The Numerical Solution of the Biharmonic Equation by Conformal Mapping
From MaRDI portal
Publication:4376257
DOI10.1137/S1064827595292710zbMath0888.30006OpenAlexW2040270395MaRDI QIDQ4376257
Mark A. Horn, Thomas K. Delillo, Raymond Honfu Chan
Publication date: 10 February 1998
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s1064827595292710
General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Schwarz-Christoffel-type mappings (30C30)
Related Items
Sinc-Galerkin method for solving biharmonic problems ⋮ Numerical conformal mapping methods based on Faber series ⋮ A complex-valued first integral of Navier-Stokes equations: Unsteady Couette flow in a corrugated channel system ⋮ A fast finite difference method for biharmonic equations on irregular domains and its application to an incompressible Stokes flow ⋮ A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order ⋮ A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation ⋮ A high-order kernel-free boundary integral method for the biharmonic equation on irregular domains ⋮ A nonholonomic approach to isoparallel problems and some applications ⋮ Approximation methods for the Muskhelishvili equation on smooth curves ⋮ Lightning Stokes Solver
