Fast High Order Accurate Solution of Laplace’s Equation on Irregular Regions

From MaRDI portal
Publication:5185960

DOI10.1137/0906012zbMath0559.65082OpenAlexW2088156497MaRDI QIDQ5185960

Anita Mayo

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



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