A PDE-constrained optimization approach to the discontinuous Petrov-Galerkin method with a trust region inexact Newton-CG solver

DOI10.1016/j.cma.2014.04.018zbMath1425.65151OpenAlexW2142845515MaRDI QIDQ1667305

Tan Bui-Thanh, Omar Ghattas

Publication date: 28 August 2018

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2014.04.018

zbMATH Keywords

adjoint equationPDE-constrained optimizationforward equationdiscontinuous Petrov-Galerkin methodsincremental forward equationtrust region inexact Newton conjugated gradient method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods of relaxation type (49M20) Methods of reduced gradient type (90C52)

Related Items

A priori error analysis of high-order LL* (FOSLL*) finite element methods, The inverse problem for conducting defective lattices, A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations, A DPG method for steady viscous compressible flow, On perfectly matched layers for discontinuous Petrov-Galerkin methods, A DPG Framework for Strongly Monotone Operators, An Adaptive Discontinuous Petrov--Galerkin Method for the Grad--Shafranov Equation, A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement, Discrete least-squares finite element methods

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