−∇·(a(x)∇u) = f u − u_h = O(h^{k+1})
∫_Ω a∇u·∇v dx = ∫_Ω f v dx a(x/ε) → a* û = argmin ‖·‖_{H(div)}
⟨σ,τ⟩ + (u,∇·τ) = 0 (∇·σ,w) = (f,w) D^α u, 0<α<1
1966
1972
1972 – 1991
1976 – 1977
1982
1985 – 1991
1991 – 1992
1992 – 2024
B. Cockburn, J. Gopalakrishnan, R. Lazarov. SIAM J. Numer. Anal., 47(2), 2009, 1319–1365.
O. P. Iliev, R. D. Lazarov, J. Willems. SIAM Multiscale Model. Simul., 9(4), 2011, 1350–1372.
B. Jin, R. Lazarov, Z. Zhou. SIAM J. Numer. Anal., 51(1), 2013, 445–466.
B. Jin, R. Lazarov, J. Pasciak, W. Rundell. Math. Comp., 84(296), 2015, 2665–2700.
J. Kraus, R. Lazarov, M. Lymbery, S. Margenov, L. Zikatanov. SIAM J. Sci. Comput., 38(2), 2016, A875–A898.
A. A. Samarskii, R. D. Lazarov, V. Makarov.
- SIAM J. Numerical Analysis (1999–2005)
- Computational Methods in Applied Mathematics (2000– )
- Numerical Methods for PDEs (1990– )
- Journal on Numerical Mathematics (1992– )
- International Journal on Finite Volumes (2004– )
- E. A. Varbanova
- Svetozar Margenov
- Andrey Andreev
- Mohamed El Hatri
- Lyuben Vulkov
- Atanas Pehlivanov
- N. Kumanov
- S. Petrova
- Ilia Michev
- Serguei Maliassov
- S. Fidanova
- T. Dimov
- Vesselin Kantchev
- Hong Huang
- S. Tomov
- Victor Ginting
- V. Dobrev
- S. Ki Kang
- Y. Mao
- M. Moon
- Zhi Zhou