The alternating Schwarz method applied to some biharmonic variational inequalities

DOI10.1007/BF02576147zbMath0725.65034MaRDI QIDQ2277766

F. Scarpini

Publication date: 1990

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

convergencemixed finite element methodSchwarz iterationplate problemsbiharmonic variational inequalities

Mathematics Subject Classification ID

Related Items (13)

Additive Schwarz preconditioners for C⁰ interior penalty methods for the obstacle problem of clamped Kirchhoff plates ⋮ Additive Schwarz preconditioners for the obstacle problem of clamped Kirchhoff plates ⋮ On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators ⋮ Generalized Schwarz algorithm for obstacle problems ⋮ Overlapping restricted additive Schwarz method with damping factor for \(H\)-matrix linear complementarity problem ⋮ Weighted max-norm estimate of additive schwarz methods for solving nonlinear complementarity problems ⋮ Convergence analysis of generalized Schwarz algorithms for solving obstacle problems with \(T\)-monotone operator ⋮ Weighted max-norm estimate of additive Schwarz iteration scheme for solving linear complementarity problems ⋮ A multiplicative multisplitting method for solving the linear complementarity problem ⋮ A MULTIPLICATIVE SCHWARZ ALGORITHM FOR THE NONLINEAR COMPLEMENTARITY PROBLEM WITH ANM-FUNCTION ⋮ A multiplicative Schwarz iteration scheme for solving the linear complementarity problem with an \(H\)-matrix ⋮ The Schwarz alternating method in solid mechanics ⋮ Schwarz algorithm for the solution of variational inequalities with nonlinear source terms

Cites Work

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• The free boundary for a fourth order variational inequality
• Some algorithms solving the unilateral Dirichlet problem with two constraints
• The two-obstacle problem for the biharmonic operator
• The constrained elastic beam
• Finite-element Approximations and Iterative Solutions of a Fourth-order Elliptic Variational Inequality
• A mixed finite element solution of some biharmonic unilateral problem

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