Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 2009, Volume 198, Issue 47, pp. 3765 - 3781

In this paper a Geometric – formulation to solve eddy-current problems on a tetrahedral mesh is presented. When non-simply-connected conducting regions are...

Scalar potential in multiply-connected regions | Computational homology | Homology generators | Eddy-currents | Belted tree | Automatic cut generation

Scalar potential in multiply-connected regions | Computational homology | Homology generators | Eddy-currents | Belted tree | Automatic cut generation

Journal Article

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, ISSN 0045-7825, 10/2009, Volume 198, Issue 47-48, pp. 3765 - 3781

In this paper a Geometric T-Omega formulation to solve eddy-current problems oil a tetrahedral mesh is presented. When non-simply-connected conducting regions...

Scalar potential in multiply-connected regions | Eddy-currents | ALGORITHM | Computational homology | Automatic cut generation | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CONSTRUCTION | REGIONS | Homology generators | MAGNETIC SCALAR POTENTIALS | Belted tree

Scalar potential in multiply-connected regions | Eddy-currents | ALGORITHM | Computational homology | Automatic cut generation | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | CONSTRUCTION | REGIONS | Homology generators | MAGNETIC SCALAR POTENTIALS | Belted tree

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2010, Volume 48, Issue 4, pp. 1601 - 1624

Two algorithms based upon a tree-cotree decomposition, called in this paper spanning tree technique (STT) and generalized spanning tree technique (GSTT), have...

Integers | Linear systems | Algorithms | Fasteners | Cubes | Scalars | Computational electromagnetics | Counterexamples | Magnetic fields | Algebraic topology | Tree-cotree decomposition | Cohomology theory | Homology and cohomology generators | Homology theory | Belted tree | Computational topology | Homology-cohomology duality | Scalar potential in multiply connected regions | cohomology theory | algebraic topology | FIELDS | MATHEMATICS, APPLIED | MESHES | SPACES | ALGORITHM | homology theory | homology-cohomology duality | homology and cohomology generators | CUTS | MULTIPLY CONNECTED REGIONS | belted tree | EDGE ELEMENTS | FORMULATIONS | computational topology | tree-cotree decomposition | COMPUTATION | MAGNETIC SCALAR POTENTIALS | scalar potential in multiply connected regions | Studies | Theoretical mathematics | Mathematical analysis | Applied mathematics | Electromagnetics

Integers | Linear systems | Algorithms | Fasteners | Cubes | Scalars | Computational electromagnetics | Counterexamples | Magnetic fields | Algebraic topology | Tree-cotree decomposition | Cohomology theory | Homology and cohomology generators | Homology theory | Belted tree | Computational topology | Homology-cohomology duality | Scalar potential in multiply connected regions | cohomology theory | algebraic topology | FIELDS | MATHEMATICS, APPLIED | MESHES | SPACES | ALGORITHM | homology theory | homology-cohomology duality | homology and cohomology generators | CUTS | MULTIPLY CONNECTED REGIONS | belted tree | EDGE ELEMENTS | FORMULATIONS | computational topology | tree-cotree decomposition | COMPUTATION | MAGNETIC SCALAR POTENTIALS | scalar potential in multiply connected regions | Studies | Theoretical mathematics | Mathematical analysis | Applied mathematics | Electromagnetics

Journal Article

IEEE TRANSACTIONS ON MAGNETICS, ISSN 0018-9464, 03/2002, Volume 38, Issue 2, pp. 557 - 560

When using t-Omega formulation for solving eddy-current problems in multiply connected regions, cuts have to be introduced to avoid multivalued problems of...

cut generation | multiply connected regions | PHYSICS, APPLIED | finite-element modeling | T-Omega formulation | ENGINEERING, ELECTRICAL & ELECTRONIC | Formulations | Conduction | Cutting | Algorithms | Conductors | Scalars | Eddy current testing

cut generation | multiply connected regions | PHYSICS, APPLIED | finite-element modeling | T-Omega formulation | ENGINEERING, ELECTRICAL & ELECTRONIC | Formulations | Conduction | Cutting | Algorithms | Conductors | Scalars | Eddy current testing

Journal Article

Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 12/2010, Volume 199, Issue 49-52, pp. 3386 - 3401

This work considers the accurate and efficient finite element simulation of three-dimensional eddy current problems. We review the application of H and A based...

