A Fast Algorithm to Solve the Bitsadze Equation in the Unit Disk

References

[1] H. Begehr, “Boundary Value Problems in Complex Analysis I,” Boles’ de la Association’s Mathematical Venezuelan, Vol. 12, No. 1, 2005, pp. 65-85.

[2] H. Begehr, “Boundary Value Problems in Complex Analysis II,” Boles’ de la Association’ Mathematical Venezuelan, Vol. 12, No. 2, 2005, pp. 217-250.

[3] P. Daripa, “A Fast Algorithm to Solve Nonhomogeneous Cauchy–Riemann Equations in the Complex Plane,” SIAM Journal on Scientific and Statistical Computing, Vol. 13, No. 6, 1992, pp. 1418-1432. doi:10.1137/0913080

[4] P. Daripa and D. Mashat, “An Efficient and Novel Numerical Method for Quasiconformal Mappings of Doubly Connected Domains,” Numerical Algorithms, Vol. 18, No. 2, 1998, pp. 159-175. doi:10.1023/A:1019169431757

[5] P. Daripa and D. Mashat, “Singular Integral Transforms and Fast Numerical Algorithms,” Numerical Algorithms, Vol. 18, No. 2, 1998, pp. 133-157. doi:10.1023/A: 1019117414918

[6] P. Daripa and L. Borges, “A Fast Parallel Algorithm for the Poisson Equation on a Disk,” Journal of Computational Physics, Vol. 169, No. 1, 2001, pp. 151-192. doi: 10.1006/jcph.2001.6720

[7] P. Daripa and L. Borges, “A Parallel Version of a Fast Algorithm for Singular Integral Transforms,” Numerical Algorithms, Vol. 23, No. 1, 2000, pp. 71-96. doi:10.1023/ A:1019143832124

[8] P. Daripa, “A Fast Algorithm to Solve the Beltrami Equation with Applications to Quasiconformal Mappings,” Journal of Computational Physics, Vol. 106, No. 2, 1993, pp. 355-365.

[9] P. Daripa, “On a Numerical Method for Quasiconformal Grid Generation,” Journal of Computational Physics, Vol. 96, No. 2, 1991, pp. 229-236. doi:10.1016/0021-9991(91) 90274-O

[10] A. H. Babayan, “A Boundary Value Problem for Bitsadze Equation in the Unit Disc,” Journal of Contemporary Mathematica Analysis, Vol. 42, No. 4, 2007, pp. 177-183. doi:10.3103/S1068362307040012

[11] A. V. Bitsadze, “Boundary Value Problems of Second Order Elliptic Equations,” North-Holland Publishing Company, Amsterdam, 1968.

[12] C. Miranda, “Partial Differential of Elliptic Type,” Springer, New York, 1970.

[13] M. Schechter, L. Bers and F. John, “Partial Differential Equations,” Interscience, New York, 1964.