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 …
Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with …
We present a specific-purpose globalized and preconditioned Newton-CG solver to minimize a metric-aware curved high-order mesh distortion. The solver is specially devised …
Computational analysis with the finite element method requires geometrically accurate meshes. It is well known that high-order meshes can accurately capture curved surfaces with …
This research note presents an algorithm that takes an input mesh and constructs a finite element function, on an automatically defined background mesh, whose zero level set …
This research note presents an algorithm that takes an input mesh and constructs a finite element function, on an automatically defined background mesh, whose zero level set …