Multiply connected domains | Efficient preconditioning | Hp-Finite elements | Eddy current problems | hp-Finite elements | MAGNETOSTATICS | ORDER EDGE ELEMENTS | SCALAR POTENTIALS | ARBITRARY ORDER | 3 DIMENSIONS | MAXWELLS EQUATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | REGIONS | INFINITE ELEMENT | COMPUTATION | MAGNETIC-FIELD PROBLEMS | Splitting | Computer simulation | Discretization | Mathematical analysis | Series (mathematics) | Mathematical models | Eddy currents | Preconditioning

Multiply connected domains | Efficient preconditioning | Hp-Finite elements | Eddy current problems | hp-Finite elements | MAGNETOSTATICS | ORDER EDGE ELEMENTS | SCALAR POTENTIALS | ARBITRARY ORDER | 3 DIMENSIONS | MAXWELLS EQUATIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | REGIONS | INFINITE ELEMENT | COMPUTATION | MAGNETIC-FIELD PROBLEMS | Splitting | Computer simulation | Discretization | Mathematical analysis | Series (mathematics) | Mathematical models | Eddy currents | Preconditioning

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2004, Volume 40, Issue 2, pp. 707 - 709

This paper presents a method for checking the connectivity of a set of finite elements and for dividing the set into simply connected subsets. The algorithm is...

Geometry | Algorithm design and analysis | Circuit topology | Analytical models | Solid modeling | Circuit simulation | Coupling circuits | Electromagnetic analysis | Finite element methods | Electromagnetic fields | Simply connected | Automatic cuts | Multiply connected | Scalar potential | Unite element | scalar potential | PHYSICS, APPLIED | finite element | simply connected | automatic cuts | multiply connected | ENGINEERING, ELECTRICAL & ELECTRONIC | Electromagnetism | Research

Geometry | Algorithm design and analysis | Circuit topology | Analytical models | Solid modeling | Circuit simulation | Coupling circuits | Electromagnetic analysis | Finite element methods | Electromagnetic fields | Simply connected | Automatic cuts | Multiply connected | Scalar potential | Unite element | scalar potential | PHYSICS, APPLIED | finite element | simply connected | automatic cuts | multiply connected | ENGINEERING, ELECTRICAL & ELECTRONIC | Electromagnetism | Research

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2018, Volume 54, Issue 3, pp. 1 - 4

Solving eddy current problems formulated by using a magnetic scalar potential in the insulator requires a topological pre-processing to find the so-called...

Software algorithms | magnetic scalar potential | Magnetic domains | first de Rham cohomology group | Conductors | Generators | Cohomology | Joining processes | Eddy currents | Standards | cuts | eddy currents | PHYSICS, APPLIED | EDDY-CURRENT PROBLEMS | FORMULATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MULTIPLY CONNECTED REGIONS | CONSTRUCTION | BOUNDARY | MAGNETIC SCALAR POTENTIALS | Computational electromagnetics | Algorithms

Software algorithms | magnetic scalar potential | Magnetic domains | first de Rham cohomology group | Conductors | Generators | Cohomology | Joining processes | Eddy currents | Standards | cuts | eddy currents | PHYSICS, APPLIED | EDDY-CURRENT PROBLEMS | FORMULATION | ENGINEERING, ELECTRICAL & ELECTRONIC | MULTIPLY CONNECTED REGIONS | CONSTRUCTION | BOUNDARY | MAGNETIC SCALAR POTENTIALS | Computational electromagnetics | Algorithms

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 01/2014, Volume 50, Issue 1, pp. 1 - 6

In this paper it is shown how to analyze stationary or quasistationary magnetic fields due to arbitrary distributions of electric current in terms of...

