Publications: Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems.  SIAM J. Num. Analysis,  submitted  (2005).   [with S.Repin and S.Sauter]   <Preprint>  A Particle Based High-Resolution Method for Linear Convection Problems.  Proceedings of the ECCOMAS Thematic Conference on Meshless Methods (eds. V.M.A.Leitao, C.J.S.Alves, C.A.Duarte),  Lisbon,  2005,  pp.B34.1-B34.6,  ISBN 972-99289-1-6.   [with O.Shipilova and H.Haario] The Particle Transport Method for Convection-Reaction  Problems.  Proceedings of 33rd Conference "Advanced Problems in Mechanics" (ed.  D.A.Indeitsev), Russian Academy of Sciences, Institute for Problems in Mechanical Engineering,  2005,  in press.   [with O.Shipilova and H.Haario] Numerical Study of Dynamics of Single Bubbles and Bubble Swarms.  Appl. Math. Modelling,  submitted  (2005).   [with H.Haario and P.Luukka]   <Preprint> A Fast High-Resolution Algorithm for Linear Convection Problems:  Particle Transport Method.  Int. J. Num. Meth. Engng.,  submitted  (2005).   [with O.Shipilova and H.Haario]   <Preprint>  Functional-Type A Posteriori Error Estimates for Mixed Finite Element Methods.  Russian J. Num. Anal. Math. Modelling,  20,  no. 4,  365-382  (2005).    [with S.Repin]   <Preprint> Vortex Shedding Behind a Rising Bubble and Two-Bubble Coalescence:  A Numerical Approach.  Appl. Math. Modelling,  29,  615-632  (2005).   [with H.Haario and P.Luukka]   <Preprint> Finite-Element/Level-Set/Operator-Splitting (FELSOS) Approach for Computing Two-Fluid Unsteady Flows with Free Moving Interfaces.  Int. J. Num. Meth. Fluids,  48,   no.3,  231-269  (2005). <Preprint> Two-Scale Composite Finite Element Method for the Dirichlet Problem on Complicated Domains.  Num. Math. ,  102,  no.4,  681-708  (2006).   [with M.Rech and S.Sauter]   <Preprint> The Particle Transport Method for Linear Convection Problems.  Proceedings of 32nd Conference "Advanced Problems in Mechanics" (ed.  D.A.Indeitsev), Russian Academy of Sciences, Institute for Problems in Mechanical  Engineering,  2004,   pp.412-416.   [with O.Shipilova and H.Haario] Computational Study of Bubble Dynamics.  Research Report 86,  ISBN 951-764-887-1,  Department of Information Technology,  Lappeenranta University of Technology,  2004.   [with H.Haario and P.Luukka] <Preprint> A Posteriori Control of Dimension Reduction Errors on Long Domains.  PAMM,  4,  no.1,  714-715  (2004).   [with S.Repin and S.Sauter] Computational Modelling of Complex Phenomena in Bubble Dynamics: Vortex Shedding and Bubble Swarms.  Proceedings of the 4th European Congress in Applied Sciences and Engineering ECCOMAS 2004 (eds. P.Neittaanmaki, T.Rossi, K.Majava, O.Pironneau),  CD-ROM.   [with H.Haario, Z.Korotkaya and P.Luukka]   <Preprint> A Posteriori Estimation of Dimension Reduction Errors.  Proceedings of Conference ENUMATH 2003 (eds. M.Feistauer, V.Dolejsi, P.Knobloch, K.Najzar), Springer, Berlin,  2004,  pp.716-725.   [with S.Repin and S.Sauter] Computational Modelling of Complex Bubble Interactions.  Proceedings of European Symposium on Computer Aided Process Engineering ESCAPE-14 (eds. A.P.Barbosa-Povoa,  H.Matos), Elsevier Science B.V., Amsterdam,  2004,  pp.193-199.   [with H.Haario, A.Laari, P.Luukka and I.Turunen]    <Preprint> A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains.  SIAM J. Num. Analysis, 42,  no.4,  1435-1451  (2004) .   [with S.Repin and S.Sauter]   <Preprint> A Posteriori Error Estimation for the Poisson Equation with Mixed Dirichlet/Neumann Boundary Conditions.  J. Comp. Appl. Math.,  164 / 165,  601-612  (2004).   [with S.Repin and S.Sauter]   <Preprint> A Posteriori Error Estimation for the Dirichlet Problem with Account of the Error in the Approximation of Boundary Conditions.  Computing,  70,  205-233  (2003).   [with S.Repin and S.Sauter]   <Preprint> Duality Based A Posteriori Error Estimator for the Dirichlet Problem.  PAMM, 2, no.1,  513-514 (2003).   [with S.Repin and S.Sauter] Numerical Bubble Dynamics.  Proceedings of European Symposium on Computer Aided Process Engineering ESCAPE-13 (eds. A.Kraslawski, I.Turunen), Elsevier Science B.V., Amsterdam,  2003,  pp.941-946.   [with H.Haario and P.Luukka]   <Preprint> Numerical Simulation of Interfacial Flows.  Proceedings of Conference ENUMATH 2001 (eds. F.Brezzi, A.Buffa,  S.Corsaro, A.Murli),  Springer-Italia,  Milano,  2003,  pp.173-179.   <Preprint> Numerical Modeling of Two-Fluid Interfacial Flows.  PhD dissertation,  Jyvaskyla Studies in Computing  8,  ISBN 951-39-0929-8,  University of Jyvaskyla,  2001.   <Preprint> Multilayer Taylor-Galerkin Schemes for Convection Problems.  Int. J. Num. Meth. Engng., 46, no.5,  659-670 (1999).   [with D.Kuzmin]                                                 Approximate Solution of Problem on Viscous Flow with Evaporating Noncompact Free Boundary.  Proceedings of Conference ``Finite Element Methods: Superconvergence, Post-Processing and A Posteriori Estimates''  (eds. M.Krizek, P.Neittaanmaki, R.Stenberg), Lecture Notes in Pure and Applied Mathematics, vol.196,  Marcel Dekker,  New York,  1998,  pp.249-257.   <Preprint>