Publications

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2018

16. Time-parallel iterative solvers for parabolic evolution equations, M. Neumüller & IS, submitted for publication, 2018.

arXiv

15. Nonoverlapping domain decomposition preconditioners for discontinuous Galerkin approximations of Hamilton–Jacobi–Bellman equations, IS, Journal of Scientific Computing, volume 74, issue 1, pages 145–174, 2018.

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2017

14. An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor, P. Daniel, A. Ern, IS & M. Vohralik, submitted for publication, 2017.

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13. On the notion of boundary conditions in comparison principles for viscosity solutions, M. Jensen & IS, submitted for publication, 2017.

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12. Equilibrated flux a posteriori error estimates in L²(H¹)-norms for high-order discretizations of parabolic problems, A. Ern, IS & M. Vohralik, submitted for publication, 2017.

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11. Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems, A. Ern, IS & M. Vohralik, SIAM Journal on Numerical Analysis, volume 55, issue 6, pages 2811-2834, 2017.

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10. Discrete p-robust H(div)-liftings and a posteriori estimates for elliptic problems with H⁻¹ source terms, A. Ern, IS & M. Vohralik, Calcolo, volume 54, issue 3, pages 1009-1025, 2017.

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9. Robust and efficient preconditioners for the discontinuous Galerkin time-stepping method, IS, IMA Journal of Numerical Analysis, volume 37, issue 4, pages 1961-1985, 2017.

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2016

8. Stable Discontinuous Galerkin FEM without penalty parameters, L. John, M. Neilan & IS, Numerical Mathematics and Advanced Applications 2015, pages 165-173, Springer, 2016.

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7. A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for hp-version discontinuous Galerkin methods, P. F. Antonietti, P. Houston & IS, International Journal of Numerical Analysis and Modeling, volume 13, issue 4, pages 513–524, 2016.

Int. J. Numer. Anal. Model.

6. Discontinuous Galerkin finite element methods for time-dependent Hamilton–Jacobi–Bellman equations with Cordes coefficients, IS & E. Süli, Numerische Mathematik, volume 133, issue 1, pages 141-176, 2016.

Numer. Math. arXiv

2013-2015

5. Discontinuous Galerkin finite element approximation of Hamilton–Jacobi–Bellman equations with Cordes coefficients, IS, DPhil Thesis, University of Oxford, 2015.

Oxford Thesis Repository

4. Discontinuous Galerkin finite element approximation of Hamilton–Jacobi–Bellman equations with Cordes coefficients, IS and E. Süli, SIAM Journal on Numerical Analysis, volume 52, issue 2, pages 993–1016, 2014.

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3. Discontinuous Galerkin finite element approximation of nondivergence form elliptic equations with Cordes coefficients, IS and E. Süli, SIAM Journal on Numerical Analysis, volume 51, issue 4, pages 2088–2106, 2013.

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2. Finite element methods with artificial diffusion for Hamilton–Jacobi–Bellman equations, M. Jensen and IS, Numerical Mathematics and Advanced Applications 2011, pages 267-274, Springer, 2013.

Springer arXiv

1. On the convergence of finite element methods for Hamilton–Jacobi–Bellman equations, M. Jensen and IS, SIAM Journal on Numerical Analysis, volume 51, issue 1, pages 137–162, 2013.

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