Unification of distance inequalities for linear variational problems

DOI10.1007/s40314-014-0163-6zbMath1329.35013OpenAlexW2038042835MaRDI QIDQ747204

Vitoriano Ruas, José Alberto Cuminato

Publication date: 23 October 2015

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01218082/file/Cuminato_2014_Unification_of.pdf

zbMATH Keywords

second Strang's inequalityweak coercivity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (4)

Optimal Lagrange and Hermite finite elements for Dirichlet problems in curved domains with straight‐edged triangles ⋮ Accuracy enhancement for non-isoparametric finite-element simulations in curved domains; application to fluid flow ⋮ Hermite analogs of the lowest order Raviart-Thomas mixed method for convection-diffusion equations ⋮ Efficiency of nonparametric finite elements for optimal-order enforcement of Dirichlet conditions on curvilinear boundaries

Cites Work

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• Error-bounds for finite element method
• The finite element method with Lagrangian multipliers
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• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• Finite Volume Methods for Hyperbolic Problems
• A Family of Methods of the DG-Morley Type for Polyharmonic Equations
• Variational methods for the solution of problems of equilibrium and vibrations
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