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DOI: 10.1007/s00466-004-0641-6
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DOI: 10.1007/978-3-319-96415-7_36
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DOI: 10.1002/nme.1961
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DOI: 10.1007/s00211-005-0587-4
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DOI: 10.1007/s00607-007-0226-2
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DOI: 10.1007/s00211-018-0950-x
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DOI: 10.1002/nme.2596
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DOI: 10.3103/S1066369X09030025
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DOI: 10.1134/S0965542509040101
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DOI: 10.1002/num.20455
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DOI: 10.1134/S1995423909030057
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DOI: 10.1007/978-3-540-34288-5_42
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DOI: 10.3103/S1066369X10040031
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DOI: 10.1002/num.20107
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DOI: 10.1007/s12190-018-1199-3
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DOI: 10.1007/978-3-642-00605-0_25
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DOI: 10.1007/978-3-642-15337-2_12
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DOI: 10.1007/s00211-019-01039-5
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DOI: 10.1016/j.cma.2019.02.009
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DOI: 10.1007/978-3-642-23914-4_4
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DOI: 10.1186/s40323-018-0103-x
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DOI: 10.1016/j.cma.2020.113420
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DOI: 10.1016/j.cma.2018.09.009
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DOI: 10.1016/j.camwa.2020.06.007
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DOI: 10.1007/s00466-020-01841-1
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DOI: 10.1137/19M1246869
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DOI: 10.1016/j.camwa.2016.02.035
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DOI: 10.1016/j.jcp.2019.06.066
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DOI: 10.1515/cmam-2017-0011
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DOI: 10.1049/el.2019.1010
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DOI: 10.1016/j.cma.2021.113771
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DOI: 10.1016/j.cma.2019.02.038
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DOI: 10.1016/j.cma.2019.01.035
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DOI: 10.1016/j.cma.2018.12.024
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