Accelerated reactive transport simulations in heterogeneous porous media using Reaktoro and FiredrakeKyas, S., Volpatto, D., Saar, M. O., and Leal, A. M. M.2022Journal Article Peer-ReviewedComputational Geosciences 26, pp. 295–327Abstract ▾DOI: 10.1007/s10596-021-10126-2Cite
Towards a Model Based Interpretation of Measurements of Mineral and Chemical CompositionsHauser, J., Dan Miron, G. D., Kyas, S., Leal, A. M. M., and Gunning, J.2022Journal Article Peer-ReviewedAbstract ▾Cite
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problemKumar, K., Kyas, S., Nordbotten, J. M., and Repin, S. I.2021Journal Article Peer-ReviewedComputers & Mathematics with Applications 91, pp. 122–149Abstract ▾DOI: 10.1016/j.camwa.2020.05.005Cite
Accelerating Reactive Transport Modeling: On-Demand Machine Learning Algorithm for Chemical Equilibrium CalculationsLeal, A. M. M., Kyas, S., Kulik, D. A., and Saar, M. O.2020Journal Article Peer-ReviewedTransport in Porous Media 133, pp. 161–204Abstract ▾(Paper accepted: 2020-06-01)DOI: 10.1007/s11242-020-01412-1Cite
Guaranteed error bounds and local indicators for adaptive solvers using stabilised space–time IgA approximations to parabolic problemsLanger, U., Kyas, S., and Repin, S. I.2019Journal Article Peer-ReviewedComputers & Mathematics with Applications 78, pp. 2641–2671Abstract ▾DOI: 10.1016/j.camwa.2019.04.009Cite
Space‐Time Isogeometric Analysis of Parabolic Diffusion Problems in Moving Spatial DomainsKyas, S., Langer, U., and Repin, S. I.2019Journal Article Peer-ReviewedPAMM 19Abstract ▾DOI: 10.1002/pamm.201900504Cite
Fully reliable error control for first-order evolutionary problemsHolm, B. and Kyas, S.2018Journal Article Peer-ReviewedComputers & Mathematics with Applications 75, pp. 1302–1329Abstract ▾DOI: 10.1016/j.camwa.2017.11.008Cite
Functional approach to the error control in adaptive IgA schemes for elliptic boundary value problemsKyas, S.2018Journal Article Peer-ReviewedJournal of Computational and Applied Mathematics 344, pp. 394–423Abstract ▾DOI: 10.1016/j.cam.2018.05.029Cite
On the a posteriori error analysis for linear Fokker–Planck models in convection-dominated diffusion problemsKyas, S. and Wolfmayr, M.2018Journal Article Peer-ReviewedApplied Mathematics and Computation 339, pp. 779–804Abstract ▾DOI: 10.1016/j.amc.2018.05.050Cite
Explicit Constants in Poincaré-Type Inequalities for Simplicial Domains and Application to A Posteriori EstimatesKyas, S. and Repin, S. I.2016Journal Article Peer-ReviewedComputational Methods in Applied Mathematics 16, pp. 277–298Abstract ▾DOI: 10.1515/cmam-2015-0037Cite
A posteriori error estimates for time-dependent reaction-diffusionproblems based on the Payne--Weinberger inequalityKyas, S., Neittaanmäki, P., and Repin, S. I.2015Journal Article Peer-ReviewedDiscrete and Continuous Dynamical Systems 35, pp. 2659–2677Abstract ▾DOI: 10.3934/dcds.2015.35.2659Cite
Estimates of the Distance to the Exact Solution of Parabolic Problems Based on Local Poincaré Type InequalitiesKyas, S. and Repin, S. I.2015Journal Article Peer-ReviewedJournal of Mathematical Sciences 210, pp. 759–778Abstract ▾DOI: 10.1007/s10958-015-2588-xCite
Computable estimates of the distance to the exact solution of the evolutionary reaction–diffusion equationKyas, S. and Repin, S. I.2014Journal Article Peer-ReviewedApplied Mathematics and Computation 247, pp. 329–347Abstract ▾DOI: 10.1016/j.amc.2014.08.055Cite
Estimates for the difference between exact and approximate solutions of parabolic equations on the basis of Poincaré inequalities for traces of functions on the boundaryKyas, S. and Repin, S. I.2016Presentation Peer-ReviewedDifferential EquationsAbstract ▾DOI: 10.1134/s0012266116100116Cite
Guaranteed and computable bounds of approximation errors for the semi-discrete Biot problemKumar, K., Kyas, S., Repin, S. I., and Nordbotten, J. M.2018PreprintPreprint on arXivCite
5. Adaptive space-time isogeometric analysis for parabolic evolution problemsLanger, U., Kyas, S., and Repin, S. I.2019Book Chapter Peer-ReviewedDe Gruyter, pp. 141–184Abstract ▾DOI: 10.1515/9783110548488-005Cite
Functional Type Error Control for Stabilised Space-Time IgA Approximations to Parabolic ProblemsLanger, U., Kyas, S., and Repin, S. I.2018Book Peer-ReviewedSpringer International Publishing, pp. 55–65Abstract ▾DOI: 10.1007/978-3-319-73441-5_5Cite
Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration MethodsKyas, S., Neittaanmäki, P., and Repin, S. I.2013Book Peer-ReviewedSpringer Netherlands, pp. 175–189Abstract ▾ URLDOI: 10.1007/978-94-007-5288-7_10Cite
Numerical Methods for Differential Equations, Optimization, and Technological ProblemsRepin, S. I., Tirronen, T., Neittaanmäki, P., and Kyas, S.2013Book Peer-ReviewedSpringer Netherlands, DordrechtAbstract ▾DOI: 10.1007/978-94-007-5288-7Cite
Fully reliable a posteriori error control for evolutionary problemsKyas, S.2015PhD Thesis Peer-ReviewedPhD Thesis, University of JyväskyläAbstract ▾Cite
Guaranteed error bounds for linear algebra problems and a class of Picard-Lindelöf iteration methodsKyas, S.2012Master's Thesis Peer-ReviewedMSc Thesis, University of JyväskyläAbstract ▾ URLCite
Reaktoro v2: an overview of its geochemical modeling capabilities and its use as a geochemical solver in reactive transport simulationsLeal, A. M. M., Kyas, S., and Saar, M. O.2022OtherCite
Accelerating reactive transport simulations with on-demand machine learningLeal, A. M. M., Kyas, S., Kulik, D. A., and Saar, M. O.2020OtherCite
Ultra-fast geochemical calculations in reactive transport modeling with on-demand learning algorithmsLeal, A. M. M., Kyas, S., Kulik, D. A., and Saar, M. O.2020OtherCite
Accelerating chemical kinetics for geochemical modelingKyas, S., Saar, M. O., and Leal, A. M. M.2019OtherCite
Accelerating geochemical equilibrium and kinetics calculation for modeling radioactive waste disposalKyas, S.2019OtherCite
Accelerating reactive transport simulations with on-demand learning algorithmsLeal, A. M. M., Kyas, S., Kulik, D. A., and Saar, M. O.2019OtherCite
Reactive transport simulation in porous media using Firedrake and ReaktoroLeal, A. M. M., Volpatto, D., and Kyas, S.2019OtherCite
Reaktoro as the chemical reaction solver in Shell's reservoir simulatorKyas, S. and Leal, A. M. M.2019OtherCite
Guaranteed and computable error bounds for the Biot problemKyas, S., Kumar, K., and Nordbotten, J. M.2018OtherCite