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On the finite element method
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Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01451590openalex-snapshot
Die Randwert-und Eigenwertprobleme aus der Theorie der elastischen Platten. (Anwendung der direkten Methoden der Variationsrechnung)
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Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
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Numerical methods of high-order accuracy for nonlinear boundary value Problems
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The finite element method in structural and continuum mechanics,
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A conforming finite element for plate bending
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Proceedings From the Symposium On
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Variational methods for the solution of problems of equilibrium and vibrations
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NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS
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Approximate Methods for Solution of Differential and Integral Equations
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A Course of Higher Mathematics. Vol V.
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Approximation des espaces de distributions et des opérateurs différentiels
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Approximation variationnelle des problèmes aux limites
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Adaptive finite element analysis of 2-D static and steady-state electromagnetic problems
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Viscoelastic rocket grain fracture analysis
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Reduced piecewise bivariate Hermite interpolations
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Ritz approximations to two-dimensional boundary value problems
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ON THE NUMERICAL SOLUTION OF ELLIPTIC BOUNDARY VALUE PROBLEMS BY LEAST SQUARES APPROXIMATION OF THE DATA**This research was supported in part by the National Science Foundation under Grant Number NSF-GP-22936.
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THE FINITE ELEMENT METHOD AND APPROXIMATION THEORY**The preparation of this paper was supported by the National Science Foundation (GP-13778) and by the Office of Naval Research.
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A Survey of Some Finite Element Methods Proposed for Treating the Dirichlet Problem
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Realistic Estimates for Generic Constants in Multivariate Pointwise Approximation
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FINITE ELEMENTS—THE BACKGROUND STORY
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SOME RECENT ADVANCES IN THE MATHEMATICS OF FINITE ELEMENTS
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ERROR ANALYSIS OF FINITE ELEMENT METHODS WITH TRIANGLES FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
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ORDERS OF CONVERGENCE IN FINITE ELEMENT METHODS
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FINITE ELEMENT APPLICATIONS IN MATHEMATICAL PHYSICS
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From finite differences to finite elements A short history of numerical analysis of partial differential equations
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Numerical analysis in the twentieth century
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The Approximate Scalar Potential
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Mass-conservative finite volume methods on 2-D unstructured grids for the Richards’ equation
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Finite number of similarity classes in Longest Edge Bisection of nearly equilateral tetrahedra
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Reduced averaging of directional derivatives in the vertices of unstructured triangulations
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Estimation of the interpolation error for semiregular prismatic elements
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On the maximum angle condition for the conforming longest-edge n-section algorithm for large values of n
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Hermite parametric surface interpolation based on Argyris element
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Angle-bounded 2D mesh simplification
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Error estimates of triangular finite elements under a weak angle condition
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On global and local mesh refinements by a generalized conforming bisection algorithm
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Longest-edge n -section algorithms: Properties and open problems
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On the generalization of the Synge–Křížek maximum angle condition for d -simplices
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A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains
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A new P1 weak Galerkin method for the Biharmonic equation
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Variable resolution Poisson-disk sampling for meshing discrete fracture networks
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Enhancing interpolation and approximation error estimates using a novel Taylor-like formula
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Uniformization of an annulus via discretization of harmonic conjugate pair
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On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
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The minimum angle condition for d -simplices
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Curved elements in weak Galerkin finite element methods
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An “immersed” finite element method based on a locally anisotropic remeshing for the incompressible Stokes problem
inferred← citeshttps://doi.org/10.1016/j.finel.2009.03.002openalex-snapshot
Selective finite element refinement in torsional problems based on the membrane analogy
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Finite Element Method (FEM) computations in frequency domain & photonic band diagram: Applications to microcavity characterization
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Error analysis of Lagrange interpolation on tetrahedrons
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The tempered finite element method
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h, r, and hr adaptivity with applications in numerical ocean modelling
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Diagnostics for eddy viscosity models of turbulence including data-driven/neural network based parameterizations
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On numerical regularity of the face-to-face longest-edge bisection algorithm for tetrahedral partitions
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Quadrilateral mesh revisited
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Finite Element Methods in Continuum Mechanics
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References and Sources for Further Reading
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Construction of explicit extension operators on general finite element grids
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On the history of multivariate polynomial interpolation
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From finite differences to finite elements
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Some multilevel methods on graded meshes
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Analysis of the hybrid finite element/finite volume methods for linear hyperbolic and convection-dominated convection–diffusion problems
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Approximation and interpolation theory
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Finite elements: An introduction
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Basic error estimates for elliptic problems
inferred← citeshttps://doi.org/10.1017/s000497270002150xopenalex-snapshot
The finite difference versus the finite element method for the solution of boundary value problems
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