An optimization based domain decomposition method for partial differential equations

DOI10.1016/S0898-1221(99)00127-3zbMath0941.65123MaRDI QIDQ1963036

Max D. Gunzburger, Hyesuk Kwon Lee, Janet S. Peterson

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmdiscontinuous coefficientsdomain decompositionnumerical experimentsparallel computationfinite element methodsgradient methodoptimization techniques

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

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Cites Work

• Finite element approximation of the Navier-Stokes equations
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Convergence of a substructuring method with Lagrange multipliers
• An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• Domain Decomposition Methods in Scientific and Engineering Computing
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