We detail how to use Newton's method for distortion-based curved r-adaption to a discrete
high-order metric field while matching a target geometry. Specifically, we combine two terms …

Polycube‐maps are used as base‐complexes in various fields of computational geometry,
including the generation of regular all‐hexahedral meshes free of internal singularities …

A variational method that can provably construct 3D quasi-isometric mappings between
domains of a complex shape is introduced. A local maximum principle for polyconvex mesh …

Mesh optimization procedures are generally a combination of node smoothing and discrete
operations which affect a small number of elements to improve the quality of the overall …

A new mesh generation process for wind farm modeling is presented together with a mesh
convergence and sizing analysis for wind farm flow simulations. The generated meshes are …

We detail how to use Newton's method for distortion-based curved r-adaption to a discrete
high-order metric field. To this end, we consider three existent ingredients. First, a specific …

We define a regularized shape distortion (quality) measure for curved high-order 2D
elements on a Riemannian plane. To this end, we measure the deviation of a given 2D …

We define a regularized size-shape distortion (quality) measure for curved high-order
elements on a Riemannian space. To this end, we measure the deviation of a given …

We present a new quantitative method for detecting changes in 3D medical images. The
dissimilarity between shapes is quantified as a measure of the effort it takes to deform one …

We consider an algorithm for construction of thick prismatic mesh layers which works as
follows. A triangular surface mesh is specified as input. Then, thin initial layer of highly …