volume schemes for conservation laws on surfaces for generic numerical flux functions", Chapter in Finite volumes for complex applications VII. Methods and theoretical aspects, Springer, Cham, pp. 323–331, 2014. [doi]
and : "On aposteriori error analysis of dG schemes approximating hyperbolic conservation laws", Chapter in Finite volumes for complex applications VII. Methods and theoretical aspects, Springer, Cham, pp. 313–321, 2014. [doi]
and : "On cavitation in elastodynamics", Chapter in Hyperbolic problems: theory, numerics, applications, Am. Inst. Math. Sci. (AIMS), Springfield, MO, pp. 599–606, 2014. [preprint]
2013
and : "Finite volume schemes for balance laws on time-dependent surfaces", Chapter in Numerical methods for hyperbolic equations: theory and applications, CRC Press/Balkema, Leiden, pp. 251–258, 2013. [doi]
2012
; ; ; ; and : "A diffuse interface model for quasi-incompressible flows: sharp interface limits and numerics", Chapter in CEMRACS'11: Multiscale coupling of complex models in scientific computing, EDP Sci., Les Ulis, pp. 54–77, 2012. [doi]
; ; ; ; ; ; ; and : "Sediment transport modelling: relaxation schemes for Saint-Venant–Exner and three layer models", Chapter in CEMRACS'11: Multiscale coupling of complex models in scientific computing, EDP Sci., Les Ulis, pp. 78–98, 2012. [doi]
: "Sharp interface limits for Korteweg models", Chapter in Hyperbolic problems—theory, numerics and applications. Volume 2, World Sci. Publishing, Singapore, pp. 422–430, 2012.
2011
and : "Mathematical Modelling of Cell Adhesion in Tissue Engineering using Continuum Models", Chapter in Cellular and Biomolecular Mechanics and Mechanobiology (Gefen, Amit, ed.), Springer Berlin Heidelberg, pp. 431-450, 2011. [doi]
2010
and : "Mathematical Modeling of Cell Adhesion and Its Applications to Developmental Biology and Cancer Invasion", Chapter in Cell Mechanics: From Single Scale-Based Models to Multiscale Modeling (Chauvière, A.; Preziosi, L.; Verdier, C., eds.), Chapman & Hall/CRC, pp. 319–349, 2010. [doi]
2008
: "Convergence rate of finite volume schemes for hyperbolic conservation laws on Riemannian manifolds", Chapter in Finite volumes for complex applications V, ISTE, London, pp. 463–470, 2008.

Books (1)

2017
; and : "Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications", Springer, Cham, 2017. [doi]
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