Boundary element methods for potential problems with nonlinear boundary conditions

DOI10.1090/S0025-5718-00-01266-7zbMath0971.65107OpenAlexW2090178263MaRDI QIDQ2719063

Mahadevan Ganesh, Olaf Steinbach

Publication date: 14 May 2001

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-00-01266-7

zbMATH Keywords

error estimatesNewton methodpreconditionersnonlinear boundary conditionsSteklov-Poincaré operatorGalerkin boundary element methodshypersingular operator boundary integral equationspotential type problems

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition ⋮ Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators ⋮ A new approach to solve multi-medium nonlinear transient heat conduction problems using interface integration BEM ⋮ Nonlinear boundary integral equations for harmonic problems ⋮ The numerical solution of a nonlinear hypersingular boundary integral equation ⋮ On the finite element analysis of problems with nonlinear Newton boundary conditions in nonpolygonal domains. ⋮ Error estimates for the finite element solution of elliptic problems with nonlinear newton boundary conditions ⋮ On the effect of numerical integration in the finite element solution of an elliptic problem with a nonlinear Newton boundary condition.

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