A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation
type: Item
instance of: scholarly article
title: A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation
zbMATH Open document ID: 1401.31011
author: Ying Jiang
author: Bo Wang
author: Yuesheng Xu
published in: Journal of Scientific Computing
publication date: 2018-09-28T00:00:00Z
Mathematics Subject Classification ID: 31A30
Mathematics Subject Classification ID: 31A25
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 6945488
zbMATH Keywords: biharmonic equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: fast Fourier-Galerkin method
MaRDI profile type: Publication
full work available at URL: s10915-018-0688-8
OpenAlex ID: W2794326982
cites work: Q4865314
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: A Mixed Method for the Biharmonic Problem Based On a System of First-Order Equations
cites work: A Compact Difference Scheme for the Biharmonic Equation in Planar Irregular Domains
cites work: A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
cites work: A fast solver for the orthogonal spline collocation solution of the biharmonic Dirichlet problem on rectangles
cites work: Direct and inverse error estimates for finite elements with mesh refinements
cites work: Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps
cites work: The Fractional Fourier Transform and Applications
cites work: BEM with linear complexity for the classical boundary integral operators
cites work: An Optimal-Order Nonconforming Multigrid Method for the Biharmonic Equation
cites work: Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes
cites work: The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
cites work: Sparse grids
cites work: A Fast Fourier–Galerkin Method for Solving Singular Boundary Integral Equations
cites work: The Numerical Solution of the Biharmonic Equation by Conformal Mapping
cites work: Superlinear Convergence Estimates for a Conjugate Gradient Method for the Biharmonic Equation
cites work: Q4248804
cites work: A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow
cites work: A construction of interpolating wavelets on invariant sets
cites work: Multiscale Methods for Fredholm Integral Equations
cites work: Q5314382
cites work: Q4463092
cites work: A discrete Galerkin method for a hypersingular boundary integral equation
cites work: An Algorithm for the Machine Calculation of Complex Fourier Series
cites work: An Unconstrained Mixed Method for the Biharmonic Problem
cites work: Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross
cites work: Nonequispaced Hyperbolic Cross Fast Fourier Transform
cites work: Some Difference Schemes for the Biharmonic Equation
cites work: Finite volume schemes for the biharmonic problem on general meshes
cites work: Information complexity of multivariate Fredholm integral equations in Sobolev classes
cites work: Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids
cites work: A mimetic iterative scheme for solving biharmonic equations
cites work: On the numerical solution of the biharmonic equation in the plane
cites work: Mixed discontinuous Galerkin finite element method for the biharmonic equation
cites work: Multigrid Preconditioning for the Biharmonic Dirichlet Problem
cites work: New boundary element formulas for the biharmonic equation
cites work: New indirect scalar boundary integral equation formulas for the biharmonic equation
cites work: A Fast Fourier--Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation
cites work: Fast discrete algorithms for sparse Fourier expansions of high dimensional functions
cites work: Fast Fourier-Galerkin methods for solving singular boundary integral equations: Numerical integration and precondition
cites work: Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids
cites work: Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling
cites work: Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
cites work: Linear integral equations.
cites work: A-priori analysis and the finite element method for a class of degenerate elliptic equations
cites work: Modified Euler's method with a graded mesh for a class of Volterra integral equations with weakly singular kernel
cites work: A Spectral Galerkin Method for a Boundary Integral Equation
cites work: The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: Fast Parallel Iterative Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
cites work: Q4064471
cites work: Q4340161
cites work: Q2761249
cites work: Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
cites work: Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
cites work: The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by finite Differences. I
cites work: The Coupled Equation Approach to the Numerical Solution of the Biharmonic Equation by Finite Differences. II
cites work: Single cell discretizations of order two and four for biharmonic problems
cites work: Q3027578
cites work: An extrapolation method for a class of boundary integral equations
cites work: Quadratures for boundary integral equations of the first kind with logarithmic kernels

A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation (DOI)
DOI: 10.1007/S10915-018-0688-8