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
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
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
