A Least-Squares/Fictitious Domain Method for Linear Elliptic Problems with Robin Boundary Conditions

DOI10.4208/cicp.071009.160310szbMath1364.65218OpenAlexW2116281440MaRDI QIDQ5345837

Qiao-lin He, Roland Glowinski

Publication date: 7 June 2017

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7c0b1196346bcd8d439a111ce50ae4be654ee8c5

Mathematics Subject Classification ID

Least squares and related methods for stochastic control systems (93E24) Finite element methods applied to problems in fluid mechanics (76M10) Fictitious domain methods for boundary value problems involving PDEs (65N85) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)

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FDM-PINN: Physics-informed neural network based on fictitious domain method ⋮ A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition ⋮ Numerical Solution of Linear Elliptic Problems with Robin Boundary Conditions by a Least-Squares/Fictitious Domain Method ⋮ A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions ⋮ The least-square/fictitious domain method based on Navier slip boundary condition for simulation of flow-particle interaction ⋮ Investigations on boundary temperature control analysis considering a moving body based on the adjoint variable and the fictitious domain finite element methods ⋮ The Smooth Extension Embedding Method

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