Stabilized Lagrange multiplier method for elliptic and parabolic interface problems

DOI10.1016/j.apnum.2017.05.011zbMath1370.65055OpenAlexW2620739327MaRDI QIDQ2012639

Ajit Patel, Sanjib Kumar Acharya, Amiya K. Pani

Publication date: 1 August 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2017.05.011

zbMATH Keywords

Lagrange multiplierstabilizationnumerical experimentsfinite elementinterfaceerror estimateelliptic problemparabolic initial-boundary value problemfully discrete schemesemi-discrete

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (6)

Approximation of quasilinear hyperbolic problems with discontinuous coefficients: an optimal error estimate ⋮ A condensed generalized finite element method (CGFEM) for interface problems ⋮ Improved enrichments and numerical integrations in SGFEM for interface problems ⋮ Finite element methods: research in India over the last decade ⋮ A priori error analysis of the stabilized Lagrange multiplier method for elliptic problems with natural norms ⋮ Stable generalized finite element method (SGFEM) for parabolic interface problems

Cites Work

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• A symmetric and consistent immersed finite element method for interface problems
• Galerkin finite element methods for parabolic problems
• The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
• Finite element methods and their convergence for elliptic and parabolic interface problems
• A Lagrange multiplier method for the finite element solution of elliptic interface problems using non-matching meshes
• Mortar finite elements for interface problems
• The mortar finite element method with Lagrange multipliers
• Lagrange multiplier method with penalty for elliptic and parabolic interface problems
• The finite element method for elliptic equations with discontinuous coefficients
• 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)
• The finite element method with Lagrangian multipliers
• On the accuracy of finite element approximations to a class of interface problems
• The convergence of the bilinear and linear immersed finite element solutions to interface problems
• Partially penalized immersed finite element methods for parabolic interface problems
• Mortar element methods for parabolic problems
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Mixed and Hybrid Finite Element Methods
• The Finite Element Method with Penalty
• Primal Hybrid Finite Element Methods for 2nd Order Elliptic Equations
• A finite element method for domain decomposition with non-matching grids
• A Multigrid Algorithm for the Mortar Finite Element Method
• An immersed finite element space and its approximation capability
• Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
• Optimal Error Estimates for Linear Parabolic Problems with Discontinuous Coefficients

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