David Andrs

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In linear thermoelasticity models, the temperature T and the displacement components u1, u2 exhibit large qualitative differences: While T typically is very smooth everywhere in the domain, the displacements u1, u2 have singular gradients (stresses) at re-entrant corners and edges. The mesh must be extremely fine in these areas so that stress intensity(More)
In this paper we discuss constrained approximation with arbitrary-level hanging nodes in adaptive higher-order finite element methods (hp-FEM) for three-dimensional problems. This technique enables using highly irregular meshes, and it greatly simplifies the design of adaptive algorithms as it prevents refinements from propagating recursively through the(More)
The Cahn–Hilliard (CH) equation is a time-dependent fourth-order partial differential equation (PDE). When solving the CH equation via the finite element method (FEM), the domain is discretized by C-continuous basis functions or the equation is split into a pair of second-order PDEs, and discretized via C-continuous basis functions. In the current work, a(More)
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