Orthogonal Systems of Singular Functions and Numerical Treatment of Problems with Degeneration of Data. - Alexei Bespalov (Adv. Comput. Math., 2003)

The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. - Alexei Bespalov; Norbert Heuer (Numerische Mathematik, 2005)

On the finite element method for elliptic problems with degenerate and singular coefficients. - Daniel Arroyo; Alexei Bespalov; Norbert Heuer (Math. Comput., 2007)

The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. - Alexei Bespalov; Norbert Heuer (Numerische Mathematik, 2007)

Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions. - Alexei Bespalov; Norbert Heuer (SIAM J. Numer. Anal., 2009)

Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces. - Alexei Bespalov; Norbert Heuer; Ralf Hiptmair (SIAM J. Numer. Anal., 2010)

A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. - Alexei Bespalov; Catherine Elizabeth Powell; David J. Silvester (SIAM J. Numer. Anal., 2012)

Energy Norm A Posteriori Error Estimation for Parametric Operator Equations. - Alexei Bespalov; Catherine Elizabeth Powell; David J. Silvester (SIAM J. Sci. Comput., 2014)

A priori error analysis of the BEM with graded meshes for the electric field integral equation on polyhedral surfaces. - Alexei Bespalov; Serge Nicaise (Comput. Math. Appl., 2016)

The BEM with graded meshes for the electric field integral equation on polyhedral surfaces. - Alexei Bespalov; Serge Nicaise (Numerische Mathematik, 2016)

Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations. - Alexei Bespalov; David J. Silvester (SIAM J. Sci. Comput., 2016)

Efficient Adaptive Algorithms for Elliptic PDEs with Random Data. - Alex Bespalov; Leonardo Rocchi (SIAM/ASA J. Uncertain. Quantification, 2018)

Convergence of Adaptive Stochastic Galerkin FEM. - Alex Bespalov; Dirk Praetorius; Leonardo Rocchi; Michele Ruggeri (SIAM J. Numer. Anal., 2019)

Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation. - Adam J. Crowder; Catherine E. Powell; Alexei Bespalov (SIAM J. Sci. Comput., 2019)

A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: Beyond the affine case. - Alex Bespalov; Feng Xu (Comput. Math. Appl., 2020)

Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM. - Alex Bespalov; Dirk Praetorius; Michele Ruggeri (CoRR, 2020)

T-IFISS: a toolbox for adaptive FEM computation. - Alex Bespalov; Leonardo Rocchi; David J. Silvester (Comput. Math. Appl., 2021)

Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method. - Alex Bespalov; Dirk Praetorius; Michele Ruggeri (SIAM/ASA J. Uncertain. Quantification, 2021)

Robust a posteriori error estimation for parameter-dependent linear elasticity equations. - Arbaz Khan; Alex Bespalov; Catherine E. Powell; David J. Silvester (Math. Comput., 2021)

Truncation Preconditioners for Stochastic Galerkin Finite Element Discretizations. - Alex Bespalov; Daniel Loghin; Rawin Youngnoi (SIAM J. Sci. Comput., 2021)

Goal-oriented adaptive multilevel stochastic Galerkin FEM. - Alex Bespalov; Dirk Praetorius; Michele Ruggeri (CoRR, 2022)

Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation. - Alex Bespalov; David J. Silvester; Feng Xu (SIAM J. Sci. Comput., 2022)

Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation. - Alex Bespalov; David J. Silvester (SIAM J. Sci. Comput., 2023)

Convergence analysis of the adaptive stochastic collocation finite element method. - Alex Bespalov; Andrey Savinov (CoRR, 2024)

Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM. - Alex Bespalov; Dirk Praetorius; Thomas Round; Andrey Savinov (SIAM/ASA J. Uncertain. Quantification, 2025)

An adaptive multimesh rational approximation scheme for the spectral fractional Laplacian. - Alex Bespalov; Raphaël Bulle (CoRR, 2025)