Optimal Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight‐edged triangles

DOI10.1002/zamm.201900296arXiv1910.08411OpenAlexW3040548413WikidataQ114234271 ScholiaQ114234271MaRDI QIDQ6149416

Vitoriano Ruas

Publication date: 5 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.08411

zbMATH Keywords

finite elementsbiharmonic equationPoisson equationLagrangecurvilinear boundarytrianglesDirichletHermitestraight-edged

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)

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