Transient solutions to nonlinear acousto-magneto-mechanical coupling for axisymmetric MRI scanner design

DOI10.1002/nme.5802zbMath1548.78029WikidataQ130069381 ScholiaQ130069381MaRDI QIDQ6554999

Paul D. Ledger, Antonio J. Gil, Scott Bagwell, Mike Mallett

Publication date: 13 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

Newton methodslinearisationmultifield systemsMRI scanneracousto-magneto-mechanical couplingtime integration implicit

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Cites Work

• Unnamed Item
• Unnamed Item
• A unified approach for a posteriori high-order curved mesh generation using solid mechanics
• Finite element analysis of partly wrinkled reinforced prestressed membranes
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
• Solution of an industrially relevant coupled magneto-mechanical problem set on an axisymmetric domain
• Theory of small on large: Potential utility in computations of fluid-solid interactions in arteries
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Improving the performance of perfectly matched layers by means of hp‐adaptivity
• EVALUATION OF THE FILTERED LEAPFROG-TRAPEZOIDAL TIME INTEGRATION METHOD
• Higher order explicit time integration schemes for Maxwell's equations
• Finite Element Methods for Maxwell's Equations
• High order Nédélec elements with local complete sequence properties
• Nonlinear Solid Mechanics for Finite Element Analysis: Statics
• A linearised \(hp\)-finite element framework for acousto-magneto-mechanical coupling in axisymmetric MRI scanners

Related Items (2)

A combined reduced order-full order methodology for the solution of 3D magneto-mechanical problems with application to magnetic resonance imaging scanners ⋮ An accurate and efficient three-dimensional high-order finite element methodology for the simulation of magneto-mechanical coupling in MRI scanners

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