Efficient solution of the differential form of Maxwell's equations in rectangular regions

1995 ◽  
Vol 43 (3) ◽  
pp. 647-654
Author(s):  
L.E. Garcia-Castillo ◽  
M. Salazar-Palma ◽  
T.K. Sarkar ◽  
R.S. Adve
Keyword(s):  
Differential Form ◽  
Maxwell’S Equations ◽  
Efficient Solution ◽  
Maxwell's Equations

Utilization of wavelet concepts in finite elements for an efficient solution of Maxwell's equations

Radio Science ◽  
1994 ◽  
Vol 29 (4) ◽  
pp. 965-977 ◽  
Author(s):  
Tapan K. Sarkar ◽  
Raviraj S. Adve ◽  
Luis Emilio García-Castillo ◽  
Magdalena Salazar-Palma
Keyword(s):  
Finite Elements ◽  
Maxwell’S Equations ◽  
Efficient Solution ◽  
Maxwell's Equations

About Maxwell’s equations on fractal subsets of ℝ3

Open Physics ◽  
2013 ◽  
Vol 11 (6) ◽  
Author(s):  
Alireza Golmankhaneh ◽  
Ali Golmankhaneh ◽  
Dumitru Baleanu
Keyword(s):  
Differential Form ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Measure Theory ◽  
Computer Programs ◽  
Physical Equation ◽  
Fractional Differential ◽  
Local Derivative ◽  
Fractional Differential Form

AbstractIn this paper we have generalized $$F^{\bar \xi }$$-calculus for fractals embedding in ℝ3. $$F^{\bar \xi }$$-calculus is a fractional local derivative on fractals. It is an algorithm which may be used for computer programs and is more applicable than using measure theory. In this Calculus staircase functions for fractals has important role. $$F^{\bar \xi }$$-fractional differential form is introduced such that it can help us to derive the physical equation. Furthermore, using the $$F^{\bar \xi }$$-fractional differential form of Maxwell’s equations on fractals has been suggested.

Utilization of Wavelet Concepts for an Efficient Solution of Maxwell’s Equations

1995 ◽  
pp. 465-473
Author(s):  
T. K. Sarkar ◽  
L. E. García-Castillo ◽  
M. Salazar-Palma ◽  
T. Roy ◽  
R. Adve
Keyword(s):  
Maxwell’S Equations ◽  
Efficient Solution ◽  
Maxwell's Equations
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