{"paper":{"title":"Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Domingo A. Tarzia, Mariela C. Olguin","submitted_at":"2015-12-31T21:31:45Z","abstract_excerpt":"The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\\alpha >0$) is obtained through the finite element method when its parameter $h\\rightarrow 0$. We also obtain the limit of the discrete optimal control and the associated state system solutions when $\\alpha\\rightarrow \\infty$ (for each $h>0$) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when $h\\rightarrow 0$ and $\\alpha\\rightarrow \\infty$. Moreover, the double conver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.00012","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}