Martin Heida

473 total citations
27 papers, 284 citations indexed

About

Martin Heida is a scholar working on Computational Theory and Mathematics, Mechanics of Materials and Computational Mechanics. According to data from OpenAlex, Martin Heida has authored 27 papers receiving a total of 284 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computational Theory and Mathematics, 12 papers in Mechanics of Materials and 9 papers in Computational Mechanics. Recurrent topics in Martin Heida's work include Advanced Mathematical Modeling in Engineering (17 papers), Composite Material Mechanics (10 papers) and Advanced Numerical Methods in Computational Mathematics (7 papers). Martin Heida is often cited by papers focused on Advanced Mathematical Modeling in Engineering (17 papers), Composite Material Mechanics (10 papers) and Advanced Numerical Methods in Computational Mathematics (7 papers). Martin Heida collaborates with scholars based in Germany, Czechia and United States. Martin Heida's co-authors include Josef Málek, Κ. R. Rajagopal, Ben Schweizer, Bettina G. Keller, Marcus Weber, Ondřej Souček, D. R. Michiel Renger, Robert I. A. Patterson and Alexander Mielke and has published in prestigious journals such as Journal of Physics Condensed Matter, Journal of Mathematical Analysis and Applications and International Journal of Engineering Science.

In The Last Decade

Martin Heida

25 papers receiving 273 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Martin Heida Germany 8 111 105 101 89 61 27 284
Georgia Karali Greece 11 160 1.4× 69 0.7× 150 1.5× 74 0.8× 15 0.2× 33 307
Andrea Giorgini Italy 11 314 2.8× 121 1.2× 255 2.5× 167 1.9× 8 0.1× 24 423
Maria G. Reznikoff Germany 8 35 0.3× 66 0.6× 71 0.7× 55 0.6× 9 0.1× 10 250
Е. В. Радкевич Russia 10 93 0.8× 49 0.5× 100 1.0× 162 1.8× 23 0.4× 98 367
Yoshihiro Tonegawa Japan 12 105 0.9× 31 0.3× 227 2.2× 321 3.6× 15 0.2× 43 457
Julian Fischer Germany 9 60 0.5× 92 0.9× 83 0.8× 77 0.9× 8 0.1× 29 254
Cecilia Cavaterra Italy 9 68 0.6× 25 0.2× 127 1.3× 76 0.9× 20 0.3× 38 257
Sergio Frigeri Italy 13 366 3.3× 103 1.0× 320 3.2× 212 2.4× 10 0.2× 23 497
Edoardo Mainini Italy 10 48 0.4× 14 0.1× 98 1.0× 107 1.2× 32 0.5× 29 291
Carlos Zuppa Argentina 10 19 0.2× 136 1.3× 74 0.7× 19 0.2× 175 2.9× 22 334

Countries citing papers authored by Martin Heida

Since Specialization
Citations

This map shows the geographic impact of Martin Heida's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Martin Heida with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Martin Heida more than expected).

Fields of papers citing papers by Martin Heida

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Martin Heida. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Martin Heida. The network helps show where Martin Heida may publish in the future.

Co-authorship network of co-authors of Martin Heida

This figure shows the co-authorship network connecting the top 25 collaborators of Martin Heida. A scholar is included among the top collaborators of Martin Heida based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Martin Heida. Martin Heida is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
2.
Heida, Martin. (2023). Stochastic homogenization on perforated domains Ⅰ – Extension Operators. Networks and Heterogeneous Media. 18(4). 1820–1897.
3.
Souček, Ondřej, Martin Heida, & Josef Málek. (2020). On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. International Journal of Engineering Science. 154. 103316–103316. 8 indexed citations
4.
Heida, Martin, et al.. (2019). Stochastic homogenization of rate-dependent models of monotone type in plasticity. Asymptotic Analysis. 112(3-4). 185–212. 2 indexed citations
5.
Heida, Martin, et al.. (2018). Estimation of the infinitesimal generator by square-root approximation. Journal of Physics Condensed Matter. 30(42). 425201–425201. 19 indexed citations
6.
Heida, Martin. (2018). Convergences of the squareroot approximation scheme to the Fokker–Planck operator. Mathematical Models and Methods in Applied Sciences. 28(13). 2599–2635. 1 indexed citations
7.
Heida, Martin, Robert I. A. Patterson, & D. R. Michiel Renger. (2018). 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. 8 indexed citations
8.
Heida, Martin & Ben Schweizer. (2017). Stochastic homogenization of plasticity equations. ESAIM Control Optimisation and Calculus of Variations. 24(1). 153–176. 6 indexed citations
9.
Heida, Martin, Robert I. A. Patterson, & D. R. Michiel Renger. (2016). The space of bounded variation with infinite-dimensional codomain. Open MIND. 1 indexed citations
10.
Heida, Martin. (2016). Stochastic homogenization of rate-independent systems. Open MIND. 1 indexed citations
11.
Heida, Martin. (2015). Existence of solutions for two types of generalized versions of the Cahn-Hilliard equation. Applications of Mathematics. 60(1). 51–90. 7 indexed citations
12.
Heida, Martin. (2014). 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. 3 indexed citations
13.
Heida, Martin & Ben Schweizer. (2014). Stochastic homogenization of plasticity equations. ESAIM Control Optimisation and Calculus of Variations. 24(1). 153–176. 3 indexed citations
14.
Heida, Martin, Josef Málek, & Κ. R. Rajagopal. (2012). 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. 24 indexed citations
15.
Heida, Martin. (2012). On gradient flows of nonconvex functionals in Hilbert spaces with Riemannian metric and application to Cahn-Hilliard equations. Technische Universität Dortmund Eldorado (Technische Universität Dortmund). 5 indexed citations
16.
Heida, Martin. (2012). On the derivation of thermodynamically consistent boundary conditions for the Cahn–Hilliard–Navier–Stokes system. International Journal of Engineering Science. 62. 126–156. 29 indexed citations
17.
Heida, Martin. (2012). A two-scale model of two-phase ow in porous media ranging from porespace to the macro scale. Technische Universität Dortmund Eldorado (Technische Universität Dortmund). 7 indexed citations
18.
Heida, Martin. (2011). Stochastic homogenization of heat transfer in polycrystals with nonlinear contact conductivities. Applicable Analysis. 91(7). 1243–1264. 5 indexed citations
19.
Heida, Martin, Josef Málek, & Κ. R. Rajagopal. (2011). On the development and generalizations of Cahn–Hilliard equations within a thermodynamic framework. Zeitschrift für angewandte Mathematik und Physik. 63(1). 145–169. 61 indexed citations
20.
Heida, Martin. (2011). An extension of the stochastic two-scale convergence method and application. Asymptotic Analysis. 72(1-2). 1–30. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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