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A Reissner–Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations
In this work we develop new finite element discretisations of the shear-deformable Reissner–
Mindlin plate problem based on the Hellinger–Reissner principle of symmetric stresses …
Mindlin plate problem based on the Hellinger–Reissner principle of symmetric stresses …
Novel H (symCurl)-conforming finite elements for the relaxed micromorphic sequence
In this work we construct novel H (sym Curl)-conforming finite elements for the recently
introduced relaxed micromorphic sequence, which can be considered as the completion of …
introduced relaxed micromorphic sequence, which can be considered as the completion of …
Primal and mixed finite element formulations for the relaxed micromorphic model
The classical Cauchy continuum theory is suitable to model highly homogeneous materials.
However, many materials, such as porous media or metamaterials, exhibit a pronounced …
However, many materials, such as porous media or metamaterials, exhibit a pronounced …
Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications
The three-part paper deals with energy-minimal multiple crack propagation in a linear elastic
solid under quasi-static conditions. The principle of minimum total energy, ie the sum of the …
solid under quasi-static conditions. The principle of minimum total energy, ie the sum of the …
Parallelized 3D CSEM modeling using edge-based finite element with total field formulation and unstructured mesh
We solve the 3D controlled-source electromagnetic (CSEM) problem using the edge-based
finite element method. The modeling domain is discretized using unstructured tetrahedral …
finite element method. The modeling domain is discretized using unstructured tetrahedral …
[HTML][HTML] Polytopal templates for semi-continuous vectorial finite elements of arbitrary order on triangulations and tetrahedralizations
The Hilbert spaces H (curl) and H (div) are employed in various variational problems
formulated in the context of the de Rham complex in order to guarantee well-posedness …
formulated in the context of the de Rham complex in order to guarantee well-posedness …
Higher order Bernstein–Bézier and Nédélec finite elements for the relaxed micromorphic model
The relaxed micromorphic model is a generalized continuum model that is well-posed in the
space X=[H 1] 3×[H (curl)] 3. Consequently, finite element formulations of the model rely on …
space X=[H 1] 3×[H (curl)] 3. Consequently, finite element formulations of the model rely on …
Spectral element method for 3-D controlled-source electromagnetic forward modelling using unstructured hexahedral meshes
For forward modelling of realistic 3-D land-based controlled-source electromagnetic (EM)
problems, we develop a parallel spectral element approach, blending the flexibility and …
problems, we develop a parallel spectral element approach, blending the flexibility and …
A hybrid finite element formulation for a relaxed micromorphic continuum model of antiplane shear
One approach for the simulation of metamaterials is to extend an associated continuum
theory concerning its kinematic equations, and the relaxed micromorphic continuum …
theory concerning its kinematic equations, and the relaxed micromorphic continuum …
Efficient goal-oriented mesh refinement in 3-D finite-element modelling adapted for controlled source electromagnetic surveys
We developed a 3-D forward modelling code, which simulates controlled source
electromagnetic problems in frequency domain using edge-based finite elements and a total …
electromagnetic problems in frequency domain using edge-based finite elements and a total …