A Virtual Control Coupling Approach for Problems with Non-coincident Discrete Interfaces

DOI10.1007/978-3-319-73441-5_15zbMath1479.49075OpenAlexW2781578943MaRDI QIDQ3297429

Kara J. Peterson, Pavel B. Bochev, Paul Allen Kuberry

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1457975

zbMATH Keywords

optimal controltransmissionPDE constrained optimizationmesh tyingnon-coincident interfacesvirtual Neumann controls

Mathematics Subject Classification ID

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) PDE constrained optimization (numerical aspects) (49M41)

Related Items (2)

A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces ⋮ Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
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• Review of coupling methods for non-matching meshes
• Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
• An optimization based domain decomposition method for partial differential equations
• Consistent mesh tying methods for topologically distinct discretized surfaces in non-linear solid mechanics
• An Optimization-Based Domain Decomposition Method for the Navier--Stokes Equations
• New development in freefem++
• Methods for connecting dissimilar three-dimensional finite element meshes

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