On the Numerical Solution of Elliptic Partial Differential Equations on Polygonal Domains

DOI10.1137/18M1199034zbMath1426.65212OpenAlexW2968022604WikidataQ127369587 ScholiaQ127369587MaRDI QIDQ5230660

Jeremy G. Hoskins, Kirill Serkh, Vladimir Rokhlin

Publication date: 28 August 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1199034

zbMATH Keywords

boundary value problemsboundary integral equationLaplace equationpolygonal domainhigh-order Nyström methodhigh-order solver for Laplace equationsingularities near the corners

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (5)

A robust solver for elliptic PDEs in 3D complex geometries ⋮ An FMM Accelerated Poisson Solver for Complicated Geometries in the Plane Using Function Extension ⋮ On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains ⋮ Towards optimal gradient bounds for the torsion function in the plane ⋮ Numerical solution for the stress near a hole with corners in an infinite plate under biaxial loading

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