Publications of Alex Bespalov
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Publications in Refereed Journals and Conference Proceedings
Preprints submitted for publication -
My Publications and My Profile on MathSciNet
Publications in Refereed Journals
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A priori error analysis of stochastic Galerkin mixed approximations
of elliptic PDEs with random data
(with C. Powell and D. Silvester).
SIAM Journal on Numerical Analysis, Vol. 50 (2012), no. 4, pp. 2039-2063.
Link to the paper -
A framework for the development of implicit solvers for incompressible flow problems
(with D. Silvester and C. Powell).
Discrete and Continuous Dynamical Systems - Series S, Vol. 5 (2012), no. 6, pp. 1195-1221.
Link to the paper -
Natural hp-BEM for the electric field integral equation with singular
solutions (with N. Heuer).
Numerical Methods for Partial Differential Equations, Vol. 28 (2012), Issue 5, pp. 1466-1480.
Link to the paper -
A new H(div)-conforming p-interpolation operator in two dimensions
(with N. Heuer).
ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 45 (2011), no. 2, pp. 255-275.
Link to the paper -
Convergence of the natural hp-BEM for the
electric field integral equation on polyhedral surfaces
(with N. Heuer and R. Hiptmair).
SIAM Journal on Numerical Analysis, Vol. 48 (2010), no. 4, pp. 1518-1529.
Link to the paper -
Natural p-BEM for the electric field integral equation on screens
(with N. Heuer).
IMA Journal of Numerical Analysis, Vol. 30 (2010), no. 3, pp. 595-628.
Link to the paper -
The hp-BEM with quasi-uniform meshes for the electric field integral
equation on polyhedral surfaces: a priori error analysis (with N. Heuer).
Applied Numerical Mathematics, Vol. 60 (2010), Issue 7, pp. 705-718.
Link to the paper -
The hp-version of the boundary element method with quasi-uniform
meshes for weakly singular operators on surfaces (with N. Heuer).
IMA Journal of Numerical Analysis, Vol. 30 (2010), no. 2, pp. 377-400.
Link to the paper -
Optimal error estimation for H(curl)-conforming p-interpolation
in two dimensions (with N. Heuer).
SIAM Journal on Numerical Analysis, Vol. 47 (2009), Issue 5, pp. 3977-3989.
Link to the paper -
A note on the polynomial approximation of vertex singularities in boundary
element methods in three dimensions.
Journal of Integral Equations and Applications, Vol. 21 (2009), no. 3, pp. 359-380.
Link to the paper -
The hp-version of the boundary element method with quasi-uniform
meshes in three dimensions (with N. Heuer).
ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 42 (2008), no. 5, pp. 821-849.
Link to the paper -
The hp-version of the BEM with quasi-uniform meshes for a
three-dimensional crack problem: the case of a smooth crack having smooth
boundary curve.
Numerical Methods for Partial Differential Equations, Vol. 24 (2008), no. 4, pp. 1159-1180.
Link to the paper -
The p-version of the boundary element method for weakly
singular operators on piecewise plane open surfaces
(with N. Heuer).
Numerische Mathematik, Vol. 106 (2007), no. 1, pp. 69-97.
Link to the paper -
On the finite element method for elliptic problems with degenerate and
singular coefficients (with D. Arroyo and N. Heuer).
Mathematics of Computation, Vol. 76 (2007), no. 258, pp. 509-537.
Link to the paper -
The p-version of the boundary element method for a three-dimensional
crack problem (with N. Heuer).
Journal of Integral Equations and Applications, Vol. 17 (2005), no. 3, pp. 243-258.
Link to the paper -
The p-version of the boundary element method for hypersingular operators
on piecewise plane open surfaces (with N. Heuer).
Numerische Mathematik, Vol. 100 (2005), no. 2, pp. 185-209.
Link to the paper -
Orthogonal systems of singular functions and numerical treatment of problems
with degeneration of data.
Advances in Computational Mathematics, Vol. 19 (2003), nos. 1-3, pp. 159-182.
Link to the paper -
The use of singular functions in the h-p version of the finite element
method for the Dirichlet problem with degeneration of input data
(with V. A. Rukavishnikov).
Siberian Journal of Numerical Mathematics, Vol. 4 (2001), no. 3, pp. 201-228. -
The exponential rate of convergence of the finite element method for the
Dirichlet problem with singularity of the solution
(with V. A. Rukavishnikov).
Dokl. Russ. Acad. Nauk, Vol. 374 (2000), no. 6, pp. 727-731.
English translation in: Russian Acad. Sci. Doklady Mathematics, Vol. 62 (2000), no. 2, pp. 266-270. -
On the h-p version of the finite element method for one-dimensional
boundary value problem with singularity of a solution
(with V. A. Rukavishnikov).
Siberian Journal of Numerical Mathematics, Vol. 1 (1998), no. 2, pp. 153-170.
Preprints submitted for publication
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A posteriori error estimation for parametric operator equations
with applications to PDEs with random data
(with C. E. Powell and D. Silvester).
MIMS EPrint 2013.16, Manchester Institute for Mathematical Sciences, The University of Manchester, UK, April 2013.
Link to the preprint
Publications in Refereed Conference Proceedings
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High-order boundary element method for electromagnetic
scattering at non-smooth surfaces (with N. Heuer).
"Proceedings of the 10-th International Conference on the Mathematical and Numerical Aspects of Waves; Vancouver, Canada, July 25-29, 2011", ed. by N. Nigam, Pacific Institute for the Mathematical Sciences, Canada, 2011, pp. 121-124. -
The p-version of the boundary element method for mixed boundary value
problems on polyhedra (with N. Heuer).
"Advances in Boundary Integral Methods, Proceedings of the 5th UK Conference on Boundary Integral Methods", ed. by K. Chen, University of Liverpool, UK, 2005, pp. 145-152. -
Optimal a priori error estimate for the p-version of the BEM on open
surfaces (with N. Heuer).
"Proceedings of the International Conference on Computational Mathematics, ICCM-2004. Part II", ed. by G. A. Mikhailov, V. P. Il'in, and Y. M. Laevsky, ICM&MG Publishers, Novosibirsk, Russia, 2004, pp. 794-799. -
An exponential rate of convergence of the finite element method for the
Dirichlet problem with singularity of a solution (with V. A. Rukavishnikov).
"ENUMATH-99. Proceedings of the Third European Conference on Numerical Mathematics and Advanced Applications, Jyvaskyla, Finland, July 26-30, 1999", ed. by P. Neittaanmaki, T. Tiihonen and P. Tarvainen, World Scientific, Singapore, 2000, pp. 681-689. -
On the h-p version of the finite element method using singular
functions (with V. A. Rukavishnikov).
"The Far-Eastern School-Seminar on Mathematical Modeling and Numerical Analysis. The Proceedings &Abstracts", ed. by V. A. Rukavishnikov, Khabarovsk, 1999, pp. 6-13.
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