Computational Experiments and Techniques for the Penalty Method with Extrapolation

DOI10.2307/2006260zbMath0384.65057OpenAlexW4234022969MaRDI QIDQ4164764

J. Thomas King, Steven M. Serbin

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2006260

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10)

Related Items (4)

Shape optimization by means of the penalty method with extrapolation ⋮ Extrapolation and the method of regularization for generalized inverses ⋮ A note on the efficient solution of matrix pencil systems ⋮ Finite element approximation of the Dirichlet problem using the boundary penalty method

Cites Work

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• Partitioning, tearing and modification of sparse linear systems
• A quasioptimal finite element method for elliptic interface problems
• Boundary flux estimates for elliptic problems by the perturbed variational method
• New error bounds for the penalty method and extrapolation
• Symmetric decmposition of positive definite band matrices
• Approximation des problèmes aux limites non homogènes et régularité de la convergence
• Modification Methods for Inverting Matrices and Solving Systems of Linear Algebraic Equations
• The Finite Element Method with Penalty
• Computational Investigations of Least-Squares Type Methods for the Approximate Solution of Boundary Value Problems
• Methods for Modifying Matrix Factorizations
• Nested Dissection of a Regular Finite Element Mesh

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