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To ensure the existence of a local minimizer to the infinite-dimensional problem, we consider two popular regularization methods: <jats:inline-formula>\n              <jats:alternatives>\n                <jats:tex-math>$$W^{1,p}$$<\/jats:tex-math>\n                <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:msup>\n                    <mml:mi>W<\/mml:mi>\n                    <mml:mrow>\n                      <mml:mn>1<\/mml:mn>\n                      <mml:mo>,<\/mml:mo>\n                      <mml:mi>p<\/mml:mi>\n                    <\/mml:mrow>\n                  <\/mml:msup>\n                <\/mml:math>\n              <\/jats:alternatives>\n            <\/jats:inline-formula>-type penalty methods and density filtering. Previous results prove weak(-*) convergence in the space of the material distribution to a local minimizer of the infinite-dimensional problem. Notably, convergence was not guaranteed to <jats:italic>all<\/jats:italic> the isolated local minimizers. In this work, we show that, for every isolated local or global minimizer, there exists a sequence of finite element local minimizers that strongly converges to the minimizer in the appropriate space. As a by-product, this ensures that there exists a sequence of unfiltered discretized material distributions that does not exhibit checkerboarding.<\/jats:p>","DOI":"10.1007\/s00211-024-01438-3","type":"journal-article","created":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T20:14:14Z","timestamp":1732047254000},"page":"213-248","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Numerical analysis of the SIMP model for the topology optimization problem of minimizing compliance in linear elasticity"],"prefix":"10.1007","volume":"157","author":[{"given":"Ioannis P. 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