Publications in Math-Net.Ru |
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2017 |
1. |
A. V. Lapin, D. G. Zalyalov, “Solution of an elliptic optimal control problem with pointwise and nonlocal state constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 4, 23–34 ; Russian Math. (Iz. VUZ), 61:4 (2017), 18–28 |
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2016 |
2. |
A. V. Lapin, A. A. Platonov, “Numerical solution of a parabolic optimal control problem with point-wise state constraints”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 158:1 (2016), 81–89 |
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2015 |
3. |
A. V. Lapin, D. G. Zalyalov, “Penalty method for the state equation for an elliptical optimal control problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 7, 36–48 ; Russian Math. (Iz. VUZ), 59:7 (2015), 31–43 |
4. |
N. S. Kashtanov, A. V. Lapin, “Effectively implementable iterative methods for the linear elliptic variational inequalities with constraints to the gradient of solution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 7, 10–24 ; Russian Math. (Iz. VUZ), 59:7 (2015), 7–20 |
5. |
A. V. Lapin, A. D. Romanenko, “Solving the problem of Bingham fluid flow in cylindrical pipeline”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, 2, 82–86 ; Russian Math. (Iz. VUZ), 59:2 (2015), 67–70 |
6. |
M. A. Ignatieva, A. V. Lapin, “Using domain decomposition method and non-matching grids for solving some variational inequalities”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157:2 (2015), 68–78 |
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2012 |
7. |
D. G. Zalyalov, A. V. Lapin, “Numerical Solution of an Optimal Control Problem Governed by a Linear Elliptic Equation with Non-Local State Constraints”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:3 (2012), 129–144 |
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2010 |
8. |
A. V. Lapin, M. G. Khasanov, “The solution of a state constrained optimal control problem by the right-hand side of an elliptic equation”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152:4 (2010), 56–67 |
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2006 |
9. |
M. A. Ignat'eva, A. V. Lapin, N. V. Lapin, “Domain decomposition method for Signorini problem in mixed hybrid formulation”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:3 (2006), 80–93 |
10. |
R. F. Kadyrov, A. V. Lapin, “Mathematical model and numerical solution of filtration problem for two immiscible fluids”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 148:2 (2006), 65–76 |
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2005 |
11. |
A. V. Lapin, M. A. Ignat'eva, “Solution of the obstacle problem by domain decomposition method”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 147:3 (2005), 112–126 |
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2004 |
12. |
A. M. Elizarov, A. V. Lapin, “Application of variational methods in inverse boundary value problems for analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, 7, 30–46 ; Russian Math. (Iz. VUZ), 48:7 (2004), 27–43 |
13. |
A. V. Lapin, S. A. Lapin, “Identification of nonlinear coefficient in a transport equation”, Lobachevskii J. Math., 14 (2004), 69–84 |
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2003 |
14. |
E. Laitinen, A. V. Lapin, J. Pieskä, “Numerical experiments with multilevel Subdomain decomposition method”, Lobachevskii J. Math., 13 (2003), 67–80 |
15. |
R. F. Kadyrov, E. Laitinen, A. V. Lapin, “Using explicit schemes for control problems in continuous casting process”, Lobachevskii J. Math., 13 (2003), 25–38 |
16. |
M. A. Ignat'eva, A. V. Lapin, “Mixed hybrid finite element scheme for stefan problem with prescribed convection”, Lobachevskii J. Math., 13 (2003), 15–24 |
17. |
R. Z. Dautov, R. F. Kadyrov, E. Laitinen, A. V. Lapin, J. Pieskä, V. Toivonen, “On 3D dynamic control of secondary cooling in continuous casting process”, Lobachevskii J. Math., 13 (2003), 3–13 |
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2002 |
18. |
A. V. Lapin, J. Pieskä, “On the parallel domain decomposition algorithms for time-dependent problems”, Lobachevskii J. Math., 10 (2002), 27–44 |
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2001 |
19. |
E. Laitinen, A. V. Lapin, J. Pieskä, “Large splitting iterative methods and parallel solution of variational inequalities”, Lobachevskii J. Math., 8 (2001), 167–184 |
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1999 |
20. |
A. V. Lapin, E. G. Sheshukov, “The problem of filtration through a porous barrier on a permeable foundation with a layer of salt water”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, 10, 9–18 ; Russian Math. (Iz. VUZ), 43:10 (1999), 7–16 |
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1996 |
21. |
O. G. Abushov, A. V. Lapin, “Solution of the problem of filtration in a dam by the shape optimization method of optimizing: grid approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, 9, 3–13 ; Russian Math. (Iz. VUZ), 40:9 (1996), 1–11 |
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1995 |
22. |
E. A. Kosterina, A. V. Lapin, “Solution of the problem of saturated-unsaturated filtration of a fluid in soil with caking of the saturation front”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 6, 42–50 ; Russian Math. (Iz. VUZ), 39:6 (1995), 38–46 |
23. |
O. G. Abushov, A. V. Lapin, “Solution of the dam problem by the method of the optimal control of a region”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 4, 12–21 ; Russian Math. (Iz. VUZ), 39:4 (1995), 9–18 |
24. |
