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On properly layer-adapted meshes we can apply finite element methods and observe convergence.\n  We will consider standard Galerkin and stabilised FEM applied to a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1403.0407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-03T12:22:18Z","cross_cats_sorted":[],"title_canon_sha256":"92fba3b792f33c064cefccd76cd2796ac314da1ed0f10ab802a580b56fa1ee90","abstract_canon_sha256":"3da0c88149ba2c7f9c8734afe6ccdc7d4f7df681f152c5f391db169d72060b10"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:24.941879Z","signature_b64":"bLo/6xbzzhM5tI+Ds2obw0EyGAArtH7JJwYIWRFL8tVH+TIbFnkwLS1SHufHCaOxRcM9DJE8PS+7fzOWZEQLDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe568217bbae9505ade7a9f7573014134d4a38a4149ab889675b34f8450426e7","last_reissued_at":"2026-05-18T02:57:24.941215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:24.941215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Uniform Error Estimation for Convection-Diffusion Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Sebastian Franz","submitted_at":"2014-03-03T12:22:18Z","abstract_excerpt":"Let us consider the singularly perturbed model problem $Lu:=-\\varepsilon\\Delta u-bu_x+c u =f$ with homogeneous Dirichlet boundary conditions on $\\Gamma=\\partial\\Omega$ $u|_\\Gamma =0$ on the unit-square $\\Omega=(0,1)^2$. 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