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

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical quadrature and cubature formulas (65D32) Boundary element methods for boundary value problems involving PDEs (65N38) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A fast direct solver for the integral equations of scattering theory on planar curves with corners
Universal quadratures for boundary integral equations on two-dimensional domains with corners
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 sinc quadrature method for the double-layer integral equation in planar domains with corners
On the solution of elliptic partial differential equations on regions with corners. II: Detailed analysis
A fast multiscale Galerkin method for solving a boundary integral equation in a domain with corners
Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries
Computing the Newton potential in the boundary integral equation for the Dirichlet problem of the Poisson equation
Efficient discretization of Laplace boundary integral equations on polygonal domains
A Nyström method for a boundary integral equation related to the Dirichlet problem on domains with corners
On the solution of elliptic partial differential equations on regions with corners
Fast discrete algorithms for sparse Fourier expansions of high dimensional functions
A Fast and Stable Solver for Singular Integral Equations on Piecewise Smooth Curves
Product Integration-Collocation Methods for Noncompact Integral Operator Equations
Iterative Solution of Linear Systems Arising from the Boundary Integral Method
Fast Algorithms for Partial Fraction Decomposition
A construction of interpolating wavelets on invariant sets
The Numerical Solution of Integral Equations of the Second Kind
The Laplace Equation
Galerkin's method for boundary integral equations on polygonal domains
The Numerical Solution of Laplace's Equation on a Wedge
Multiscale Methods for Fredholm Integral Equations
Sparse grids
Linear integral equations

This page was built for publication: A fully discrete high-order fast multiscale Galerkin method for solving boundary integral equations in a domain with corners