Three-dimensional finite element program for magnetic field problems

Guancial, E.; DasGupta, Sunando

doi:10.1109/tmag.1977.1059504

Cited by 11 publications

(7 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…During training, the magnetostatic energy is minimized by adjusting the weights of the network. This approach is similar to the Ritz method for computing the magnetic field: However, instead of finite element basis functions [19], we use dense neural networks [17] to approximate the unkowns. Again we can introduce the magnetization as additional unknown and approximate it with a set of neural networks.…”

Section: Introductionmentioning

confidence: 99%

Magnetostatics and micromagnetics with physics informed neural networks

Kovacs,

Exl,

Kornell

et al. 2021

Preprint

View full text Add to dashboard Cite

Partial differential equations and variational problems can be solved with physics informed neural networks (PINNs). The unknown field is approximated with neural networks. Minimizing the residuals of the static Maxwell equation at collocation points or the magnetostatic energy, the weights of the neural network are adjusted so that the neural network solution approximates the magnetic vector potential. This way, the magnetic flux density for a given magnetization distribution can be estimated. With the magnetization as an additional unknown, inverse magnetostatic problems can be solved. Augmenting the magnetostatic energy with additional energy terms, micromagnetic problems can be solved. We demonstrate the use of physics informed neural networks for solving magnetostatic problems, computing the magnetization for inverse problems, and calculating the demagnetization curves for two-dimensional geometries.

show abstract

Section: Introductionmentioning

confidence: 99%

Magnetostatics and micromagnetics with physics informed neural networks

Kovacs,

Exl,

Kornell

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In the fourth Chapter, the Rayleigh-Ritz method is applied for the On the other hand the results of papers [30] , [31] , [ 65]…”

Section: Discussionmentioning

confidence: 99%

“…"Αν καί οι περιπτώσεις έφαρμονής τών μεθόδων του λονισμού τών μετα βολών στά προβλήματα του ηλεκτρομαγνητικού πεδίου ήταν μέχρι τελευταία πολύ περιορισμένες καί αναφέρονταν κυρίως σέ προβλήματα μεταδόσεως κύμα τος μέσω κυματοδηγών, στή μελέτη της τροχιάς φορτισμένων σωματιδίων καί σέ προβλήματα συντονιστών [58], [851, εντούτοις, ή τελευταία δεκαετία έ χει ν" επιδείξει ενα σημαντικό αριθμό εργασιών πού χρησιμοποιούν τις πιό -2πάνω μεθόδους,Σάν πιό αντιπροσωπευτικές μπορεί νά αναφερθούν οL εργασίες [6], [19] , [30] , [31] , [64], [66] , [73] , [74] , [75] , [92] .…”

Section: σύντομη αναδρομήunclassified

“…Στις εργασίες [30] , [31] , υπολογίζεται ή χωρητικότητα, ή αυτεπαγωγή καί τά δινορρεύματα μέ την εύρεση πάνω καί κάτω φραγμάτων. 'Επίσης καθο ρίζεται ή αντιστοιχία των σχετικών προ3λημάτων του ηλεκτρομαγνητικού πε δίου προς άλλα της μηχανικής.…”

Section: σύντομη αναδρομήunclassified

“…Τά αποτελέσματα τών εργασιών [30], [31] , [65] , βελτιώθηκαν ακόμα περισσότερο επιτυγχάνοντας μεναλοτερο κάτω φράγμα γιά τή χωρητικότητα καί μικρότερο πάνω φράνμα γιά τήν αντίσταση.…”

Section: στό τέταρτο κεφάλαιοunclassified

See 2 more Smart Citations

Εφαρμογη Αμεσων Μεθοδων Της Συναρτησιακης Αναλυσεως Στον Υπολογισμο Αντιστασεων Αυτεπαγωγων Και Χωρητικοτητων

Τσιμπούκης¹,

Tsiboukis²

View full text Add to dashboard Cite

show abstract

A Survey of Electromagnetic Methods of Nondestructive Testing

Lord

1980

Mechanics of Nondestructive Testing

View full text Add to dashboard Cite

Electromagnetic methods of nondestructive testing (NDT) can be classified according to their mode of specimen excitation:Direct current excitation results in active leakage fields around defects in ferromagnetic materials.Residual leakage fields around defects in ferromagnetic materials occur after removal of the dc excitation current.Alternating current excitation of conducting materials results in induced eddy currents which are sensitive to a wide variety of specimen properties.All of these techniques, when used in conjunction with an appropriate test probe, can be applied to the problems of testing metals nondestructively. Each technique has its own particular field of application and many are used on a daily basis in the energy, transportation and aerospace industries. The classification covers not only a broad frequency spectrum (from OHz into the HHz range) but also a large number of individual testing techniques associated with each sub group. As many of the electromagnetic NDT phenomena have been known and studied since the end of the last century, it should come as no surprise to the reader to find that the literature associated with this area is both rich and diverse with regard to applications and theoretical

show abstract

Three-dimensional finite element program for magnetic field problems

Cited by 11 publications

References 9 publications

Magnetostatics and micromagnetics with physics informed neural networks

Magnetostatics and micromagnetics with physics informed neural networks

Εφαρμογη Αμεσων Μεθοδων Της Συναρτησιακης Αναλυσεως Στον Υπολογισμο Αντιστασεων Αυτεπαγωγων Και Χωρητικοτητων

A Survey of Electromagnetic Methods of Nondestructive Testing

Contact Info

Product

Resources

About