Verification of high-order mixed FEM solution of transient Magnetic diffusion problems

Keywords

Transient (computer programming), Finite element method, Diffusion, Order (exchange), Mechanics

References

• Iterative and self-adaptive finite-elements in electromagnetic modelingMagdalena Salazar‐Palma — 1998
• Discrete Differential Forms: A Novel Methodology for Robust Computational ElectromagneticsPaul Castillo, J. M. Koning, Robert N. Rieben — 2003
• Numerical Modelling of Eddy CurrentsAndrzej Krawczyk, J.A. Tegopoulos — 1993
• Geometric Integration TheoryHassler Whitney — 1957
• The Finite Element Method in ElectromagneticsJian‐Ming Jin — 1993
• FEMSTER: an object oriented class library of discrete differential formsPaul Castillo, Robert N. Rieben, D. White — 2003
• Static and Dynamic ElectricityG. Temple — 1940
• High-order symplectic integration methods for finite element solutions to time dependent Maxwell equationsRobert N. Rieben, D. White, Garry Rodrigue — 2004
• New technique for solving three-dimensional multiply connected eddy-current problemsZhuoxiang Ren, Adel Razek — 1990
• A Justification of Eddy Currents Model for the Maxwell EquationsAnnalisa Buffa, Habib Ammari, Jean-Claude Nédélec — 2000
• Computational Science Demands a New ParadigmD.E. Post, Lawrence G. Votta — 2005
• FEMSTER: An object-oriented class library of high-order discrete differential formsPaul Castillo, Robert N. Rieben, D. White — 2005
• Dispersive properties of high–order Nédélec/edge element approximation of the time–harmonic Maxwell equationsMark Ainsworth — 2004
• A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured gridsRobert N. Rieben, Garry Rodrigue, D. White — 2005
• Mixed finite elements in ℝ3Jean-Claude Nédélec — 1980
• A new family of mixed finite elements in ℝ3J. C. N�d�lec — 1986
• The "TRIFOU" Code: Solving the 3-D eddy-currents problem by using H as state variableA. Bossavit, J.C. Vèrité — 1983
• On the use of the magnetic vector potential in the finite-element analysis of three-dimensional eddy currentsOszkár Bíró, Kurt Preis — 1989
• Performance of different vector potential formulations in solving multiply connected 3-D eddy current problemsOszkár Bíró, Kurt Preis, Werner Renhart — 1990
• A new hybrid model using electric field formulation for 3-D eddy current problemsZhuoxiang Ren, Frédéric Bouillault, Adel Razek — 1990

Cited by

• Prototype Mixed Finite Element Hydrodynamics Capability in ARESRobert Rieben — 2008
• A Parallel Computer Implementation of Fast Low-rank QR Approximation of the Biot-Savart LawD. White, B.J. Fasenfest, Mark Stowell — 2005
• Arbitrary Lagrangian Eulerian Electromechanics in 3DRobert N. Rieben, B K Wallin, Daniel A. White — 2006
• Verification tests in solid mechanicsKrishna Kamojjala, Rebecca M. Brannon, Alireza Sadeghirad — 2013
• An efficient vector finite element method for nonlinear electromagnetic modelingAaron Fisher, D. White, Garry Rodrigue — 2007
• An arbitrary Lagrangian-Eulerian discretization of MHD on 3D unstructured gridsRobert N. Rieben, D. White, B K Wallin — 2006
• Data relocalization to mitigate slow convergence caused by under-resolved stress fields in computational damage mechanicsKrishna Kamojjala, Rebecca M. Brannon — 2014
• Performance of Low-Rank QR Approximation of the Finite Element Biot–Savart LawD. White, Benjamin J. Fasenfest — 2006
• Electro-thermal-mechanical validation experimentsL.K. Tully, Jerome Solberg, D. White — 2009
• A time domain vector finite element method for the full wave simulation of nonlinear photonic devicesAaron Fisher — 2007
• 3.13 – High-Speed Forming of Magnesium Alloy SheetsI. Ulacia — 2014
• An Arbitrary Lagrangian-Eulerian Discretization of MHD on 3 D Unstructured GridsR. Rieben, D. White, B. Wallin — 2008
• Arbitrary Lagrangian Eulerian Electromechanics in 3R. Rieben, B. Wallin, D. White — 2006

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