Dirichlet-Neumann alternating algorithm for an exterior anisotropic quasilinear elliptic problem.

DOI10.1007/s10492-014-0055-5zbMath1340.65298OpenAlexW1985260524MaRDI QIDQ464708

Baoqing Liu, Qikui Du

Publication date: 29 October 2014

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

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143773

zbMATH Keywords

algorithmconvergencequasilinear elliptic equationnumerical examplesnatural boundary reductiondomain decomposition methodcircular artificial boundaryDirichlet-Neumann alternating algorithmnatural integral equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Quasilinear elliptic equations (35J62)

Cites Work

• A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle
• On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
• A note on the Neumann problem for a quasilinear elliptic problem of a nonmonotone type
• A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems
• Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for time-dependent problems over an unbounded domain
• Exact artificial boundary conditions for quasilinear elliptic equations in unbounded domains
• On a FEM--BEM Formulation for an Exterior Quasilinear Problem in the Plane
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