Analysis and computation of a least-squares method for consistent mesh tying

DOI10.1016/j.cam.2007.04.049zbMath1154.65088OpenAlexW2156094300MaRDI QIDQ930692

Elsie Sterbin Gottlieb

Publication date: 1 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.049

zbMATH Keywords

Lagrange multipliersconvergenceerror estimatesfinite element methodnumerical experimentsfirst-order elliptic systemleast-squaressubdomainsmesh tying

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (6)

A locally conservative, discontinuous least-squares finite element method for the Stokes equations ⋮ Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps ⋮ A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces ⋮ An Optimization-Based Approach for Elliptic Problems with Interfaces ⋮ Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods ⋮ A stabilized Nitsche overlapping mesh method for the Stokes problem

Uses Software

• Triangle
• CMPGRD

Cites Work

• Triangular and quadrilateral surface mesh quality optimization using local parametrization
• Composite overlapping meshes for the solution of partial differential equations
• A novel Lagrange-multiplier based method for consistent mesh tying
• Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D
• Delaunay refinement algorithms for triangular mesh generation
• Mortar methods with curved interfaces
• A new dual mortar method for curved interfaces: 2D elasticity
• On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers
• Finite Element Methods for Navier-Stokes Equations
• Finite Element Methods of Least-Squares Type
• An Algorithm for Assembling Overlapping Grid Systems
• THE PARTITION OF UNITY METHOD
• Least-Squares Finite Element Approximations to Solutions of Interface Problems
• A three dimensional surface-to-surface projection algorithm for non-coincident domains
• Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics
• Methods for connecting dissimilar three-dimensional finite element meshes
• The Arlequin method as a flexible engineering design tool
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