Energy norm a posteriori error estimation for parametric operator equations A Bespalov, CE Powell, D Silvester SIAM Journal on Scientific Computing 36 (2), A339-A363, 2014 | 67 | 2014 |
Adaptive FEM with coarse initial mesh guarantees optimal convergence rates for compactly perturbed elliptic problems A Bespalov, A Haberl, D Praetorius Computer Methods in Applied Mechanics and Engineering 317, 318-340, 2017 | 59 | 2017 |
Efficient adaptive stochastic Galerkin methods for parametric operator equations A Bespalov, D Silvester SIAM Journal on Scientific Computing 38 (4), A2118-A2140, 2016 | 47 | 2016 |
Efficient adaptive multilevel stochastic Galerkin approximation using implicit a posteriori error estimation AJ Crowder, CE Powell, A Bespalov SIAM Journal on Scientific Computing 41 (3), A1681-A1705, 2019 | 34 | 2019 |
Convergence of the natural hp-BEM for the electric field integral equation on polyhedral surfaces A Bespalov, N Heuer, R Hiptmair SIAM Journal Numerical Analysis 48 (4), 1518-1529, 2011 | 30 | 2011 |
Convergence of adaptive stochastic Galerkin FEM A Bespalov, D Praetorius, L Rocchi, M Ruggeri SIAM Journal on Numerical Analysis 57 (5), 2359-2382, 2019 | 29 | 2019 |
Goal-oriented error estimation and adaptivity for elliptic PDEs with parametric or uncertain inputs A Bespalov, D Praetorius, L Rocchi, M Ruggeri Computer Methods in Applied Mechanics and Engineering 345, 951-982, 2019 | 28 | 2019 |
Efficient adaptive algorithms for elliptic PDEs with random data A Bespalov, L Rocchi SIAM/ASA Journal on Uncertainty Quantification 6 (1), 243-272, 2018 | 26 | 2018 |
A priori error analysis of stochastic Galerkin mixed approximations of elliptic PDEs with random data A Bespalov, CE Powell, D Silvester SIAM Journal on Numerical Analysis 50 (4), 2039-2063, 2012 | 26 | 2012 |
The hp-version of the boundary element method with quasi-uniform meshes in three dimensions A Bespalov, N Heuer ESAIM: Mathematical Modelling and Numerical Analysis 42 (5), 821-849, 2008 | 26 | 2008 |
On the finite element method for elliptic problems with degenerate and singular coefficients D Arroyo, A Bespalov, N Heuer Mathematics of Computation 76 (258), 509-537, 2007 | 25 | 2007 |
The p-version of the boundary element method for hypersingular operators on piecewise plane open surfaces A Bespalov, N Heuer Numerische Mathematik 100, 185-209, 2005 | 23 | 2005 |
T-IFISS: a toolbox for adaptive FEM computation A Bespalov, L Rocchi, D Silvester Computers & Mathematics with Applications 81, 373-390, 2021 | 18 | 2021 |
Adaptive BEM with optimal convergence rates for the Helmholtz equation A Bespalov, T Betcke, A Haberl, D Praetorius Computer Methods in Applied Mechanics and Engineering 346, 260-287, 2019 | 17 | 2019 |
The p-version of the boundary element method for weakly singular operators on piecewise plane open surfaces A Bespalov, N Heuer Numerische Mathematik 106 (1), 69-97, 2007 | 17 | 2007 |
An exponential rate of convergence of the finite element method for the Dirichlet problem with singularity of a solution VA Rukavishnikov, AY Bespalov Numerical Mathematics and Advanced Applications, 681-689, 2000 | 17 | 2000 |
Optimal error estimation for H (curl)-conforming p-interpolation in two dimensions A Bespalov, N Heuer SIAM Journal Numerical Analysis 47 (5), 3977-3989, 2009 | 14 | 2009 |
A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: beyond the affine case A Bespalov, F Xu Computers & Mathematics with Applications 80 (5), 1084-1103, 2020 | 12 | 2020 |
The hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces: a priori error analysis A Bespalov, N Heuer Applied numerical mathematics 60 (7), 705-718, 2010 | 12 | 2010 |
Natural p-BEM for the electric field integral equation on screens A Bespalov, N Heuer IMA journal of numerical analysis 30 (3), 595-628, 2010 | 12 | 2010 |