Variable order composite quadrature of singular and nearly singular integrals
From MaRDI portal
Publication:1337638
DOI10.1007/BF02252988zbMath0813.65057OpenAlexW1550884118MaRDI QIDQ1337638
Publication date: 28 May 1995
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02252988
Related Items
Numerical quadrature for high-dimensional singular integrals over parallelotopes, Adaptive boundary element methods. A posteriori error estimators, adaptivity, convergence, and implementation, A fast solver for integral equations with convolution-type kernel, Computing highly oscillatory integrals, Almost Complete Analytical Integration in Galerkin Boundary Element Methods, Convergence of adaptive BEM for some mixed boundary value problem, Estimator reduction and convergence of adaptive BEM, Fast collocation methods for high-dimensional weakly singular integral equations, Quadrature algorithms for high dimensional singular integrands on simplices, A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling, Semi-analytic treatment of nearly-singular Galerkin surface integrals, Fully discrete wavelet Galerkin schemes., Algorithmic aspects of enriched time domain boundary element methods, A Nash-Hörmander iteration and boundary elements for the Molodensky problem, Optimal convergence estimates for the trace of the polynomial $L^{2}$-projection operator on a simplex, The computation of potentials near and on the boundary by an extraction technique for boundary element methods, A high-order finite element technique with automatic treatment of stress singularities by semi-analytical enrichment, Computing integrals involved the Gaussian function with a small standard deviation, A second-kind Galerkin boundary element method for scattering at composite objects, Numerical calculation of weakly singular surface integrals, A posteriori error analysis for a class of integral equations and variational inequalities, A fast wavelet collocation method for integral equations on polygons, Hierarchical quadrature for singular integrals, A new smoothing strategy for computing nearly singular integrals in 3D Galerkin BEM, Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing, Multiparameter regularization for Volterra kernel identification via multiscale collocation methods, Quadrature methods for 2D and 3D problems, On the extraction technique in boundary integral equations, Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement, \(hp\) boundary element modeling of the external human auditory system -- goal-oriented adaptivity with multiple load vectors.
Cites Work
- Unnamed Item
- The h-p version of the finite element method. I. The basic approximation results
- On optimal global error bounds obtained by scaled local error estimates
- On numerical cubatures of singular surface integrals in boundary element methods
- Numerical evaluation of singular and finite-part integrals on curved surfaces using symbolic manipulation
- On numerical cubatures of nearly singular surface integrals arising in BEM collocation
- The Approximation Theory for thep-Version of the Finite Element Method
- Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
- Quadrature Error Functional Expansions for the Simplex When the Integrand Function has Singularities at Vertices
- Kernel Properties and Representations of Boundary Integral Operators
- Some notes on singular integral techniques in boundary element analysis