Concepedia

Space-time finite element methods for elastodynamics: Formulations and error estimates

Thomas J.R. Hughes, Gregory M. Hulbert

Computer Methods in Applied Mechanics and Engineering · 1988 · 544 citations · 25 references

Concepts

ComputingComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsConvergence AnalysisDynamic Finite Element AnalysisError EstimationFinite Element DiscretizationFinite Element FormulationNonlinear Finite Element AnalysisA Posteriori Error EstimatesA Priori Error EstimatesError Estimation For Finite Element SolutionsError Estimation In Dynamic Finite ElementsStiffness Matrix Formulation

References

25

An analysis of the finite element method

Advances in Water Resources · 1980 · 3.5K citations

Computing, Computational Engineering, Mechanical Engineering +12

An Analysis of the Finite Element Method

E. I., Gilbert Strang, George J. Fix · Mathematics of Computation · 1974 · 3.5K citations

Computing, Computational Engineering, Mechanical Engineering +12

A special stability problem for linear multistep methods

Germund Dahlquist · BIT Numerical Mathematics · 1963 · 1.3K citations

Natural Sciences, Mathematics, Dynamical Systems +10

Finite element methods for linear hyperbolic problems

Claes Johnson, Uno Nävert, Juhani Pitkäranta · Computer Methods in Applied Mechanics and Engineering · 1984 · 689 citations

Computing, Computational Engineering, Physics +9

GREEN'S FUNCTIONS AND BOUNDARY VALUE PROBLEMS

A. B. Tayler · Bulletin of the London Mathematical Society · 1980 · 504 citations

Natural Sciences, Computational Engineering, Differential Equations +11