An Optimization-Based Approach for Elliptic Problems with Interfaces

DOI10.1137/16M1084547MaRDI QIDQ5372653

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

Publication date: 27 October 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

optimal controltransmissionPDE constrained optimizationmesh tyingnoncoincident interfacesvirtual Neumann control

Mathematics Subject Classification ID

Quadratic programming (90C20) Second-order elliptic equations (35J15) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical approximation and computational geometry (primarily algorithms) (65D99)

Related Items (6)

A general framework for substructuring‐based domain decomposition methods for models having nonlocal interactions ⋮ SOMAFOAM: an OpenFOAM based solver for continuum simulations of low-temperature plasmas ⋮ A coupling approach for linear elasticity problems with spatially non-coincident discretized interfaces ⋮ Explicit synchronous partitioned algorithms for interface problems based on Lagrange multipliers ⋮ An optimally convergent higher-order finite element coupling method for interface and domain decomposition problems ⋮ Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations

Uses Software

• FreeFem++

Cites Work

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• New development in freefem++
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• On the Finite Element Solution of the Pure Neumann Problem
• Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations
• Solution of elliptic partial differential equations by an optimization-based domain decomposition method

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