A Highly Scalable Boundary Integral Equation and Walk-On-Spheres (BIE-WOS) Method for the Laplace Equation with Dirichlet Data
DOI10.4208/cicp.OA-2020-0099zbMath1473.65351OpenAlexW3152359659WikidataQ114249060 ScholiaQ114249060MaRDI QIDQ5163232
Changhao Yan, Xuan Zeng, Wei Cai
Publication date: 3 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2020-0099
Dirichlet problemMonte Carlo methodLaplace equationboundary integral equationsmeshless methodsDirichlet-to-Neumann (DtN) mappingparallel BIE-WOS methodwalk-on-spheres (WOS)
Monte Carlo methods (65C05) Parallel numerical computation (65Y05) Numerical methods for partial differential equations, boundary value problems (65N99) Integro-partial differential equations (35R09)
Related Items (1)
Uses Software
Cites Work
- The random walk on the boundary method for calculating capacitance
- \(\varepsilon\)-shell error analysis for ``walk on spheres algorithms
- A Parallel Method for Solving Laplace Equations with Dirichlet Data Using Local Boundary Integral Equations and Random Walks
- Some Continuous Monte Carlo Methods for the Dirichlet Problem
- The Numerical Solution of Integral Equations of the Second Kind
- Functional Integration and Partial Differential Equations. (AM-109)
- A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
- A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
- A Simple Mesh Generator in MATLAB
- Random Walk on Spheres Process for Exterior Dirichlet Problem
- Preface
- Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects
- The computational geometry algorithms library CGAL
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