The Finite Element Method with Lagrange Multipliers for Domains with Corners

DOI10.2307/2007497zbMath0474.65081OpenAlexW4256353983MaRDI QIDQ3928972

Juhani Pitkäranta

Publication date: 1981

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007497

zbMATH Keywords

Lagrange multipliersDirichlet problemfinite element methodweighted Sobolev spaceserror analysisdomains with corners

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method ⋮ Contact Analysis Within the Bi-Potential Framework Using Cell-Based Smoothed Finite Element Method ⋮ On some techniques for approximating boundary conditions in the finite element method ⋮ Une méthode d'éléments finis hybrides en décomposition de domaines ⋮ Weak imposition of boundary conditions for the Navier--Stokes equations. ⋮ Dual mixed finite element methods for the elasticity problem with Lagrange multipliers ⋮ Error estimates for Neumann boundary control problems with energy regularization ⋮ On the accuracy of least squares methods in the presence of corner singularities