Engineering Notes on Concepts of the Finite Element Method for Elliptic Problems

DOI10.1007/978-3-030-33520-5_1zbMath1453.65417OpenAlexW2991335284MaRDI QIDQ5115149

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Publication date: 29 June 2020

Published in: Novel Finite Element Technologies for Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-33520-5_1

zbMATH Keywords

finite element methodvariational formulationselliptic boundary value problems

Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Linear elasticity with initial stresses (74B10) Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Variational principles of continuum mechanics. II: Applications
• Reduced symmetry elements in linear elasticity
• The inf-sup test
• Negative Norm Estimates and Superconvergence in Galerkin Methods for Parabolic Problems
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• A Crank–Nicolson–$H^{ - 1} $–Galerkin Procedure for Parabolic Problems in a Single-Space Variable
• Mixed Finite Element Methods and Applications
• Galerkin Finite Element Methods for Parabolic Problems
• Finite elements. Theory, fast solvers and applications in elasticity theory
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