The Dirichlet problem for the Laplace equation in a starlike domain of a Riemann surface

DOI10.1007/s11075-008-9201-zzbMath1163.35353OpenAlexW2039380591MaRDI QIDQ1014764

Pierpaolo Natalini, Roberto Patrizi, Paolo Emilio Ricci

Publication date: 29 April 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9201-z

zbMATH Keywords

Dirichlet problemLaplace equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Solutions to PDEs in closed form (35C05)

Related Items

Rational Mechanics and Science Rationnelle Unique ⋮ The Neumann problem for the Helmholtz equation in a starlike planar domain ⋮ Gielis' superformula and regular polygons

Cites Work

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• Solution of the dirichlet problem for the Laplace equation in irregular regions: Comparison of different methods
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type