A boundary parametric approximation to the linearized scalar potential magnetostatic field problem

DOI10.1016/0168-9274(85)90034-0zbMath0619.65113OpenAlexW1997081471MaRDI QIDQ1089771

James H. Bramble, Joseph E. Pasciak

Publication date: 1985

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(85)90034-0

zbMATH Keywords

error estimatesfinite element methodspherical harmonicseigenfunction expansionexponential convergencestability estimatesoptimal order convergenceexterior harmonic probleminfinite boundary conditionsmagnetostatic field problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Electro- and magnetostatics (78A30)

Related Items (6)

Mixed Jacobi-spherical harmonic spectral method for Navier-Stokes equations ⋮ Fully discrete Jacobi-spherical harmonic spectral method for Navier-Stokes equations ⋮ A finite element method for interface problems in domains with smooth boundaries and interfaces ⋮ Iterative techniques for time dependent Stokes problems ⋮ A domain decomposition technique for Stokes problems ⋮ A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems

Cites Work

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• The solution of exterior interface problems using a variational method with Lagrange multipliers
• A finite element method for exterior interface problems
• Iterative methods for the solution of a linear operator equation in Hilbert space. A survey
• Analyse numérique du champ magnetique d'un alternateur par éléments finis et sur-relaxation ponctuelle non linéaire
• Two mixed finite element methods for the simply supported plate problem
• A New Scalar Potential Formulation of the Magnetostatic Field Problem
• The Penalty Correction Method for Elliptic Boundary Value Problems
• A New Approximation Method for the Helmholtz Equation in an Exterior Domain
• Approximation of the Biharmonic Equation by a Mixed Finite Element Method
• On the use of the total scalar potential on the numerical solution of fields problems in electromagnetics
• Finite Element Formulation of the General Magnetostatic Problem in the Space of Solenoidal Vector Functions
• Error Estimates for Difference Methods in Forced Vibration Problems
• A THEOREM ON HOMEOMORPHISMS FOR ELLIPTIC SYSTEMS AND ITS APPLICATIONS

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