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Cited article:
Oliver G. Ernst, Antje Mugler, Hans-Jörg Starkloff, Elisabeth Ullmann
ESAIM: M2AN, 46 2 (2012) 317-339
Published online: 2011-10-12
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DOI: 10.1137/130913511
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DOI: 10.1137/120897109
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DOI: 10.1002/nme.6571
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DOI: 10.1007/978-3-319-77767-2_42
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DOI: 10.1002/oca.2329
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DOI: 10.1080/00401706.2016.1164078
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DOI: 10.1016/j.jmaa.2017.04.062
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DOI: 10.1007/978-3-319-12385-1_19
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DOI: 10.1002/jnm.2776
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DOI: 10.1016/j.advwatres.2017.10.023
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DOI: 10.1016/j.jcp.2017.01.047
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DOI: 10.1002/mma.5290
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DOI: 10.1007/978-3-319-05365-3_50
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DOI: 10.1115/1.4037362
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DOI: 10.1016/j.ress.2019.106733
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DOI: 10.1137/16M1062223
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DOI: 10.1137/16M1057668
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DOI: 10.1016/j.ifacol.2018.11.036
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DOI: 10.1016/j.compstruc.2020.106408
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DOI: 10.1016/j.cnsns.2018.12.011
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DOI: 10.1016/j.jcp.2018.12.020
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DOI: 10.1016/j.jprocont.2019.01.010
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DOI: 10.1016/j.probengmech.2018.08.001
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DOI: 10.1016/j.strusafe.2018.06.004
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DOI: 10.1016/j.compstruct.2020.112915
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DOI: 10.1002/gamm.201900005
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DOI: 10.1016/j.jcp.2019.02.013
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DOI: 10.1177/0954407019835315
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DOI: 10.1016/j.cma.2016.09.024
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DOI: 10.1016/j.proci.2014.05.030
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DOI: 10.1016/j.amc.2020.125764
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DOI: 10.1016/j.nucengdes.2016.11.032
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DOI: 10.1016/j.jcp.2019.03.039
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DOI: 10.1017/jpr.2017.9
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DOI: 10.4208/nmtma.2017.0001
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DOI: 10.4208/eajam.150616.071216a
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DOI: 10.1017/S0956792514000072
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DOI: 10.1137/20M1322029
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DOI: 10.3390/sym11010043
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DOI: 10.1007/978-3-319-11259-6_19-1
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DOI: 10.1007/s10203-019-00247-w
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DOI: 10.1016/j.ymssp.2019.04.042
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DOI: 10.1007/978-3-319-11259-6_30-1
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DOI: 10.1016/j.cam.2019.112602
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DOI: 10.1016/j.cma.2019.112736
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DOI: 10.1016/j.cma.2020.113368
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DOI: 10.1002/pamm.201800434
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DOI: 10.1109/TNNLS.2019.2899649
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DOI: 10.1016/j.ymssp.2018.06.044
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DOI: 10.1016/j.probengmech.2020.103027
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DOI: 10.1080/07362994.2020.1733017
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DOI: 10.1007/s00009-019-1338-6
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DOI: 10.1016/j.ijhydene.2020.03.200
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DOI: 10.1016/j.jocs.2020.101287
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DOI: 10.1007/s11004-019-09806-8
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DOI: 10.1016/j.matcom.2020.04.009
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DOI: 10.1007/s40430-020-02367-6
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DOI: 10.1080/07362994.2020.1777163
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DOI: 10.1016/j.camwa.2020.05.023
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DOI: 10.1175/JPO-D-19-0147.1
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