Fourth order accurate evaluation of integrals in potential theory on exterior 3D regions
From MaRDI portal
Publication:868250
DOI10.1016/j.jcp.2006.05.042zbMath1109.65028OpenAlexW2003420438MaRDI QIDQ868250
Publication date: 19 February 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.05.042
numerical resultspotential theoryRichardson extrapolationquadrature methodshigh orderintegrals and their derivativesunbounded 3D regions
Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Related Items
A kernel-free boundary integral method for implicitly defined surfaces ⋮ High order solution of Poisson problems with piecewise constant coefficients and interface jumps ⋮ A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems ⋮ A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions ⋮ Fast immersed interface Poisson solver for 3D unbounded problems around arbitrary geometries ⋮ Fast integral equation methods for Rothe's method applied to the isotropic heat equation ⋮ A fast algorithm for quadrature by expansion in three dimensions ⋮ Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities ⋮ Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning ⋮ On the evaluation of layer potentials close to their sources ⋮ MIB method for elliptic equations with multi-material interfaces ⋮ Spectral element method for three dimensional elliptic problems with smooth interfaces ⋮ Computational methods for optical molecular imaging
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the numerical solution of the biharmonic equation in the plane
- On the accuracy of finite difference methods for elliptic problems with interfaces.
- Rapid methods for the conformal mapping of multiply connected regions
- Rapid solution of integral equations of classical potential theory
- A computational model of aquatic animal locomotion
- A three-dimensional computational method for blood flow in the heart. I: Immersed elastic fibers in a viscous incompressible fluid
- On the difficulty of triangulating three-dimensional nonconvex polyhedra
- The rapid evaluation of volume integrals of potential theory on general regions
- The solution of Poisson's equation for isolated source distributions
- Rapid parallel evaluation of integrals in potential theory on general three-dimensional regions
- A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
- A fast solver for the Stokes equations with distributed forces in complex geometries.
- A fast Poisson solver for complex geometries
- Integral equation methods for Stokes flow and isotropic elasticity in the plane
- A direct adaptive Poisson solver of arbitrary order accuracy
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- Analytic inversion of the five-point Poisson operator
- A New Fast-Multipole Accelerated Poisson Solver in Two Dimensions
- Fast Parallel Iterative Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- Asymptotic Expansion of the Free-space Green's Function for the Discrete 3-D Poisson Equation
- Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
- The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions
- A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
- The Direct Solution of the Discrete Poisson Equation on Irregular Regions
- The immersed interface method for the Navier-Stokes equations with singular forces