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JOURNALS // Differentsial'nye Uravneniya

Differ. Uravn., 2000, Volume 36, Number 7, Pages 979–985 (Mi de10182)

Multiplicative extraction of singularities in FEM solvers for degenerate elliptic equations
M. R. Timerbaev

This publication is cited in the following articles:
  1. A. A. Sobolev, M. R. Timerbaev, “High-Order Accuracy Approximation for a Two-Point Boundary Value Problem of Fourth Order with Degenerate Coefficients”, Lobachevskii J Math, 39:9 (2018), 1466  crossref
  2. A. A. Sobolev, M. R. Timerbaev, “Approksimatsiya vysokogo poryadka tochnosti dvukhtochechnoi kraevoi zadachi chetvertogo poryadka s vyrozhdayuschimisya koeffitsientami”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 159, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2017, 493–508  mathnet  elib
  3. M. V. Urev, “Convergence of the finite element method for elliptic equations with strong degeneration”, J. Appl. Industr. Math., 8:3 (2014), 411–421  mathnet  crossref  mathscinet
  4. A. A. Sobolev, M. R. Timerbaev, “Schemes of the finite element method with separation of singularity for a two-point boundary-value problem of the 4th order with degenerate coefficients”, Russian Math. (Iz. VUZ), 55:5 (2011), 74–77  mathnet  crossref  mathscinet
  5. A. A. Sobolev, M. R. Timerbaev, “O skhemakh MKE vysokogo poryadka tochnosti dlya dvukhtochechnoi zadachi Dirikhle chetvertogo poryadka s vyrozhdeniem”, Uchen. zap. Kazan. un-ta. Ser. Fiz.-matem. nauki, 152, no. 1, Izd-vo Kazanskogo un-ta, Kazan, 2010, 235–244  mathnet  mathscinet
  6. A. D. Lyashko, Sh. I. Tayupov, M. R. Timerbaev, “High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval”, Russian Math. (Iz. VUZ), 53:7 (2009), 17–27  mathnet  crossref  mathscinet  zmath
  7. Sh. I. Tayupov, M. R. Timerbaev, “Skhema MKE dlya ellipticheskoi zadachi s vnutrennim vyrozhdeniem koeffitsientov”, Trudy shestoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (1–4 iyunya 2009 g.). Chast 3, Differentsialnye uravneniya i kraevye zadachi, Matem. modelirovanie i kraev. zadachi, SamGTU, Samara, 2009, 213–216  mathnet
  8. A. D. Lyashko, M. R. Timerbaev, “Scheme of the finite element method with multiplicative separation of the singularity for a spectral boundary value problem for a degenerate differential operator”, Diff Equat, 44:7 (2008), 999  crossref
  9. Sh. I. Tayupov, M. R. Timerbaev, “O metode dekompozitsii oblasti dlya ellipticheskoi zadachi s vyrozhdayuschimisya vnutri oblasti koeffitsientami”, Trudy chetvertoi Vserossiiskoi nauchnoi konferentsii s mezhdunarodnym uchastiem (29–31 maya 2007 g.). Chast 3, Differentsialnye uravneniya i kraevye zadachi, Matem. modelirovanie i kraev. zadachi, SamGTU, Samara, 2007, 180–183  mathnet
  10. Sh. I. Tayupov, M. R. Timerbaev, “Skhemy MKE vysokogo poryadka tochnosti dlya neodnorodnoi dvukhtochechnoi granichnoi zadachi s vyrozhdeniem”, Uchen. zap. Kazan. gos. un-ta. Ser. Fiz.-matem. nauki, 148, no. 4, Izd-vo Kazanskogo un-ta, Kazan, 2006, 63–75  mathnet  zmath
  11. A. D. Lyashko, E. M. Fedotov, “Error estimates for projection-difference schemes for degenerate nonstationary equations”, Differ. Equ., 42:7 (2006), 1013–1017  mathnet  mathnet  crossref
  12. M. R. Timerbaev, “Weighted estimates for the solution of an anisotropically degenerate equation with Neumann boundary conditions at points of degeneracy”, Russian Math. (Iz. VUZ), 49:7 (2005), 61–73  mathnet  mathscinet  zmath
  13. M. R. Timerbaev, “Approksimatsiya konechnymi elementami kraevoi zadachi na sobstvennye znacheniya vyrozhdayuschegosya differentsialnogo operatora”, Uchen. zap. Kazan. gos. un-ta. Ser. Fiz.-matem. nauki, 147, no. 3, Izd-vo Kazanskogo un-ta, Kazan, 2005, 157–165  mathnet  zmath
  14. M. R. Timerbaev, “Weighted estimates for the solution of the Dirichlet problem with anisotropic degeneration on part of the boundary”, Russian Math. (Iz. VUZ), 47:1 (2003), 58–71  mathnet  mathscinet  zmath


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