Electric potential | magnetic field modeling | Laplace equations | Integral equations | magnetic scalar potential | Boundary conditions | Vectors | Magnetic fields | Current | Electromagnetics | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | CUTS | ENGINEERING, ELECTRICAL & ELECTRONIC

Electric potential | magnetic field modeling | Laplace equations | Integral equations | magnetic scalar potential | Boundary conditions | Vectors | Magnetic fields | Current | Electromagnetics | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | CUTS | ENGINEERING, ELECTRICAL & ELECTRONIC

Journal Article

International Journal for Numerical Methods in Engineering, ISSN 0029-5981, 1998, Volume 41, Issue 5, pp. 935 - 954

In this paper various formulations for the eddy current problem are presented. The formulations are based on solving directly for the magnetic field h, and...

Helmholtz decompositions | Maxwell's equations | Eddy currents | Spanning tree | Gauge | gauge | MAGNETOSTATICS | ELEMENTS | INTEGRAL FORMULATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | spanning tree | SCALAR POTENTIALS | eddy currents

Helmholtz decompositions | Maxwell's equations | Eddy currents | Spanning tree | Gauge | gauge | MAGNETOSTATICS | ELEMENTS | INTEGRAL FORMULATION | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | spanning tree | SCALAR POTENTIALS | eddy currents

Journal Article

SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2013, Volume 51, Issue 4, pp. 2380 - 2402

We devise an efficient algorithm for the finite element approximation of harmonic fields and the numerical solution of three-dimensional magnetostatic...

Mathematical problems | Linear systems | Degrees of freedom | Approximation | Scalars | Magnetism | Magnetic fields | Curl | Magnetostatic fields | Vertices | Source fields | First de Rham cohomology group | Harmonic fields | Edge finite elements | Magnetostatics | Loop fields | MATHEMATICS, APPLIED | loop fields | HODGE THEORY | ALGORITHM | first de Rham cohomology group | source fields | EDDY-CURRENT PROBLEMS | VECTOR POTENTIALS | FORMULATION | CUTS | MULTIPLY CONNECTED REGIONS | EDGE ELEMENTS | edge finite elements | magnetostatics | MAGNETIC SCALAR POTENTIALS | DOMAINS | harmonic fields | Finite element method | Cutting | Construction | Algorithms | Mathematical analysis | Mathematical models | Three dimensional

Mathematical problems | Linear systems | Degrees of freedom | Approximation | Scalars | Magnetism | Magnetic fields | Curl | Magnetostatic fields | Vertices | Source fields | First de Rham cohomology group | Harmonic fields | Edge finite elements | Magnetostatics | Loop fields | MATHEMATICS, APPLIED | loop fields | HODGE THEORY | ALGORITHM | first de Rham cohomology group | source fields | EDDY-CURRENT PROBLEMS | VECTOR POTENTIALS | FORMULATION | CUTS | MULTIPLY CONNECTED REGIONS | EDGE ELEMENTS | edge finite elements | magnetostatics | MAGNETIC SCALAR POTENTIALS | DOMAINS | harmonic fields | Finite element method | Cutting | Construction | Algorithms | Mathematical analysis | Mathematical models | Three dimensional

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2015, Volume 51, Issue 3, pp. 1 - 4

This paper presents non-conforming sliding interfaces for motion in 3-D finite element simulations. Sliding interfaces are favorable, especially for field...

Geometry | Electric potential | Solid modeling | Magnetic domains | Rotors | Iron | Eddy currents | eddy currents | Cohomology | sliding interfaces | electrical machines | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | COMPUTATION | FORMULATION | HOMOLOGY | CUTS | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Usage | Research | Eddy currents (Electric) | Electric motors | Formulations | Lagrange multipliers | Mathematical analysis | Stators | Sliding | Scalars | Three dimensional

Geometry | Electric potential | Solid modeling | Magnetic domains | Rotors | Iron | Eddy currents | eddy currents | Cohomology | sliding interfaces | electrical machines | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | COMPUTATION | FORMULATION | HOMOLOGY | CUTS | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Usage | Research | Eddy currents (Electric) | Electric motors | Formulations | Lagrange multipliers | Mathematical analysis | Stators | Sliding | Scalars | Three dimensional

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 03/2015, Volume 51, Issue 3, pp. 1 - 4

We present a technique to efficiently compute optimal cuts required to solve 3-D eddy current problems by magnetic scalar potential formulations. By optimal...

