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Curved elements in the finite element method

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/nme.1620030407openalex-snapshot
An automatic mesh generation scheme for plane and curved surfaces by ‘isoparametric’ co‐ordinates
inferredcites →https://doi.org/10.1002/nme.1620050307openalex-snapshot
The finite element method in domains with curved boundaries
inferredcites →https://doi.org/10.1002/nme.1620070109openalex-snapshot
A remark on the ‘Serendipity family’
inferredcites →https://doi.org/10.1007/bfb0069128openalex-snapshot
Curved elements in the finite element method
inferredcites →https://doi.org/10.1007/bfb0069136openalex-snapshot
Algebraic-geometry foundations for finite-element computation
inferredcites →https://doi.org/10.1016/0270-0255(80)90055-xopenalex-snapshot
Algebraic geometry foundations for finite element computation
inferredcites →https://doi.org/10.1016/b978-0-12-068650-6.50020-4openalex-snapshot
THE COMBINED EFFECT OF CURVED BOUNDARIES AND NUMERICAL INTEGRATION IN ISOPARAMETRIC FINITE ELEMENT METHODS
inferredcites →https://doi.org/10.1016/b978-0-12-068650-6.50030-7openalex-snapshot
VARIATIONAL CRIMES IN THE FINITE ELEMENT METHOD
inferredcites →https://doi.org/10.1016/b978-0-12-068650-6.50036-8openalex-snapshot
GEOMETRIC ASPECTS OF THE FINITE ELEMENT METHOD
inferredcites →https://doi.org/10.1093/imamat/10.3.382openalex-snapshot
The Construction of Basis Functions for Curved Elements in the Finite Element Method
inferredcites →https://doi.org/10.1093/imamat/11.1.83openalex-snapshot
A Rational Basis for Function Approximation
inferredcites →https://doi.org/10.1115/1.3640587openalex-snapshot
Numerical Methods in Engineering
inferredcites →https://doi.org/10.2307/2005635openalex-snapshot
Approximate Calculation of Multiple Integrals

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Incoming claims: where this work appears in other papers’ reference lists and arguments.

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NURBS‐enhanced finite element method (NEFEM)
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Stabilität bei der Methode der Finiten Elemente for Quasilineare Elliptische Randwertprobleme
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Curved Boundaries in the Finite Element Method
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Computation of Turning Points of the Stationary Navier-Stokes Equations Using Mixed Finite Elements
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Ideal Curved Elements and the Discontinuous Galerkin Method
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The Finite Element Analysis of an Elliptic Problem with a Nonlinear Newton Boundary Condition
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Dual finite element analysis for some elliptic variational equations and inequalities
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Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem
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The finite element method for nonlinear elliptic equations with discontinuous coefficients
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Finite element variational crimes in parabolic-elliptic problems
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Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
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Finite element solution of nonlinear elliptic problems
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Compactness method in the finite element theory of nonlinear elliptic problems
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Numerical solution of the stationary navier-stokes equations by finite element methods
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Finite element solution of a nonlinear diffusion problem with a moving boundary
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Zur lokalen Konvergenz von Projektionen auf finite Elemente
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Unconditional stability and error estimates of modified characteristics FEMs for the Navier–Stokes equations
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Three-dimensional differential equations dynamic analysis for non-linear structures
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Interpolation operators on a tetrahedron with three curved edges
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Isoparametric C 0 interior penalty methods for plate bending problems on smooth domains
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Nielson interpolation operators on an arbitrary triangle with one curved side
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Optimal Error Analysis of Galerkin FEMs for Nonlinear Joule Heating Equations
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A New Error Analysis of Crank–Nicolson Galerkin FEMs for a Generalized Nonlinear Schrödinger Equation
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Unconditionally Optimal Error Analysis of Crank–Nicolson Galerkin FEMs for a Strongly Nonlinear Parabolic System
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Optimal Error Estimates of Semi-implicit Galerkin Method for Time-Dependent Nematic Liquid Crystal Flows
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NURBS-Enhanced Finite Element Method (NEFEM)
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An a priori error estimate of the Dirichlet-to-Neumann finite element method for multiple scattering problems
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Lupaş type Bernstein operators on triangle with one curve side
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Hermite interpolation over curved finite elements
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On a mixed finite-element method in problems of shell theory
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Cubic isoparametric rolling/traveling finite elements
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Curved affine quadratic finite elements
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Extensions and generalisations of rational and high order transformation methods
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THE COMBINED EFFECT OF CURVED BOUNDARIES AND NUMERICAL INTEGRATION IN ISOPARAMETRIC FINITE ELEMENT METHODS
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Matching of Essential Boundary Conditions in the Finite Element Method
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Mapped elements and numerical integration — ‘infinite’ and ‘singularity elements’
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Bernstein-type operators on a triangle with all curved sides
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On the existence of strongly regular families of triangulations for domains with a piecewise smooth boundary
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On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients
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Extension of Some Positive and Linear Operators to Domains with Curved Sides
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Improving accuracy of high-order discontinuous Galerkin method for time-domain electromagnetics on curvilinear domains
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Sharply local pointwise a posteriori error estimates for parabolic problems
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Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
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A finite element method for Reissner-Mindlin plates
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Asymptotic Analysis of the Laminar Viscous Flow Over a Porous Bed
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Extension of some Cheney-Sharma type operators to a triangle with one curved side
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Curved elements in a mixed finite element method close to the equilibrium model
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The existence and uniqueness theorem in Biot's consolidation theory
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Internal finite element approximation in the dual variational method for the biharmonic problem
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Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems
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Finite element solution of a hyperbolic-parabolic problem
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On the 60th birthday of Professor Miloš Zlámal
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Approximation by λ-Bernstein type operators on triangular domain
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Approximation by Stancu-type operators on a triangular domain with curved sides
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Numerical integration on higher dimensional simplicial and curved finite elements
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A Mesh Method for Solving Fourth-Order Quasilinear Elliptic Equations
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A Review on Some Linear Positive Operators Defined on Triangles
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Cheney–Sharma Type Operators on a Triangle with Straight Sides
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Bernstein-type operators on triangles
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Interpolation operators on a triangle with two and three curved edges
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Cheney–Sharma type operators on a triangle with two and three curved edges
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NURBS-Enhanced Finite Element Method (NEFEM)
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