Efficient Adaptive Stochastic Galerkin Methods for Parametric Operator Equations

Autor: David J. Silvester, Alexei Bespalov

Publikováno v: Bespalov, A & Silvester, D 2016, ' Efficient adaptive stochastic Galerkin methods for parametric operator equations ', SIAM Journal on Scientific Computing, vol. 38, no. 4, pp. A2118-A2140 . https://doi.org/10.1137/15M1027048

This paper is concerned with the design and implementation of efficient solution algorithms for elliptic PDE problems with correlated random data. The energy orthogonality that is built into stochastic Galerkin approximations is cleverly exploited to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51586c9c59230b8a20b7f99c4c6c4d24
https://doi.org/10.1137/15m1027048

A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data

Autor: Alexei Bespalov, David J. Silvester, Catherine E. Powell

Publikováno v: SIAM Journal on Numerical Analysis. 50:2039-2063

We construct stochastic Galerkin approximations to the solution of a first-order system of PDEs with random coefficients. Under the standard finite-dimensional noise assumption, we transform the variational saddle point problem to a parametric determ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0e69fdcd8bbd1961e9fe4e89803e353c
https://doi.org/10.1137/110854898

Natural p-BEM for the electric field integral equation on screens

Autor: Norbert Heuer, Alexei Bespalov

Publikováno v: IMA Journal of Numerical Analysis. 30:595-628

In this paper we analyse the p-version of the boundary element method for the electric field integral equation on a plane open surface with polygonal boundary. We prove the convergence of the p-version with Raviart-Thomas parallelogram elements and d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a103e8be5e024901e202038afe73f4e5
https://doi.org/10.1093/imanum/drn072

The hp-version of the boundary element method with quasi-uniform meshes for weakly singular operators on surfaces

Autor: Alexei Bespalov, Norbert Heuer

Publikováno v: IMA Journal of Numerical Analysis. 30:377-400

We prove an a priori error estimate for the hp-version of the boundary element method with weakly singular operators in three dimensions. The underlying meshes are quasi-uniform. Our model problem is that of the Laplacian exterior to an open surface,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b9c3ccf8940eafbb01b58985a534e61e
https://doi.org/10.1093/imanum/drn052

Thehp-version of the BEM with quasi-uniform meshes for a three-dimensional crack problem: The case of a smooth crack having smooth boundary curve

Autor: Alexei Bespalov

Publikováno v: Numerical Methods for Partial Differential Equations. 24:1159-1180

The article considers a three-dimensional crack problem in linear elasticity with Dirichlet boundary conditions. The crack in this model problem is assumed to be a smooth open surface with smooth boundary curve. The hp-version of the boundary element

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::195085f2479a424060867e0991dc5091
https://doi.org/10.1002/num.20311