The finite element method with continuity constraints for stair-step grids in geoscience

DOI10.1007/s10596-014-9429-8zbMath1392.86009OpenAlexW1994424619MaRDI QIDQ723194

D. Kharzeev

Publication date: 30 July 2018

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-014-9429-8

zbMATH Keywords

Lagrange multipliersconstraintspenalty methodsimulations in geosciences

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) Computational methods for problems pertaining to geophysics (86-08)

Cites Work

• On Penalty methods for interelement constraints
• Multiplier and gradient methods
• Error-bounds for finite element method
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• A localized mixed-hybrid method for imposing interfacial constraints in the extended finite element method (XFEM)
• A bubble-stabilized finite element method for Dirichlet constraints on embedded interfaces
• Finite Element Methods for Elliptic Equations Using Nonconforming Elements
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method
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