Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems

DOI10.1016/0893-9659(88)90097-3zbMath0656.65097OpenAlexW2044289253MaRDI QIDQ1110285

Aron Jazcilevich, Thomas M. Hagstrom, Reginald P. Tewarson

Publication date: 1988

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(88)90097-3

zbMATH Keywords

parallel processorsdomain decomposition algorithmchoice of boundary conditionsglobal Newton-type iterative schemeSchur complement problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Parallel numerical computation (65Y05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (18)

Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients ⋮ Optimized interface conditions in domain decomposition methods to solve reaction-diffusion problems with strong heterogeneity in the coefficients in a sectorial domain ⋮ Schwarz methods by domain truncation ⋮ Multidirectional sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems ⋮ A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation ⋮ Algorithms for Propagating Uncertainty Across Heterogeneous Domains ⋮ Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field ⋮ Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains ⋮ A unified framework for double sweep methods for the Helmholtz equation ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ A NEW INTERFACE CEMENT EQUILIBRATED MORTAR (NICEM) METHOD WITH ROBIN INTERFACE CONDITIONS: THE P₁ FINITE ELEMENT CASE ⋮ A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains ⋮ A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems ⋮ On block triangular preconditioned iteration methods for solving the Helmholtz equation ⋮ Improved interface conditions for 2D domain decomposition with corners: A theoretical determination ⋮ A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems ⋮ Optimized Schwarz Method with Complete Radiation Transmission Conditions for the Helmholtz Equation in Waveguides ⋮ Optimized Schwarz methods for a diffusion problem with discontinuous coefficient

Cites Work

• A note on solution of large sparse systems of nonlinear equations
• The Construction of Preconditioners for Elliptic Problems by Substructuring. II
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• Unnamed Item

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