ResearcherID: G-1845-2014


Jan Papež, Jörg Liesen, and Zdeněk Strakoš: Distribution of the discretization and algebraic error in numerical solution of partial differential equations, Linear Algebra Appl., 449, 2014, pp. 89-114. [download]

Jan Papež and Zdeněk Strakoš: On a residual-based a posteriori error estimator for the total error, IMA J. Numer. Anal., 2017, doi: 10.1093/imanum/drx037. [preprint download]

Jan Papež, Zdeněk Strakoš, and Martin Vohralík: Estimating and localizing the algebraic and total numerical errors using flux reconstructions, Numer. Math., 2017, doi: 10.1007/s00211-017-0915-5. [free online preview]

Jan Papež, Uli Rüde, Martin Vohralík, and Barbara Wohlmuth: Sharp algebraic and total a posteriori error bounds for h and p finite elements via a multilevel approach, submitted for publication. HAL Preprint 01662944

Jan Papež, Laura Grigori, and Radek Stompor: Solving linear equations with messenger-field and conjugate gradient techniques - an example of CMB data analysis, (in preparation).

doctoral thesis

Algebraic Error in Matrix Computations in the Context of Numerical Solution of Partial Differential Equations, Faculty of Mathematics and Physics, Charles University. Defended in February 2017. [download]

presentations (selected)

Algebraic error and a posteriori error estimation in numerical PDEs, Implicitly constituted materials: Modeling, Analysis and Computing, August 2017, Roztoky.

Estimating and localizing the algebraic and total numerical errors using flux reconstruction, ILAS 2016, July 2016, Leuven. [download]

Vorobyev’s Method of Moments in Applied Mathematics - Part I (Self-adjoint Operators), MORE seminar, May 2015, Charles University in Prague. [download]

Interpretation of the algebraic error and algebraic preconditioning as the transformation of the discretization basis, Modeling, analysis and computing in nonlinear PDEs, 2014, Liblice. [video on]

Spatial distribution of errors in numerical solution of PDE model problems, 85th GAMM Annual Meeting, 2014, Erlangen. [download]

On Spatial Distribution of the Discretization and Algebraic Error in Numerical Solution of Partial Differential Equations, SIAM Annual Meeting 2013, San Diego. [download]

Distribution of the algebraic and discretization error in numerical solution of 1D Poisson model problem, XII GAMM Workshop on Applied and Numerical Linear Algebra, 2012, Liblice. [download]