Magnetostatics | Conductors | Minimization | Generators | Complexity theory | Eddy currents | Standards | eddy currents | maximum circulation network flow problem | thin and thick cuts | Terms-(Co)homology | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | MESHES | (Co)homology | EDDY-CURRENT PROBLEMS | COHOMOLOGY COMPUTATION | FORMULATION | MAGNETIC SCALAR POTENTIALS | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Program generators | Code generators | Graph theory | Research | Eddy currents (Electric) | Conduction | Scalars | Boundaries | Circulation | Combinatorial analysis | Optimization | Three dimensional

Magnetostatics | Conductors | Minimization | Generators | Complexity theory | Eddy currents | Standards | eddy currents | maximum circulation network flow problem | thin and thick cuts | Terms-(Co)homology | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | MESHES | (Co)homology | EDDY-CURRENT PROBLEMS | COHOMOLOGY COMPUTATION | FORMULATION | MAGNETIC SCALAR POTENTIALS | ENGINEERING, ELECTRICAL & ELECTRONIC | Measurement | Usage | Program generators | Code generators | Graph theory | Research | Eddy currents (Electric) | Conduction | Scalars | Boundaries | Circulation | Combinatorial analysis | Optimization | Three dimensional

Journal Article

Communications in Computational Physics, ISSN 1815-2406, 2013, Volume 14, Issue 1, pp. 48 - 76

Electromagnetic modeling provides an interesting context to present a link between physical phenomena and homology and cohomology theories. Over the past...

Cuts | Computational electromagnetics | (Co)homology | Algebraic topology | HOMOLOGY ALGORITHM | HARMONIC MAXWELL EQUATIONS | BOUNDARY-CONDITIONS | SCALAR POTENTIALS | HODGE THEORY | EXTERIOR CALCULUS | EDDY-CURRENT PROBLEMS | PHYSICS, MATHEMATICAL | (co)homology | computational electromagnetics | MULTIPLY CONNECTED REGIONS | CURRENT FORMULATION | FINITE-ELEMENT-METHOD | cuts

Cuts | Computational electromagnetics | (Co)homology | Algebraic topology | HOMOLOGY ALGORITHM | HARMONIC MAXWELL EQUATIONS | BOUNDARY-CONDITIONS | SCALAR POTENTIALS | HODGE THEORY | EXTERIOR CALCULUS | EDDY-CURRENT PROBLEMS | PHYSICS, MATHEMATICAL | (co)homology | computational electromagnetics | MULTIPLY CONNECTED REGIONS | CURRENT FORMULATION | FINITE-ELEMENT-METHOD | cuts

Journal Article

IEEE Magnetics Letters, ISSN 1949-307X, 2013, Volume 4, pp. 0500104 - 0500104

A single-valued magnetic scalar potential is introduced for arbitrary distributions of electric current in free space. It is defined as a Laplacian potential...

Electric potential | magnetic field modeling | Magnetostatics | Magnetic separation | Integral equations | magnetic scalar potential | Current distribution | Current | Electromagnetics | Magnetic levitation | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED

Electric potential | magnetic field modeling | Magnetostatics | Magnetic separation | Integral equations | magnetic scalar potential | Current distribution | Current | Electromagnetics | Magnetic levitation | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED

Journal Article

Journal of Materials Processing Tech, ISSN 0924-0136, 2005, Volume 161, Issue 1, pp. 315 - 319

Two procedures in the boundary element method (BEM) for multiply connected domains are reported. The first procedure introduces cuts such that the multiply...

