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.
Main publications:
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.