K. P. Kurtseva, A. V. Lapin, E. G. Sheshukov, “Solution by grid methods of the problem of the filtration of a fluid in a dam with a nonlinear filtration law”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, 2, 47–52 ; Russian Math. (Iz. VUZ), 39:2 (1995), 44–49 |
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1993 |
25. |
A. V. Lapin, “Methods of upper relaxation type for the sum of a quadratic and a convex functional”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 8, 30–39 ; Russian Math. (Iz. VUZ), 37:8 (1993), 28–37 |
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1983 |
26. |
A. V. Lapin, “Investigation of two-layer difference schemes for parabolic variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, 10, 37–45 ; Soviet Math. (Iz. VUZ), 27:10 (1983), 47–57 |
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1981 |
27. |
R. Z. Dautov, A. V. Lapin, “Investigation of convergence in difference norms of schemes of the finite element method with numerical integration for fourth-order elliptic equations”, Differ. Uravn., 17:7 (1981), 1256–1269 |
28. |
A. V. Lapin, “Approximation of nonlinear stationary variational inequalities”, Issled. Prikl. Mat., 9 (1981), 9–23 ; J. Soviet Math., 46:6 (1989), 2164–2176 |
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1980 |
29. |
A. V. Lapin, “Investigation of a nonstationary nonlinear variational inequality”, Differ. Uravn., 16:7 (1980), 1245–1254 |
30. |
R. Z. Dautov, A. V. Lapin, A. D. Lyashko, “Difference schemes for quasilinear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 20:2 (1980), 334–349 ; U.S.S.R. Comput. Math. Math. Phys., 20:2 (1980), 62–78 |
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1979 |
31. |
R. Z. Dautov, A. V. Lapin, “Difference schemes of an arbitrary order of accuracy for quasilinear elliptic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, 10, 24–37 ; Soviet Math. (Iz. VUZ), 23:10 (1979), 1–13 |
32. |
E. A. Begovatov, A. V. Lapin, “Diffusion approximation in closed queueing systems”, Issled. Prikl. Mat., 7 (1979), 95–102 ; J. Soviet Math., 43:3 (1988), 2481–2485 |
33. |
A. V. Lapin, “Local correctness of a class of nonlinear operator-difference schemes”, Issled. Prikl. Mat., 6 (1979), 32–45 ; J. Soviet Math., 43:1 (1988), 2199–2209 |
34. |
M. M. Karchevskii, A. V. Lapin, “Investigation of a difference scheme for a nonlinear stationary problem of filtration theory”, Issled. Prikl. Mat., 6 (1979), 23–31 ; J. Soviet Math., 43:1 (1988), 2193–2199 |
35. |
A. V. Lapin, “Investigation of some non-linear problems of filtering theory”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 689–700 ; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 135–148 |
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1976 |
36. |
A. V. Lapin, Yu. B. Smirnov, “The study of difference schemes for quasilinear degenerate elliptic equations”, Differ. Uravn., 12:5 (1976), 892–901 |
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1975 |
37. |
A. V. Lapin, A. D. Lyashko, “The convergence of difference schemes for quasilinear equations that are parabolic on the solution”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, 12, 30–42 ; Soviet Math. (Iz. VUZ), 19:12 (1975), 24–34 |
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1974 |
38. |
A. V. Lapin, “The correctness and convergence in the strong norm of difference schemes for quasilinear parabolic equations. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, 8, 47–53 |
39. |
A. V. Lapin, “The correctness and convergence in the strong norm of difference schemes for quasilinear parabolic equations. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 1974, 7, 42–52 |
40. |
A. V. Lapin, “A study of the convergence of difference schemes in the norm $W^{(2)}_2$ for quasilinear elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 14:6 (1974), 1516–1525 ; U.S.S.R. Comput. Math. Math. Phys., 14:6 (1974), 140–149 |
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1973 |
41. |
A. V. Lapin, A. D. Lyashko, “An investigation of difference schemes for a certain class of quasilinear parabolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1973, 1, 71–77 |
42. |
A. V. Lapin, “Convergence of difference schemes for boundary problems in an arbitrary domain”, Issled. Prikl. Mat., 1 (1973), 90–93 ; J. Soviet Math., 40:6 (1988), 762–764 |
43. |
A. V. Lapin, “Correctness of a nonlinear two-layer difference scheme with weights”, Issled. Prikl. Mat., 1 (1973), 82–89 ; J. Soviet Math., 40:6 (1988), 757–762 |
44. |
A. V. Lapin, “Correctness in the strong norm of a nonlinear two-layer difference scheme”, Issled. Prikl. Mat., 1 (1973), 71–81 ; J. Soviet Math., 40:6 (1988), 749–756 |
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1972 |
45. |
A. V. Lapin, “The correctness of a nonlinear two-layer difference scheme”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, 9, 48–53 |
46. |
M. M. Karchevskii, A. V. Lapin, A. D. Lyashko, “Efficient difference schemes for quasilinear parabolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1972, 3, 23–31 |
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1970 |
47. |
A. V. Lapin, A. D. Lyashko, “An investigation of the method of nets for nonlinear elliptic equations of arbitrary order”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, 10, 37–43 |
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2014 |
48. |
I. B. Badriev, A. V. Lapin, E. M. Fedotov, “Karchevskii Mikhail Mironovich (on the occasion of the 70th birthday)”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 156:4 (2014), 149–156 |
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