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Preprints
[P1] Precompact probability spaces in applied stochastic homogenization. WIAS Preprint 2852, 2021.
[P2] MH, Benedikt Jahnel and Anh Duc Vu. Stochastic homogenization on irregularly perforated domains. WIAS Preprint 2880, 2021.
[P3] MH, Manuel Landstorfer, Matthias Liero. Homogenization of a porous intercalation electrode with phase separation. WIAS Preprint 2905, 2021.
[P4] MH, Alexander Sikorski, Marcus Weber. Consistency and order 1 convergence of cell-centered finite volume discretizations of degenerate elliptic problems in any space dimension. WIAS Preprint 2913, 2022.
[P5] Yonas Bokredenghel, MH. Quenched homogenization of infinite range random conductance model on stationary point processes. WIAS Preprint 3017, 2023.
[P6] On the computation of high dimensional Voronoi diagrams. WIAS Preprint 3041, 2023.
Publications in refereed journals
[H34] Stochastic homogenization on perforated domains I -- Extension Operators.. Networks and Heterogeneous Media, 18(4),1820–1897, 2023. (WIAS preprint 2849)
[S33] MH, Manuel Landstorfer. Energie effizienter speichern. Spektrum der Wissenschaft, pages 72-79, August 2023.
[H32] HighVoronoi.jl -- A Julia package for (local) Voronoi Diagrams in High dimensions.. GitHub or install via Julia, 2023.
[H31] Finite Volumes for Simulation of Large Molecules.. FVCA 2023: Finite Volumes for Complex Applications X—Volume 1, Elliptic and Parabolic Problems, 28(4),305–313, 2023. (WIAS preprint 3018)
[H30] Stochastic homogenization on perforated domains III -- General estimates for stationary ergodic random connected Lipschitz domains.. Networks and Heterogeneous Media, 18(4),1410–1433, 2023. (WIAS preprint 2932)
[H29] Stochastic homogenization on perforated domains II -- Application to nonlinear elasticity models.. ZAMM, 102(12), 2022. (WIAS preprint 2865)
[H28] MH, Marita Thomas. GENERIC for dissipative solids with bulk-interface interaction.. in Research in Mathematics of Materials Science , 333–364, 2022. (WIAS preprint 2872)
[H27] MH, Stefan Neukamm and Mario Varga. Stochastic two-scale convergence and Young measures.. Networks and Heterogeneous Media, 17(2):227–254, 2022. (WIAS preprint 2885)
[H26] MH, M. Kantner, and A. Stephan. Consistency and convergence for a family of finite volume discretizations of the Fokker–Planck operator. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 55:3017–3042, 2021. (WIAS preprint 2684)
[H25] O. Souček , MH, and J. Málek. On a thermodynamic framework for developing boundary conditions for Korteweg fluids. International Journal of Engineering Science, 154, 2020. (Preprint)
[H24] B. Franchi, MH, and S. Lorenzani. A mathematical model for Alzheimer’s disease: An approach via stochastic homogenization of the Smoluchowski equation. Communications in Mathematical Sciences, 18(4):1105–1134, 2020. (Preprint)
[H23] MH, R. Kornhuber, and J. Podlesny. Fractal homogenization of multiscale interface problems. SIAM Multiscale Modeling and Simulation, 18(1):294–314, 2020.(Preprint)
[H22] MH, S. Neukamm, and M. Varga. Stochastic homogenization of Λ-convex gradient flows. Accepted by Discrete and Continuous Dynamical Systems – S, 2020. (Preprint)
[H21] F. Flegel and MH. The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps. Calculus of Variations and Partial Differential Equations, 59(1):8, 2020. (Preprint)
[H20] F. Flegel, MH, and M. Slowik. Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps. Annales de l’Institut Henry Poincaré probabilités et statistiques, 55(3):1226–1257, 2019. (Preprint)
[H19] MH and S. Nesenenko. Stochastic homogenization of rate-dependent models of monotone type in plasticity. Asymptotic Analysis, 112(3-4):185–212, 2019. (Preprint)
[H18] MH, R. I. Patterson, and D. M. Renger. Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. Journal of Evolution Equations, 19(1):111–152, 2019. (Preprint)
[H17] MH and M. Röger. Large deviation principle for a stochastic Allen–Cahn equation. Journal of Theoretical Probability, 31(1):364–401, 2018. (Preprint)
[H16] Convergences of the squareroot approximation scheme to the Fokker–Planck operator. Mathematical Models and Methods in Applied Sciences, 28(13):2599–2635, 2018. (Preprint)
[H15] L. Donati, MH, B. G. Keller, and M. Weber. Estimation of the infinitesimal generator by square-root approximation. Journal of Physics: Condensed Matter, 30(42):425201, 2018. (Preprint)
[H14] MH and B. Schweizer. Stochastic homogenization of plasticity equations. ESAIM: Control, Optimisation and Calculus of Variations, 24(1):153–176, 2018. (Preprint)
[H13] C. Dörlemann, MH, and B. Schweizer. Transmission conditions for the Helmholtz-equation in perforated domains. Vietnam Journal of Mathematics, On the occasion of the 75th Birthday of W. Jäger, 45(1-2):241–253, 2017. (Preprint)
[H12] Stochastic homogenization of rate-independent systems and applications. Continuum Mechanics and Thermodynamics, 29(3):853–894, 2017. (Preprint)
[H11] MH and A. Mielke. Averaging of time-periodic dissipation potentials in rate-independent processes. Discrete & Continuous Dynamical Systems-Series S, 10(6), 2017. (Preprint)
[H10] MH and B. Schweizer. Non-periodic homogenization of infinitesimal strain plasticity equations. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 96(1):5–23, 2016. (Preprint)
[H09] Existence of solutions for two types of generalized versions of the Cahn–Hilliard equation. Applications of Mathematics, 60(1):51–90, 2015. (Preprint)
[H08] On systems of Cahn–Hilliard and Allen–Cahn equations considered as gradient flows in Hilbert spaces. Journal of Mathematical Analysis and Applications, 423(1):410–455, 2015. (Preprint)
[H07] On thermodynamics of fluid interfaces. International Journal of Engineering Science, 82:178–195, 2014. (Preprint)
[H06] On the derivation of thermodynamically consistent boundary conditions for the Cahn–Hilliard–Navier–Stokes system. International Journal of Engineering Science, 62:126–156, 2013. (Preprint)
[H05] MH, J. Málek, and K. Rajagopal. On the development and generalizations of Allen–Cahn and Stefan equations within a thermodynamic framework. Zeitschrift für angewandte Mathematik und Physik, 63(4):759–776, 2012. (Preprint)
[H04] MH, J. Málek, and K. R. Rajagopal. On the development and generalizations of Cahn–Hilliard equations within a thermodynamic framework. Zeitschrift für angewandte Mathematik und Physik, 63(1):145–169, 2012. (Preprint)
[H03] Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Applicable Analysis, 91(7):1243–1264, 2012.
[H02] An extension of the stochastic two-scale convergence method and application. Asymptotic Analysis, 72(1-2):1–30, 2011.
[H01] MH and J. Málek. On compressible Korteweg fluid-like materials. International Journal of Engineering Science, 48(11):1313–1324, 2010. (Preprint)
PhD Thesis
Modeling Multiphase Flow in Porous Media with an Application to Permafrost Soil. (Access to full text.)
Diploma Thesis
Stochastic Homogenization of Heat Transfer through a Polycrystal,
University of Heidelberg, 2008.
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Last modified: 2018-04-08 by Martin Heida