Main scientific results
1979 Construction of an octahedron with non-Lipschitzian boundary [J4] .
1982 Existence of a strongly regular family of decompositions of an arbitrary polyhedron into tetrahedra [C1] .
1983 Construction of divergence-free finite element basis functions with small supports [B1] (for continuous piecewise linear divergence-free basis functions see [B9] ).1984 Superconvergence phenomenon in the finite element method arising from averaging gradients [B3] .1985 Dual finite element method for the biharmonic problem [C5] .
1986 Construction of divergence-free finite element functions in three-dimensional domains [B4] .
1987 A general definition of superconvergence [B6] .
1988 O (h 4 )-superconvergence of piecewise bilinear finite element approximations [B7] , [B8] .1989 Finite element solution of time-harmonic Maxwell equations [C11] .
1990 Preconditioned biconjugate gradient method for a system of linear algebraic equations in a complex variable [G5] , [B20] .
1991 The maximum angle condition that guarantees optimal interpolation properties of linear triangular finite elements [C12] .1992 The maximum angle condition that guarantees optimal interpolation properties of linear tetrahedral finite elements [B11] .
1993 Numerical analysis of finite element variational crimes for a nonlinear elliptic problem [B14] .1994 Finite element analysis of a quasilinear nonpotential elliptic problem of a nonmonotone type [B19] .
1995 Discrete maximum principle on tetrahedral meshes [B21] , [B34] , [B35] .
1996 A comparison principle for a quasilinear elliptic problem [B25] .
1997 Local refinements of unstructured tetrahedral meshes [B26] .
1998 Finite element analysis of a radiation heat transfer problem [B29] .
1999 Finite speed of gravitational interaction contributes to the expansion of the universe [B32] .
2000 Numerical analysis of variational crimes for a quasilinear elliptic problem in 3D [B33] .
2001 A necessary and sufficient condition for the primality of Fermat numbers [C23] .2002 Colouring polytopic partitions [C25] , in particular, any tetrahedralization is
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2003 The nonexistence of a Lobachevsky geometry model of an isotropic and homogeneous universe [B41] (for the time-lens principle see [K25] ).
2004 A new relationship between Mersenne and Sophie Germain primes [B46] .
2005 For a given integer m there is no face-to-face tetrahedralization of R 3 such that each edge is surrounded by m tetrahedra [B50] .
2006 There is no face-to-face partition of R 5 into acute simplices [B54] .2007 Dissection of the path-simplex in Rn into n path-simplices [B56] .
2008 Euclidean primes have the minimum number of primitive roots [B60] .
2009 Gravitational aberration contributes to the dark energy necessary for the accelerated expansion of the Universe [B61] .2010 Manifestations of dark energy in the dynamics of the Solar system [D32] .
2011 Two-sided bounds of the FE discretization error [B75] .
2012 The origin of dark energy [B78] .
Last update on March 8, 2012
