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ORCIDAlex Bespalov
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- affiliation: University of Birmingham, School of Mathematics, UK
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2020 – today
- 2024
[i8]Alex Bespalov, Andrey Savinov:
Convergence analysis of the adaptive stochastic collocation finite element method. CoRR abs/2401.14894 (2024)- [i7]Alex Bespalov, Dirk Praetorius, Thomas Round, Andrey Savinov:
Goal-Oriented Error Estimation and Adaptivity for Stochastic Collocation FEM. CoRR abs/2406.05028 (2024) - 2023
- [j21]Alex Bespalov
, David J. Silvester:
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part II: Multilevel Approximation. SIAM J. Sci. Comput. 45(2): 781- (2023) - 2022
- [j20]Alex Bespalov, David J. Silvester, Feng Xu:
Error Estimation and Adaptivity for Stochastic Collocation Finite Elements Part I: Single-Level Approximation. SIAM J. Sci. Comput. 44(5): 3393- (2022) - [i6]Alex Bespalov, David J. Silvester:
Error estimation and adaptivity for stochastic collocation finite elements Part II: multilevel approximation. CoRR abs/2202.08902 (2022) - [i5]Alex Bespalov, Dirk Praetorius, Michele Ruggeri:
Goal-oriented adaptive multilevel stochastic Galerkin FEM. CoRR abs/2208.09388 (2022) - 2021
- [j19]Alex Bespalov, Leonardo Rocchi, David J. Silvester:
T-IFISS: a toolbox for adaptive FEM computation. Comput. Math. Appl. 81: 373-390 (2021) - [j18]Alex Bespalov, Dirk Praetorius, Michele Ruggeri:
Two-Level a Posteriori Error Estimation for Adaptive Multilevel Stochastic Galerkin Finite Element Method. SIAM/ASA J. Uncertain. Quantification 9(3): 1184-1216 (2021) - [j17]Arbaz Khan, Alex Bespalov, Catherine E. Powell, David J. Silvester:
Robust a posteriori error estimation for parameter-dependent linear elasticity equations. Math. Comput. 90(328): 613-636 (2021) - [j16]Alex Bespalov, Daniel Loghin, Rawin Youngnoi:
Truncation Preconditioners for Stochastic Galerkin Finite Element Discretizations. SIAM J. Sci. Comput. 43(5): S92-S116 (2021) - [i4]Alex Bespalov, David J. Silvester, Feng Xu:
Error estimation and adaptivity for stochastic collocation finite elements Part I: single-level approximation. CoRR abs/2109.07320 (2021) - 2020
- [j15]Alex Bespalov, Feng Xu:
A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: Beyond the affine case. Comput. Math. Appl. 80(5): 1084-1103 (2020) - [i3]Alex Bespalov, Dirk Praetorius, Michele Ruggeri:
Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin FEM. CoRR abs/2006.02255 (2020) - [i2]Alex Bespalov, Daniel Loghin, Rawin Youngnoi:
Truncation Preconditioners for Stochastic Galerkin Finite Element Discretizations. CoRR abs/2006.06428 (2020)
2010 – 2019
- 2019
- [j14]Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, Michele Ruggeri:
Convergence of Adaptive Stochastic Galerkin FEM. SIAM J. Numer. Anal. 57(5): 2359-2382 (2019) - [j13]Adam J. Crowder, Catherine E. Powell, Alexei Bespalov:
Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation. SIAM J. Sci. Comput. 41(3): A1681-A1705 (2019) - [i1]Alex Bespalov, Leonardo Rocchi, David J. Silvester:
T-IFISS: a toolbox for adaptive FEM computation. CoRR abs/1908.05618 (2019) - 2018
- [j12]Alex Bespalov, Leonardo Rocchi:
Efficient Adaptive Algorithms for Elliptic PDEs with Random Data. SIAM/ASA J. Uncertain. Quantification 6(1): 243-272 (2018) - 2016
- [j11]Alexei Bespalov, Serge Nicaise:
A priori error analysis of the BEM with graded meshes for the electric field integral equation on polyhedral surfaces. Comput. Math. Appl. 71(8): 1636-1644 (2016) - [j10]Alexei Bespalov, Serge Nicaise:
The BEM with graded meshes for the electric field integral equation on polyhedral surfaces. Numerische Mathematik 132(4): 631-655 (2016) - [j9]Alexei Bespalov, David J. Silvester:
Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations. SIAM J. Sci. Comput. 38(4) (2016) - 2014
- [j8]Alexei Bespalov, Catherine Elizabeth Powell, David J. Silvester:
Energy Norm A Posteriori Error Estimation for Parametric Operator Equations. SIAM J. Sci. Comput. 36(2) (2014) - 2012
- [j7]Alexei Bespalov, Catherine Elizabeth Powell, David J. Silvester:
A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. SIAM J. Numer. Anal. 50(4): 2039-2063 (2012) - 2010
- [j6]Alexei Bespalov, Norbert Heuer, Ralf Hiptmair:
Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces. SIAM J. Numer. Anal. 48(4): 1518-1529 (2010)
2000 – 2009
- 2009
- [j5]Alexei Bespalov, Norbert Heuer:
Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions. SIAM J. Numer. Anal. 47(5): 3977-3989 (2009) - 2007
- [j4]Daniel Arroyo, Alexei Bespalov, Norbert Heuer:
On the finite element method for elliptic problems with degenerate and singular coefficients. Math. Comput. 76(258): 509-537 (2007) - [j3]Alexei Bespalov, Norbert Heuer:
The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces. Numerische Mathematik 106(1): 69-97 (2007) - 2005
- [j2]Alexei Bespalov, Norbert Heuer:
The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces. Numerische Mathematik 100(2): 185-209 (2005) - 2003
- [j1]Alexei Bespalov:
Orthogonal Systems of Singular Functions and Numerical Treatment of Problems with Degeneration of Data. Adv. Comput. Math. 19(1-3): 159-182 (2003)
Coauthor Index
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