BGG sequences with weak regularity and applications

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Differential complexes (58J10) Overdetermined systems of PDEs with constant coefficients (35N05)

Cites Work

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Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
Characterization of the kernel of the operator CURL CURL
On Bogovskiĭ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains
Intrinsic methods in elasticity: a mathematical survey
Involution. The formal theory of differential equations and its applications in computer algebra
On the range of applicability of the Reissner--Mindlin and Kirchhoff--Love plate bending models
A comparative review of recent researches in geometry. Translated by Dr. M. W. Haskell.
Nodal finite element de Rham complexes
Mixed finite elements for elasticity
Sharp conditions for Korn inequalities in Orlicz spaces
Differential complexes in continuum mechanics
Poincaré path integrals for elasticity
Lie algebra cohomology and the generalized Borel-Weil theorem
Generalized Korn's inequality and conformal Killing vectors
Hodge decomposition for symmetric matrix fields and the elasticity complex in Lipschitz domains
The finite element method with Lagrangian multipliers
THE REISSNER–MINDLIN PLATE IS THE Γ-LIMIT OF COSSERAT ELASTICITY
A second elasticity element using the matrix bubble
Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
The Incompatibility Operator: from Riemann’s Intrinsic View of Geometry to a New Model of Elasto-Plasticity
Applications of Algebraic Topology in Elasticity
Finite element exterior calculus, homological techniques, and applications
A Uniformly Accurate Finite Element Method for the Reissner–Mindlin Plate
Finite element exterior calculus: from Hodge theory to numerical stability
Mixed finite element methods for linear elasticity with weakly imposed symmetry
A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy
Möbius structures and two dimensional EinsteinWeyl geometry
Mixed Finite Element Methods and Applications
Microcontinuum Field Theories
Conforming discrete Gradgrad-complexes in three dimensions
The divDiv-complex and applications to biharmonic equations
Trace-Free Korn Inequalities in Orlicz Spaces
PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS
Bernstein-Gelfand-Gelfand sequences

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