Scalar and vector magnetic potential | Edge elements | Boundary element method | Tree–cotree techniques | Tree-cotree techniques | boundary element method | scalar and vector magnetic potential | MATERIALS SCIENCE, MULTIDISCIPLINARY | edge elements | tree-cotree techniques | ENGINEERING, MANUFACTURING | ENGINEERING, INDUSTRIAL

Scalar and vector magnetic potential | Edge elements | Boundary element method | Tree–cotree techniques | Tree-cotree techniques | boundary element method | scalar and vector magnetic potential | MATERIALS SCIENCE, MULTIDISCIPLINARY | edge elements | tree-cotree techniques | ENGINEERING, MANUFACTURING | ENGINEERING, INDUSTRIAL

Journal Article

CMES - Computer Modeling in Engineering and Sciences, ISSN 1526-1492, 2010, Volume 60, Issue 3, pp. 247 - 278

The systematic potential design is of high importance in computational electromagnetics. For example, it is well known that when the efficient eddy-current...

Acyclic sub-complex technique | Eddy-currents | Thick cuts | Cell method (CM) | Finite element method (FEM) | Computational cohomology | Finite integration technique (FIT) | Potential design | Reduction methods | Cell Method (CM) | HOMOLOGY ALGORITHM | MESHES | acyclic sub-complex technique | eddy-currents | CUTS | reduction methods | MULTIPLY CONNECTED REGIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | thick cuts | FORMULATIONS | potential design | Finite Integration Technique (FIT) | Finite Element Method (FEM) | computational cohomology | MAGNETIC SCALAR POTENTIALS

Acyclic sub-complex technique | Eddy-currents | Thick cuts | Cell method (CM) | Finite element method (FEM) | Computational cohomology | Finite integration technique (FIT) | Potential design | Reduction methods | Cell Method (CM) | HOMOLOGY ALGORITHM | MESHES | acyclic sub-complex technique | eddy-currents | CUTS | reduction methods | MULTIPLY CONNECTED REGIONS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | thick cuts | FORMULATIONS | potential design | Finite Integration Technique (FIT) | Finite Element Method (FEM) | computational cohomology | MAGNETIC SCALAR POTENTIALS

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 05/2005, Volume 41, Issue 5, pp. 1668 - 1671

The approach of magnetic scalar potential T/sub 0//spl phi/-/spl phi/ is widely popular for solving magnetic problems coupled with electric circuits. However,...

Coils | multiply connected regions | Conductors | Iron | Automatic cut | Finite element methods | Inductors | Leg | Coupling circuits | Robustness | total magnetic scalar potential | Magnetic circuits | finite-element (FE) method | Total magnetic scalar potential | Finite-element (FE) method | Multiply connected regions | PHYSICS, APPLIED | automatic cut | FINITE-ELEMENT METHOD | ENGINEERING, ELECTRICAL & ELECTRONIC | Ferromagnetism | Electromagnetism | Algorithms | Research | Electric potential | Circuits | Mathematical analysis | Preserves | Tools | Scalars | Engineering Sciences | Electric power

Coils | multiply connected regions | Conductors | Iron | Automatic cut | Finite element methods | Inductors | Leg | Coupling circuits | Robustness | total magnetic scalar potential | Magnetic circuits | finite-element (FE) method | Total magnetic scalar potential | Finite-element (FE) method | Multiply connected regions | PHYSICS, APPLIED | automatic cut | FINITE-ELEMENT METHOD | ENGINEERING, ELECTRICAL & ELECTRONIC | Ferromagnetism | Electromagnetism | Algorithms | Research | Electric potential | Circuits | Mathematical analysis | Preserves | Tools | Scalars | Engineering Sciences | Electric power

Journal Article

Expositiones Mathematicae, ISSN 0723-0869, 2012, Volume 30, Issue 4, pp. 319 - 375

The use of cuts along surfaces for the study of domains in Euclidean 3-space widely occurs in the theoretical and applied literature about , and . This paper...

