Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions
From MaRDI portal
Publication:5185960
DOI10.1137/0906012zbMath0559.65082OpenAlexW2088156497MaRDI QIDQ5185960
Publication date: 1985
Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0906012
Poisson's equationboundary integral equation methodLaplace's equationirregular regionssmooth boundaries
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
A sharp interface finite volume method for elliptic equations on Cartesian grids, A coupling interface method for elliptic interface problems, A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations, Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces, A kernel-free boundary integral method for implicitly defined surfaces, Partially implicit motion of a sharp interface in Navier-Stokes flow, A kernel-free boundary integral method for elliptic PDEs on a doubly connected domain, A kernel-free boundary integral method for the nonlinear Poisson-Boltzmann equation, Sharp error estimates of a fourth‐order compact scheme for a Poisson interface problem, Simulation of heat conduction in complex domains of multi-material composites using a meshless method, Kernel free boundary integral method for 3D incompressible flow and linear elasticity equations on irregular domains, A Discontinuous Galerkin Method by Patch Reconstruction for Elliptic Interface Problem on Unfitted Mesh, An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media, A correction function-based kernel-free boundary integral method for elliptic PDEs with implicitly defined interfaces, Accurate computation of Stokes flow driven by an open immersed interface, A weak formulation for solving elliptic interface problems without body fitted grid, A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization, Two-fluid model of biofilm disinfection, A boundary condition capturing method for Poisson's equation on irregular domains, A kernel-free boundary integral method for elliptic boundary value problems, A high-order source removal finite element method for a class of elliptic interface problems, The rapid evaluation of volume integrals of potential theory on general regions, A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells, Computation of volume potentials on structured grids with the method of local corrections, A fourth-order kernel-free boundary integral method for the modified Helmholtz equation, On the evaluation of layer potentials close to their sources, A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions, A numerical method for solving variable coefficient elliptic equation with interfaces, Methods for computing singular and nearly singular integrals, On the accuracy of finite element approximations to a class of interface problems, Immersed hybrid difference methods for elliptic boundary value problems by artificial interface conditions, Harmonic density interpolation methods for high-order evaluation of Laplace layer potentials in 2D and 3D, Aliasing and two-dimensional well-balanced for drift-diffusion equations on square grids, Corrected finite element methods on unfitted meshes for Stokes moving interface problem, A new patch up technique for elliptic partial differential equation with irregularities, A boundary element method for Laplace's equation without numerical integrations, Reconstruction of some potentials used in the boundary element method