Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions

DOI10.1016/0377-0427(86)90141-XzbMath0596.30014MaRDI QIDQ1078352

Ruth J. Williams, Lloyd N. Threfethen

Publication date: 1986

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Brownian motionLaplace's equationHall effectSchwarz-Christoffel map

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Queueing theory (aspects of probability theory) (60K25) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30) Numerical methods for partial differential equations, boundary value problems (65N99)

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Uses Software

• SCPACK

Cites Work

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• A tandem storage system and its diffusion limit
• The stationary distribution of reflected Brownian motion in a planar region
• Classical free-streamline flow over a polygonal obstacle
• Recurrence classification and invariant measure for reflected Brownian motion in a wedge
• Reflected Brownian motion on an orthant
• Approximate behavior of tandem queues
• Boundary-value problems for partial differential equations in non-smooth domains
• Brownian motion in a wedge with oblique reflection
• Numerical Computation of the Schwarz–Christoffel Transformation
• The diffusion approximation for tandem queues in heavy traffic
• A Generalization of the Schwarz-Christoffel Transformation
• Solution of the Field Problem of the Germanium Gyrator

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