Use of Ritz and Bubnow-Galerkin methods for calculation of inductance and impedance of conductors

Purczyński, Jan; Rolicz, P.; Sikora, R.

doi:10.1007/bf01573788

Cited by 39 publications

(4 citation statements)

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“…That means that the Ritz method of direct functional minimization is exceptionally useful for capacity calculation. Taking inequality (6) and relation (9) into consideration, we obtain:…”

Section: Idea Of the Methodsmentioning

confidence: 99%

Capacity estimation by means of Ritz and Trefftz's methods

Purczyński¹

1977

Archiv f. Elektrotechnik

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Summary : The paper contains the estimation of capacity as a result of the Ritz and Trefftz's methods. The method presented here takes advantages of the fact that the actual value of capacity is confined within a range limited by approximate values determined with the help of Ritz and Trefftz's methods.13bet eine Anwendung der Methoden yon Ritz und Trefftz zur Kapazitiitsabschiitzung ~3bersicht: In der vorliegenden Arbeit wird eine Kazapitgtsabsch~tzung unter Anwendung der Methoden yon Ritz und Trefftz vorgeschlagen. Bei dieser Methode wird der Umstand genutzt, dab sich der wahre Kapazitgtswert in dem durch angengherte Werte begrenzten Intervall befindet, das mittels der Methoden yon Ritz und Trefftz bestimmt worden ist.

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“…That means that the Ritz method of direct functional minimization is exceptionally useful for capacity calculation. Taking inequality (6) and relation (9) into consideration, we obtain:…”

Section: Idea Of the Methodsmentioning

confidence: 99%

Capacity estimation by means of Ritz and Trefftz's methods

Purczyński¹

1977

Archiv f. Elektrotechnik

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“…The work of Purczynski et al(1975), which describes the use of the Bubnov-Galerkin method for calculation of conductor impedance in the case of known boundary conditions, will be the starting point for the determination of the two-dimensional quasistationary field at any infinitely long and straight nonmagnetic conductor, carrying an alternating electric current. embedded in an empty space.…”

Section: The Use Of the Bubnov-galerkin Methods For Exterior Alternat...mentioning

confidence: 99%

Bubnov-Galerkin method for solving exterior alternating field problems

Rolicz¹

1982

J. Phys. D: Appl. Phys.

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It is demonstrated that the Bubnov-Galerkin method coupled with the separation of variables method can be applied for solving exterior alternating field problems. As an example illustrating the use of the method, the inner impedance of a rectangular conductor is calculated. Though the method is approximate, exact values of the impedance have been obtained by iterative numerical processes. The method can be used when the field or the vector potential do not vanish at infinity, and when the energy associated with the whole space is infinite.

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“…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%

“…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

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

Τσιμπούκης¹,

Tsiboukis²

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Use of Ritz and Bubnow-Galerkin methods for calculation of inductance and impedance of conductors

Cited by 39 publications

References 1 publication

Capacity estimation by means of Ritz and Trefftz's methods

Capacity estimation by means of Ritz and Trefftz's methods

Bubnov-Galerkin method for solving exterior alternating field problems

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

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