Discontinuous and stabilized finite element methods, discontinuous Galerkin finite element methods for homogeneous and heterogeneous interface problems, computational mechanics, computational fluid dynamics, petroleum reservoir simulations.

• MOZOLEVSKI, I., SÜLI, Endre, BÖSING, Paulo Rafael Discontinuous Galerkin finite element approximation of the two-dimensional Navier–Stokes equations in stream-function formulation. Communications in Numerical Methods in Engineering, v. 23, p. 447–459, 2007.
• MOZOLEVSKI, I., SÜLI, Endre, BÖSING, Paulo Rafael hp-version a priori error analysis of interior penalty discontinuous Galerkin finite element approximations to the biharmonic equation. Journal of Scientific Computing, v. 30, p. 465–491, 2007.
• SÜLI, Endre, MOZOLEVSKI, I. hp-version interior penalty DGFEMs for the biharmonic equation. Computer Methods in Applied Mechanics and Engineering, v. 196, p. 1851–1863, 2007.
• Burman E., Ern A., MOZOLEVSKI, I., Stamm B. The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders $p\ge 2$. Comptes Rendus de l'Académie des Sciences. Série 1, Mathématique, v. 345, p. 599–602, 2007.
• MOZOLEVSKI, I., SÜLI, Endre, BÖSING, Paulo Rafael Discontinuous Galerkin finite element method for a fourth-order nonlinear elliptic equation related to the two-dimensional Navier–Stokes equatiion. Springer Verlag Proceedings Of Enumath 2005 Santiago de Compostela Spain, v. 1, p. 423–430, 2006.
• MOZOLEVSKI, I., SÜLI, Endre, BÖSING, Paulo Rafael hp-Version a priori Error Analysis of Interior Penalty Discontinuous Galerkin Finite Element Approximations to the Biharmonic Equation. Journal Of Scientific Computing, v. Online, 2006.
• MOZOLEVSKI, I., SÜLI, Endre A priori error analysis for the hp-version of the discontinuous Galerkin finite element method for the biharmonic equation. Computational Methods In Applied Mathematics, v. 3, p. 596–607, 2003.

• Belarusian State University, Minsk
• Federal University of Santa Catarina