A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners

DOI10.1216/jie.2021.33.193zbMath1481.65243OpenAlexW3198244235MaRDI QIDQ1980424

Ying Jiang, Xiangling Chen

Publication date: 8 September 2021

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie.2021.33.193

zbMATH Keywords

boundary integral equationdomains with cornersfast Galerkin methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (1)

A fully discrete high-order fast multiscale Galerkin method for solving boundary integral equations in a domain with corners

Cites Work

• A fast direct solver for the integral equations of scattering theory on planar curves with corners
• Fast construction of hierarchical matrix representation from matrix-vector multiplication
• On the Nyström discretization of integral equations on planar curves with corners
• A Nyström method for boundary integral equations in domains with corners
• Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
• A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners
• On the numerical solution of a boundary integral equation for the exterior Neumann problem on domains with corners
• Fast numerical collocation solutions of integral equations
• On the solution of the Helmholtz equation on regions with corners
• A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations
• The Numerical Solution of Integral Equations of the Second Kind
• A Fast Fourier--Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation
• Multiscale Methods for Fredholm Integral Equations
• A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization
• Linear integral equations

This page was built for publication: A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners