A universal algorithm constructs DOF transformation matrices for arbitrary Ciarlet elements from the element definition and reference cell only, implemented in Basix.
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Donatella Marini
3 Pith papers cite this work, alongside 1,250 external citations. Polarity classification is still indexing.
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2026 3representative citing papers
A pure-pseudostress mixed FEM for the elasticity eigenproblem is locking-free, needs no symmetry constraint, and comes with a priori and residual a-posteriori error estimates that remain valid as Poisson ratio approaches 1/2.
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.
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Algorithm XXXX: Computation of finite element degree-of-freedom transformation matrices
A universal algorithm constructs DOF transformation matrices for arbitrary Ciarlet elements from the element definition and reference cell only, implemented in Basix.
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A locking free mixed FEM based on a pure pseudostress based formulation for the elasticity eigenproblem
A pure-pseudostress mixed FEM for the elasticity eigenproblem is locking-free, needs no symmetry constraint, and comes with a priori and residual a-posteriori error estimates that remain valid as Poisson ratio approaches 1/2.
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Achieving Material Robustness via Symmetric Stress Finite Element Discretizations
Strong enforcement of symmetry in H(div)-conforming finite elements yields material-robust stress approximations independent of the constitutive law, whereas weak enforcement produces arbitrarily poor results even in zero-stress cases with anisotropic laws.