Cut number | Method of cutting surfaces | Hodge decomposition | Homology boundary link | Corank | HOMOLOGY BOUNDARY LINKS | MAGNETOSTATICS | INVARIANTS | EDDY-CURRENT PROBLEM | SCALAR POTENTIALS | CLASSIFICATION | HOMOTOPY | MATHEMATICS | MULTIPLY CONNECTED REGIONS | 3-SPACE | SPATIAL GRAPHS

Cut number | Method of cutting surfaces | Hodge decomposition | Homology boundary link | Corank | HOMOLOGY BOUNDARY LINKS | MAGNETOSTATICS | INVARIANTS | EDDY-CURRENT PROBLEM | SCALAR POTENTIALS | CLASSIFICATION | HOMOTOPY | MATHEMATICS | MULTIPLY CONNECTED REGIONS | 3-SPACE | SPATIAL GRAPHS

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 06/2008, Volume 44, Issue 6, pp. 714 - 717

The paper introduces a network description of conducting regions in electrical machines. Resistance models are considered, where loop equations are equivalent...

finite-element methods (FEMs) | Iron | Magnetic analysis | Finite element methods | Equations | Electric resistance | Computer science | electromagnetic fields | Coupling circuits | Magnetic domains | Voltage | electrical engineering education | eddy currents | Magnetic circuits | Finite-element methods (FEMs) | Electromagnetic fields | Eddy currents | Electrical engineering education | magnetic circuits | PHYSICS, APPLIED | coupling circuits | EQUATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Usage | Electrical equipment and supplies | Electrical machinery | Iterative methods (Mathematics) | Electric properties | Conduction | Electric potential | Networks | Mathematical analysis | Scalars | Mathematical models | Representations | Convergence

finite-element methods (FEMs) | Iron | Magnetic analysis | Finite element methods | Equations | Electric resistance | Computer science | electromagnetic fields | Coupling circuits | Magnetic domains | Voltage | electrical engineering education | eddy currents | Magnetic circuits | Finite-element methods (FEMs) | Electromagnetic fields | Eddy currents | Electrical engineering education | magnetic circuits | PHYSICS, APPLIED | coupling circuits | EQUATION | ENGINEERING, ELECTRICAL & ELECTRONIC | Finite element method | Usage | Electrical equipment and supplies | Electrical machinery | Iterative methods (Mathematics) | Electric properties | Conduction | Electric potential | Networks | Mathematical analysis | Scalars | Mathematical models | Representations | Convergence

Journal Article

IEEE Transactions on Magnetics, ISSN 0018-9464, 05/2003, Volume 39, Issue 3, pp. 1167 - 1170

Magnetic scalar potential formulations without cuts require the definition of a set of basis functions for the cohomology structure of the magnetic field...

Geometry | Circuit topology | Software design | Two dimensional displays | Conductors | Boundary conditions | Computational efficiency | Magnetic fields | Eddy currents | Electromagnetic coupling | Algorithms | Circuits | Differential geometry | Spanning tree | Software design/development | Duality | Topology | algorithms | FIELDS | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | topology | spanning tree | differential geometry | electromagnetic coupling | duality | circuits | software design/development | ENGINEERING, ELECTRICAL & ELECTRONIC | Formulations | Construction | Basis functions | Function space | Dynamics | Scalars

Geometry | Circuit topology | Software design | Two dimensional displays | Conductors | Boundary conditions | Computational efficiency | Magnetic fields | Eddy currents | Electromagnetic coupling | Algorithms | Circuits | Differential geometry | Spanning tree | Software design/development | Duality | Topology | algorithms | FIELDS | MULTIPLY CONNECTED REGIONS | PHYSICS, APPLIED | topology | spanning tree | differential geometry | electromagnetic coupling | duality | circuits | software design/development | ENGINEERING, ELECTRICAL & ELECTRONIC | Formulations | Construction | Basis functions | Function space | Dynamics | Scalars

Journal Article

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