A non-conforming finite element method for solving a least-square formulation of Tricomi's problem

DOI10.1016/0045-7825(83)90016-6zbMath0501.73071OpenAlexW2002670074MaRDI QIDQ1172438

Charles-Henri Bruneau

Publication date: 1983

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90016-6

zbMATH Keywords

Newton's methodincomplete Cholesky conjugate gradient algorithmglobal least-square formulationplane Tricomi's equationZienkiewicz's finite element

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Finite element methods applied to problems in solid mechanics (74S05) Numerical and other methods in solid mechanics (74S99) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Cites Work

• The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators
• A Finite Element Method for a Boundary Value Problem of Mixed Type
• Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• Methods of conjugate gradients for solving linear systems
• A uniqueness threorem for Frankl's problem
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