Sard kernel theorems on triangular domains with application to finite element error bounds
From MaRDI portal
Publication:1216929
DOI10.1007/BF01399411zbMath0304.65076MaRDI QIDQ1216929
John A. Gregory, Robert E. Barnhill
Publication date: 1976
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/132375
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05)
Related Items
Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation., Surfaces in computer aided geometric design: A survey with new results, Several notes on the circumradius condition., Scattered data interpolation and approximation with error bounds, On the maximum angle condition for the conforming longest-edge \(n\)-section algorithm for large values of \(n\), Surfaces generation by blending interpolation on a triangle with one curved side, Sharp geometric requirements in the Wachspress interpolation error estimate, On Equivalence of Maximum Angle Conditions for Tetrahedral Finite Element Meshes, On angle conditions in the finite element method, Bernstein-type operators on elliptic domain and their interpolation properties, The maximum angle condition is not necessary for convergence of the finite element method, Extension of some particular interpolation operators to a triangle with one curved side, On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions, On Mesh Regularity Conditions for Simplicial Finite Elements, On the generalization of the Synge-Křížek maximum angle condition for \(d\)-simplices, On the properties of Sard kernels and multiple error estimates for bounded linear functionals of bivariate functions with application to non-product cubature, Error estimates for approximations from control nets, Interpolation remainder theory from Taylor expansions on triangles, Semiregular Hermite tetrahedral finite elements., Interpolation operators on a triangle with one curved side, Computable interpolation error constants for the geometric simplex finite elements, Nielson interpolation operators on an arbitrary triangle with one curved side, Interpolation in triangles, Finite element method with local damage of the mesh, Longest-edge \(n\)-section algorithms: properties and open problems, Extension of Some Generalized Hermite-Type Interpolation Operators to the Triangle with One Curved Side, On semiregular families of triangulations and linear interpolation
Cites Work
